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An electric pump on the ground floor of ...

An electric pump on the ground floor of a building taken 15 minutes to fill a tank of volume `30ms^(3)` with water. If the tank is 40m above the ground and the efficiency of pump is 30% find the electira power consumed by the pump in filling the tank. [density of water = `10^(3) kg//m^(3)`

Text Solution

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Mass of the water to be filled = (volume of the tank) `xx` density of water
`m=30xx10^(3)kg`
`h=40 m, t=15xx60=900` sec.
Efficiency `eta = 30%`
Inputpower `P_(i)=(100)/(eta)xx(mgh)/(t)`
`= (100xx30xx10^(3)xx9.8xx40)/(30xx900)=43.56 KW`
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