materia: fisica ii

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CENTRO DE BACHILLERATO TECNOLÓGICO INDUSTRIAL Y DE SERVICIOS NO. 21 ALVARO OBREGON SALIDO MATERIA: FISICA II TEMA: Nombre del docente: Ritchie Manríquez José Antonio Nombre del alumno Aviña Ureña Amy Semestre y Grupo: 5to A Especialidad: Técnico en Administración de Recursos Humanos. Fecha de envío

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Page 1: MATERIA: FISICA II

1

CENTRO DE BACHILLERATO TECNOLOacuteGICO INDUSTRIAL Y DE

SERVICIOS NO 21 ALVARO OBREGON SALIDO

MATERIA FISICA II

TEMA

Nombre del docente Ritchie Manriacutequez Joseacute Antonio

Nombre del alumno Avintildea Urentildea Amy

Semestre y Grupo 5to A

Especialidad Teacutecnico en Administracioacuten de Recursos Humanos

Fecha de enviacuteo

2

iacuteNDICE

HIDROSTAacuteTICA E HIDRODINAacuteMICA

Conceptos de hidraacuteulica e hidrostaacuteticahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip3

Presioacutenhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip5

Presioacuten hidrostaacuteticahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip6

Presioacuten atmosfeacutericahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip9

Presioacuten manomeacutetrica y presioacuten absolutahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip12

Principio de Pascal y principio de Arquiacutemedeshelliphelliphelliphelliphelliphelliphelliphelliphelliphellip14

Hidrodinaacutemicahelliphelliphelliphelliphelliphellip17

Aplicaciones de la hidrodinaacutemica y suposiciones para facilitar su estudiohelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip19

Gasto de un liacutequidohelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip21

Teorema de Bernoulli y su aplicacioacutenhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip24

Actividad adicionalhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip28

Ejercicios hechos en clasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip30

Particiones en clasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip31

Bibliografiacuteahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip38

3

HIDROSTAacuteTICA E HIDRODINAacuteMICA

iquestQueacute es hidraacuteulica

iquestQueacute es hidrostaacutetica

4

119875 119875 120574 ℎ ℎ

119875 119875 119873 119898

120574 119873 119898

ℎ ℎ m

5

Modelo matemaacutetico

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 2: MATERIA: FISICA II

2

iacuteNDICE

HIDROSTAacuteTICA E HIDRODINAacuteMICA

Conceptos de hidraacuteulica e hidrostaacuteticahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip3

Presioacutenhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip5

Presioacuten hidrostaacuteticahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip6

Presioacuten atmosfeacutericahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip9

Presioacuten manomeacutetrica y presioacuten absolutahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip12

Principio de Pascal y principio de Arquiacutemedeshelliphelliphelliphelliphelliphelliphelliphelliphelliphellip14

Hidrodinaacutemicahelliphelliphelliphelliphelliphellip17

Aplicaciones de la hidrodinaacutemica y suposiciones para facilitar su estudiohelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip19

Gasto de un liacutequidohelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip21

Teorema de Bernoulli y su aplicacioacutenhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip24

Actividad adicionalhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip28

Ejercicios hechos en clasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip30

Particiones en clasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip31

Bibliografiacuteahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellip38

3

HIDROSTAacuteTICA E HIDRODINAacuteMICA

iquestQueacute es hidraacuteulica

iquestQueacute es hidrostaacutetica

4

119875 119875 120574 ℎ ℎ

119875 119875 119873 119898

120574 119873 119898

ℎ ℎ m

5

Modelo matemaacutetico

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 3: MATERIA: FISICA II

3

HIDROSTAacuteTICA E HIDRODINAacuteMICA

iquestQueacute es hidraacuteulica

iquestQueacute es hidrostaacutetica

4

119875 119875 120574 ℎ ℎ

119875 119875 119873 119898

120574 119873 119898

ℎ ℎ m

5

Modelo matemaacutetico

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 4: MATERIA: FISICA II

4

119875 119875 120574 ℎ ℎ

119875 119875 119873 119898

120574 119873 119898

ℎ ℎ m

5

Modelo matemaacutetico

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 5: MATERIA: FISICA II

5

Modelo matemaacutetico

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 6: MATERIA: FISICA II

6

iquestQueacute es

Foacutermula de la presioacuten hidrostaacutetica

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 7: MATERIA: FISICA II

7

middot middot

middot

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 8: MATERIA: FISICA II

8

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 9: MATERIA: FISICA II

9

iquestQueacute es

iquestCoacutemo se mide la presioacuten atmosfeacuterica

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 10: MATERIA: FISICA II

10

Foacutermula

Donde

ρ

De este modo si

bull ρ

bull

ρ middot middot

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 11: MATERIA: FISICA II

11

bull

bull

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 12: MATERIA: FISICA II

12

iquestQueacute es

iquestCuaacutel es la relacioacuten entre la presioacuten manomeacutetrica y la presioacuten absoluta

+

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 13: MATERIA: FISICA II

13

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 14: MATERIA: FISICA II

14

Principio de Pascal

119891

119886

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 15: MATERIA: FISICA II

15

Principio de Arquiacutemedes

119865

119860

119865

119860

119891

119886

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 16: MATERIA: FISICA II

16

sup3

sup3

sup2

ρ sup3

119864 ∙

119864 = p ∙119892 ∙ V

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 17: MATERIA: FISICA II

17

iquestQueacute es hidrodinaacutemica

bull

bull

bull

bull

iquestQueacute estudia la hidrodinaacutemica

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 18: MATERIA: FISICA II

18

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 19: MATERIA: FISICA II

19

Aplicaciones de la hidrodinaacutemica

Suposiciones para facilitar su estudio

bull

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 20: MATERIA: FISICA II

20

bull

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 21: MATERIA: FISICA II

21

Concepto

Modelo matemaacutetico

G = 119881

119905

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 22: MATERIA: FISICA II

22

Flujo

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 23: MATERIA: FISICA II

23

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 24: MATERIA: FISICA II

24

ρ

bull

bull

bull

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 25: MATERIA: FISICA II

25

Ecuacioacuten de teorema de Bernoulli

bull

bull

bull

bull

bull

Aplicaciones del teorema

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 26: MATERIA: FISICA II

26

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 27: MATERIA: FISICA II

27

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 28: MATERIA: FISICA II

28

119898

000121198983

20119904= 000006 1198983119904 = 006 litros segundo

006 119897119894119905119903119900119904

119904119890119892119906119899119889119900119904 x 60s =36 Litros minuto

G= 36 119897119894119905119903119900119904

119898119894119899119906119905119900119904 x 60 minutos= 216 Litros hora

G = 216119897119894119905119903119900119904

ℎ119900119903119886119904 x 24 horas= 5184 Litrosdiacutea

G = 5184119897119894119905119903119900119904

119889iacute119886119904 x 7 diacuteas= 36288 Litrossemana

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 29: MATERIA: FISICA II

29

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 30: MATERIA: FISICA II

30

Hidrostaacutetica

119865

119860

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 31: MATERIA: FISICA II

31

P=

Pf = 60 kgf

A= 370 cm2

1kgf = 981 N

1m2= 10000 cm2

1kp= 1000 pascal

1 atmosfera= 760

miliacutemetros mercurio de

presioacuten

119865

119860

119865

119860

60 119896119892119891

3701198881198982

119896119892119891

1198881198982

119896119892119891

1198881198982 (9811198731119896119892119891

) (100001198881198982

11198982 ) 119873

1198982

( 11198961199011198861000119875119886

)

119875ℎ =

120588 = 1 000 119896119892

1198983

119892 = 981 1198981199042

ℎ = 5 m

119875ℎ = 120588 119892 ℎ 119875ℎ = 120588 119892 ℎ

Ph= (1000 Kgmsup3) (981 mssup2) (5m)

Ph= 49050 Nmsup2 o Pa

F=

A= 03 m2

P= 420 Pa

F=AP F= (P) (A)

F= (03 m2) (420 Pa)

F= 126 N

Mencioneacute la formula

de esta actividad

Multipliqueacute en esta

actividad y di el

resultado

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 32: MATERIA: FISICA II

32

Hidrostaacutetica

F=

f= 200 N

A= 100 cm2

a= 15 cm2

119865

119860

119891

119886

F= (119891)(119860)

119886

F=(200119873)(1001198881198982 )

151198881198982

F=200001198731198881198982

151198881198982

F= 133333 N

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 33: MATERIA: FISICA II

33

F=

D= 20 cm

d= 8 cm

f= 150 N

119865

119860

119891

119886

A= πr2

a= πr2

d= 2r r= 119863 2

F= (119891)(119860)

119886

A= πr 2

r= 119863 2 A= 31416 (10 cm)2= 31416 cm2

a= 31416 (4 cm)2= 5026 cm2

F=(150119873)(314161198881198982 )

50261198881198982

F= 9375 N

D=

F= 2000 N

d= 10 cm

f= 100 N

119865

119860

119891

119886r= 119863 2

A= πr2

119865

π1199032=

119891

π1199032

119865

1198772=

119891π

π1199032

1198772 =Fπ1199032

1198772

119865=

π1199032

1198772 =Fπ1199032

119877 =radic119865π1199032

119877 =radic1198651199032

f

D= 2R

119877 =radic1198651199032

f

r= d 2

r=10119888119898

2= 5cm

119877 =radic(2000119873)((5119888119898)2)

100119873

119877 =radic(2000119873)(251198881198982)

100119873

R= radic500 cm2

R= 223606 cm

D= 2R

D= 2 (2236 cm)

D= 4472 cm

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 34: MATERIA: FISICA II

34

Hidrodinaacutemica

119881

119905

1198983

119904119890119892

119905

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 35: MATERIA: FISICA II

35

G=

t= frac14 de minuto= 15 seg

V= 2 m3

G=119881

119905

G= 119881

119905

G= 21198983

15 119904119890119892

G= 013 1198983

119904119890119892

π

119898 119904119890119892

119898119904119890119892

π

119898119904119890119892

G=

V= 4 119898

119904119890119892

D= 508 cm =0058 m

G=VA

A= π

4 d2

Conversioacuten de unidades

1 m= 100 cm

X= 508 cm

508 cm=508119888119898(1119898)

100119888119898

508 cm= 00508 m

A= π

4 d2

A=31416

4 (00508 m)2

A=31416

4 (000258 m)2

A= 0002 m2

G= VA

G= 4 119898

119904119890119892(0002 m2)

G= 00081198983

119904119890119892

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 36: MATERIA: FISICA II

36

D=

G= 031198983

119904119890119892

V= 8 119898

119904119890119892

G=VA

A= 119866119881

A= π

4 d2

d=radic4119860

π

A= 119866119881

A= 031198983

119904119890119892

8 119898119904119890119892

A= 00375 m2

d=radic4119860

π

d=radic4(00375 m2)

31416

d=radic015m2

31416

d= radic00477 m2

d= 0218 m

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 37: MATERIA: FISICA II

37

Hidrodinaacutemica liacutequidos en movimiento

radic2gh

V=

h= 015 m

g= 981119898

1199041198901198922

V=radic2gh

V=radic2gh

V=radic2(981119898

1199041198901198922 )(015119898)

V=radic293431198982

1199041198901198923

V= 171119898

119904119890119892

38

Page 38: MATERIA: FISICA II

38