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Question
The pressure in the water pipe on the ground floor of a building is 40000 pascals, whereas on the first floor it’s 10000 pascals. Find the height of the first floor. (Acceleration due to gravity g = 10 ms−2)
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Solution
Pressure on the ground floor of a building = P1 = 40000 Pa
Pressure on the first floor of a building = P2 = 10000 Pa
ρ = 1000 kg/m3 = density of water
Acceleration due to gravity = g = 10 m/s2
Difference in pressure = P1 – P2 = 40000 – 10000 = 30000 Pa
Let h = height of first floor
Pressure of water due to height (h) = hρg
30000 = h × 1000 × 10
h = `30000/10000` = 3 m
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