What is the average power output of an electric motor driving a pump for lifting 200 kg of water at a height of 100 m in 1 minute? Efficiency of pump is 75%

What is the average power output of an electric motor driving a pump for lifting 200 kg of water at a height of 100 m in 1 minute? Efficiency of pump is 75%

A
3.25 kW
B
7.84 kW
C
6.45 kW
D
4.44 kW

Solution:

Power output of the pump $= \frac{200 \times 100 \times 10}{60} W$

$∴$ Power input to the pump $= \frac{200 \times 100 \times 10}{60 \times 0.75} watt = 4.44 kW$

$∴$ Power output of the motor = 4.44 kW.

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