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

Explanation

mass of the water to be filled= (volume of the tank) `xx` density of water
`m= 30 xx 10^(3)kg `
h= 40m, t `=15 xx 60 = 99sec`
Efficiency `eta= 30%`
Inputpower `p_(i) = (100)/(eta) xx (mgh)/(t)`
`=(100 xx 30 xx 10^(3) xx 9.8 xx 40)/(30 xx 900)= 43.56KW`