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The pressure of water on the ground floor is 160000 Pa. Calculate the pressure on the fifth floor, at a height of 15 m. - Physics

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Question

The pressure of water on the ground floor is 160000 Pa. Calculate the pressure on the fifth floor, at a height of 15 m.

Numerical

Solution

Pressure of water at ground floor = P, = 160000 Pa
Pressure of water at the fifth floor = P2 =?
Height of fifth floor = h = 15 m
Density of water = ρ = 1000 kgm−3
Difference in pressure of water at ground and fifth floor
= P1 – P2
Pressure of water due to height (h) = hρg
= P1 – P2 = hρg
160000 – P2= 15 × 1000 × 10
P2= 160000 – 150000
P2 = 10000 Pa

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Variation of Pressure with Depth in a Fluid
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Chapter 4: Pressure in Fluids - Practice Problems 4

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