Question

A dam is filled water till a height of 130 m. If the mass of water per cubic centimeter is lg, then find the pressure acting at bottom of dam A 30 X 10Pa B) 13 x 10% Pa C) 130 Pa D) 13 Pa D A B
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Answer 1

1300 kPa

Given that,

Height of Dam = 130 m

Density of water = 1 gram/cm³ = 1000 kg/m³

Acceleration due to gravity = 10 m/s²

Pressure of liquid at height h is given by

P = α×g×h

where

P = Pressure

α = density of liquid

g = acceleration due to gravity

h = height of fluid

Assuming g = 10 m/s²

∴ P = 1000 × 10 × 130 kg/m³ × m/s² × m

∴ P = 1300 × 1000 kg/m.s²

∴ P = 1300 kPa