Question

An electric pump on the ground floor of a building takes $10min$ to fill a tank of volume $30m^3$ with water. If the tank is $60m$ above the ground and the efficiency of the pump is $30$ then how much electric power is consumed by the pump in filling the tank? Take $g=10m/s^2$/

• A. $100KW$
• B. $150KW$
• C. $\frac{100}{3}KW$
• D. $50KW$

Answer 1

The correct option is A $100KW$

Power of motor, $P=\frac{1}{\eta }\frac{\rho Vgh}{t}$

Where,

$\rho =density,V=volume,h=heigth,t=timeand\eta =efficiencyofmotor$

$P=\frac{1}{0.3}\frac{1000\times 30\times 10\times 60}{10\times 60}=100kW$

Power is $100kW$