materia: fisica ii
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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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
fπ
1198772
119865=
π1199032
fπ
1198772 =Fπ1199032
fπ
119877 =radic119865π1199032
fπ
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
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
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
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
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
38
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