A water pump that consumes 2 kW of electric power when operating is claimed to t

jazzcutie0h

jazzcutie0h

Answered question

2021-11-20

A water pump that consumes 2 kW of electric power when operating is claimed to take in water from a lake and pump it to a pool whose free surface is 30 m above the free surface of the lake at a rate of 50 L/s. Determine if this claim is reasonable.

Answer & Explanation

mylouscrapza

mylouscrapza

Beginner2021-11-21Added 22 answers

We have power=2kW=2000 Wz=30 mVol=50 Ls=005 m3sg=9.8 ms2 

e=gz=9.8×30=294 J 
Power=me=ρVole=14700 W=14.7 kW 
The claim is false as the claimed power consumption is 2 kW which is much less than the required power consumption (14.7 kW) 

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