Calculate the power of a pump that can lift 200 kg of water through a height of 6 m in 10 seconds. Ans. (1200 watts)


Given:  

Mass of the water to be lifted = m =  200 kg 
Height = h = 6 m
Time taken  = t = 10 sec
gravitational acceleration = g = 10 m s⁻²


To Find:

Power of a Pump = P = ?  Watt

Solution:   

As Power is defined as the rate of doing work. So,

P = `\frac {W}{t}`

P = `\frac {F ｘS}{t}`   (∴ Force = F = weight = W = mg)

P = `\frac {mgh}{t}`
by putting values 

P = `\frac {200 kg ｘ 10 m s⁻² ｘ6 m}{10 s}`

P =  1200 kg m² s⁻³  

or

P = 1200 W 

Thus the power of a Pump is 100 W

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