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Question: A pump having efficiency 75% lifts 800 kg water per minute from a 14 m deep well and throws at a spe...

A pump having efficiency 75% lifts 800 kg water per minute from a 14 m deep well and throws at a speed of 18 ms-1. Find the power of the pump.

A

2060 W

B

2490 W

C

3218 W

D

1400 W

Answer

2490 W

Explanation

Solution

Peff = dmdtgh=80060×10×14\frac{dm}{dt}gh = \frac{800}{60} \times 10 \times 14 = 56003W.\frac{5600}{3}W.

Papp = Peff × 43=224009\frac{4}{3} = \frac{22400}{9} = 2488.88 W