Question

A pump delivers water at the rate of $2400litres$ in $6minutes$ over a head of $12m$. If $g=10m/s^2$, then its power is:

• A. $200W$
• B. $800W$
• C. $240W$
• D. $24kW$

Answer 1

Answer: (B)

$800W$

Given,

Volume of water delivers $V=2400lit$

Mass of water deliver $V\times d_w=2400\times 1=2.4\times {10}^{3}kg$

Time consumed $t=6mint=6\times 60sec$

Power of a pump is given by,
$P=\frac{mgh}{t}=\frac{2.4\times {10}^3\times 10\times 12}{6\times 60}$$=800W$