A pump is used to lift 500kg of water from a depth of 80m in 10s. Calculate:
(i)the power rating of the pump it its efficiency is 40%. (Take g=10ms².)
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Answered by
255
The power rating of the pump will be 100 KW
Explanation :
Given,
mass of water = 500 kg
depth = 80 m
g = 10 m/s²
t = 10 sec
Hence work done in lifting water = weight x distance
=> W = mgh
=> W = 500 x 10 x 80 = 400000
Power = work/time
=> P = w/t = 400000/10 = 40000 watt = 40 KW
Since efficiency of the pump = 40% = 0.4
=> power output/power input = 0.4
=> 40/Power input = 0.4
=> Power input = 40/0.4 = 100 KW
Hence the power rating of the pump will be 100 KW
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