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Work, Energy And Power

Question
CBSEENPH11017247

Find the horse power used in pumping 250kg of water per minute from a well 30m deep. If the efficiency of pump is 60%, then also find the horse power of pump.

Solution

Given,
Mass of water pumped per minute, m= 250 kg,
Depth of the well, d = 30m
Time taken to pump the water, t = 60 s
The horse-power used for pumping out the water is, 
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 equals 1225 straight J space

equals space 1.642 HP 
Efficiency of pump = 60%
Therefore, horse power of pump is, 
    straight P subscript 0 equals 1.642 cross times 100 over 60 equals 2.737 space HP