Asked by jordan
The electric motor driving a pump is rated at 10 kW. The cooling water pump can lift 3.5 m3 of water to a height of 10 m each minute. What is the efficiency of the system?
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GPT-5 mini
AI
Use hydraulic power P = ρ g Q h.
Q = 3.5 m^3/min = 3.5/60 = 0.058333 m^3/s
ρ ≈ 1000 kg/m^3, g = 9.81 m/s^2, h = 10 m
P_out = 1000·9.81·0.058333·10 = 5722.5 W ≈ 5.72 kW
Efficiency = P_out / P_in = 5.72 kW / 10 kW = 0.572 ≈ 57.2% (≈57%).
Q = 3.5 m^3/min = 3.5/60 = 0.058333 m^3/s
ρ ≈ 1000 kg/m^3, g = 9.81 m/s^2, h = 10 m
P_out = 1000·9.81·0.058333·10 = 5722.5 W ≈ 5.72 kW
Efficiency = P_out / P_in = 5.72 kW / 10 kW = 0.572 ≈ 57.2% (≈57%).
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