It is required to lift water at the top of a high building at the rate of 50 litres/min. Assuming the losses due to friction equivalent to 5 m and those due to leakage equal to 5 m head of water, efficiency of pump 90%, decide the kilowatt capacity of motor required to drive the pump.

Question

It is required to lift water at the top of a high building at the rate of 50 litres/min. Assuming the losses due to friction equivalent to 5 m and those due to leakage equal to 5 m head of water, efficiency of pump 90%, decide the kilowatt capacity of motor required to drive the pump.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

It is required to lift water at the top of a high building at the rate of 50 litres/min. Assuming the losses due to friction equivalent to 5 m and those due to leakage equal to 5 m head of water, efficiency of pump 90%, decide the kilowatt capacity of motor required to drive the pump.

(a) 0.102 kW

(b) 0.202 kW

(c) 0.302 kW

(d) 0.402 kW

I have been asked this question in an international level competition.

This question is from Effect of Gyroscopic Couple on a Naval Ship during Steering and Pitching in section Gyroscopic Couple and Precessional Motion of Machine Dynamics

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Fred · Answer 1 · 2022-10-14T02:09:25+0000

Correct choice is (c) 0.302 kW

The best explanation: Work to be done = wQHg

w = 1 Kg/litre

Q = 50 litres per min

H = 20 + 5 + 5 = 30m

Work output/min = 1 x 50 x 30 x 9.81 Nm/min

Input power = 1 x 50 x 30 x 9.81/ 0.9 x 0.9 x1000 x 60

= 0.302 kW.

It is required to lift water at the top of a high building at the rate of 50 litres/min. Assuming the losses due to friction equivalent to 5 m and those due to leakage equal to 5 m head of water, efficiency of pump 90%, decide the kilowatt capacity of motor required to drive the pump.

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