Question

An engine of 4.9 kW power is used to pump water from a well 20m deep . What quantity of water in kiloliter which it can pump out in 30 minutes

Answer 1

The quantity of water is 45 kiloliter.

Explanation:

Given that,

Power = 4.9 kW

Height = 20 m

Time =30 mint

We need to calculate the work done

Using formula of power

$P=\dfrac{w}{t}$

$W = P\times t$

$mgh=P\times t$

Put the value into the formula

$m\times9.8\times20 =4.9\times10^{3}\times 30\times60$

$m=\dfrac{4.9\times10^{3}\times 30\times60}{9.8\times20}$

$m=45000\ kg$

We need to calculate the volume

Using formula of density

$\rho=\dfrac{m}{V}$

$V=\dfrac{m}{\rho}$

$V=\dfrac{45000}{1000}$

$V=45\ m^3$

1 m³ = 1 k lit= 1000 lit

$V = 45\ kiloliter$

Hence, The quantity of water is 45 kiloliter.

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Topic : power

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