a pump is required to lift 1000 kg of water in one minute from a well of depth of 10 m and eject it with a speed of 10 m/s. the horsepower of pump is
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We are not given the depth of the well Let it be 'x'.
1000 kg of water is to be lifted per minute.
So, weight of water to be lifted is = 1000x9.8 = 9800 N
Work done in lifting this weight of water from depth 'x' is = 9800x J
Now the 1000 kg that is lifted is ejected with speed 10 m/s.
So, work done in giving it the kinetic energy is = x 1000 x 102 = 500001 So, total work done is = (9800x + 50000)1
This work is done in 1 minute or 60 s.
So, power of engine is = (9800x + 50000)/60 W
Thus, the power in hp is
= (9800x + 50000)/(746x60) hp {(9800x + 50000)/44760} hp
1000 kg of water is to be lifted per minute.
So, weight of water to be lifted is = 1000x9.8 = 9800 N
Work done in lifting this weight of water from depth 'x' is = 9800x J
Now the 1000 kg that is lifted is ejected with speed 10 m/s.
So, work done in giving it the kinetic energy is = x 1000 x 102 = 500001 So, total work done is = (9800x + 50000)1
This work is done in 1 minute or 60 s.
So, power of engine is = (9800x + 50000)/60 W
Thus, the power in hp is
= (9800x + 50000)/(746x60) hp {(9800x + 50000)/44760} hp
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