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a water pump takes 20 minutes to pump water to fill a tank of volume 40 metre if the efficiency of pump is 40% and the tank is at the height 15 how electric power is needed for a pump |
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Answer» Explanation: Here, Volume of water =30 m 3
t=15 min=15×60 s=900 s;HEIGHT,h=40 m Efficiency, η=30% Density of water =10 3 kg m −3
∴ Mass of water pumped =Volume×Density =(30 m 3 )(10 3 kg m −3 )=3×10 kg P output
= t W
= t mgh
= 900 s (3×10 4 kg)(10 MS −2 )(40 m)
= 3 4
×10 4 W Efficiency, η= P
P output
P input
= η P output
= 3× 100 30
4×10 4
= 9 4
×10 5
=44.4×10 3 W=44.4 kW. |
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