Question

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3) 3750
motor is pumping water with a velocity of 20ms from a pump of area of cross section 1cm
average power is.
1) 8 kw
2) 12 kW
3) 16 kW
4) 4 kW​

Answer 1

Average power of the pump is 4 KW.

Explanation:

Power  = Work done / Time  = Gain in K.E/ Time

Power  = 1/2mv^2/t  

            = 1/2 ( Volume x ρwater ) (v)^2/t

            = 1/2 ( A x l x ρwater ) (v)^2/t

            = 1/2 ( A x  ρwater ) (v)^3

Power  = 1/2 ( 10 x 10^-4 ) (10^3) (20)^3

Power  = 4000 Watt

Power  =  4 KW

Thus average power of the pump is 4 KW.

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