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ICSE Class 10 Answered

Calculate the time for which a motor pump of 10 hp and efficiency 80%is switched on so as to pump 20 cm^3 of water through a vertical height of 20 m
Asked by Samrat | 29 Jun, 2018, 10:42: PM
answered-by-expert Expert Answer
Power delivered by pump should be utilized to raise the potential energy of 20 cm3 water.
 
power delivered by pump in t seconds = 10×746×0.8×t =5968×t  Joules...................(1)
 
potential energy of water = volume×density×g×h = 20×10-6×1000×9.8×20 = 3.920 Joules..............(2)
 
we get the time by equating eqns. (1) and (2), 5968×t = 3.920 
 
hence t = 0.657 milli seconds.
Answered by Thiyagarajan K | 30 Jun, 2018, 05:20: AM

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