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

jazzcutie0h 2021-11-20 Answered
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.
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Expert Answer

mylouscrapza
Answered 2021-11-21 Author has 22 answers
Givens:
Power=2kW=2000 W
z=30 m
Vol=50 Ls=005 m3s
g=9.8 ms2
Solution:
The total cahnge in the system mechanical energy can be calculated as follows,
e=gz=9.8×30=294 J
The power required can be calculated as follows,
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)
Result: 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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