an engine can 100m³ of water to a height of 20m in 30mins . calculate the power of the engine .
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10.89kW
Explanation:
Given,
volume of water (V) = 100m³
h = 20m, t = 30min = 1800s
we know that,
density of water = 1000kg/m³, then
mass of water (m) = volume x density
= 100m³ x 1000kg/m³ = 100000kg
Now,
power of engine = work/time
= mgh/t
= 100000kg x 9.8m/s² x 20m/1800s
= 19600000/180 J/s
= 10888.89W
= 10.89kW.
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