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SOLUCIONES / EJERCICIOS DE PRESIÓN HIDROSTÁTICA PARA REPASAR

1.

h = 15 cm → h = 0.15 m

daceite = 880 kg / m^3

a) P = h · d · g

P = 0.15 · 880 · 9.8

P = 1293.6 Pa

b)

F = P · S

F = 1293.6 · 7.85 · 10-3

F = 10.15 N

c) Volumen cilindro = π · r2 · h

Volumen cilindro = π · 0.052 · 0.15

Volumen cilindro (aceite) = 1.18 · 10-3 m^3

m = d · V

m = 880 · 1.18 · 10-3

m = 1.04 kg

P = m · g

P = 1.04 · 9.8

P = 10.19 N

2.

dagua = 1000 kg / m^3

h = 4 m

P = h · d · g

P = 4 · 1000 · 9.8

P = 39200 Pa

3.

2

h = ?

P = 20000 hPa → 2000000 Pa

d = 1027 kg / m^3

P = h · d · g

2000000 = h · 1027 · 9.8

2000000 = 10064.6 · h

h = 198.72 m

4.

h = 10 km → 10000 m

d = 1027 kg / m^3

a) P = h · d · g

P = 10000 · 1027 · 9.8

P = 100646000 Pa

b) S = 500 cm2 → 0.05 m2

F = 100646000 · 0.05

F = 5032300 N

5.

P = ?

h = 300 m

d = 1030 kg / m^3

P = h · d · g

P = 300 · 1030 · 9.8

P = 3028200 Pa

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6.

P = ?

h = 3 m

d = 1000 kg / m^3

P = h · d · g

P = 3 · 1000 · 9.8

P = 29400 Pa