Question

calculate the power of an electric pump in horse power,which can lift 2000m3 of water from a depth of 20m in 25minutes.​

Answer 1

The power of an electric pump is 357.6 watts.

Explanation:

The density of water is $1000\ kg/m^3$. The pump can lift $2000\ m^3$ of water. Density of of water is given by :

$d=\dfrac{m}{V}\\\\m=d\times V\\\\m=10^3\times 2000\\\\m=2\times 10^6\ kg$

Water is lifted from a depth of 20 meter in 25 minutes. Power is given by work done per unit time. So,

$P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{2\times 10^6\times 10\times 20}{1500}\\\\P=2.67\times 10^5\ W$

The conversion form horsepower to watts is given by :

1 hp = 745.7 watts

$2.67\times 10^5\ W=357.6\ hp$

So, the power of an electric pump is 357.6 watts. Hence, this is the required solution.

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