﻿ A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump? from Physics Work, Energy and Power Class 11 Manipur Board

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A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump?

Given,

Volume of the tank, V = 30 m

Time of operation, t = 15 min

= 15 × 60

= 900 s

Height of the tank, h = 40 m

Efficiency of the pump, η = 30 %

Density of water, ρ = 103 kg/m

Mass of water, m = ρV = 30 × 103 kg

Output power can be obtained as,

P0 =

= 30 × 103 × 9.8 ×

=  13.067 × 103 W

For input power Pi,, efficiency η, is given by the relation,

η ==  30%

Pi =

= 0.436 × 105 W

=  43.6 kW, is the electric power consumed by the pump.
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