A $10 H.P. $ motor pumps out water from a well of depth $20m$ and fills a water tank of volume $22380 $ $litres $ at a height of $ 10m$ from the ground. the running time of the motor to fill the empty water tank is ........... $\mathrm{minutes}$ $(g = 10m{s^{ - 2}}$)
A $10 H.P. $ motor pumps out water from a well of depth $20m$ and fills a water tank of volume $22380 $ $litres $ at a height of $ 10m$ from the ground. the running time of the motor to fill the empty water tank is ........... $\mathrm{minutes}$ $(g = 10m{s^{ - 2}}$)
$5$
$10$
$15$
$20$
A $10 H.P. $ motor pumps out water from a well of depth $20m$ and fills a water tank of volume $22380 $ $litres $ at a height of $ 10m$ from the ground. the running time of the motor to fill the empty water tank is ........... $\mathrm{minutes}$ $(g = 10m{s^{ - 2}}$)
Volume of water to raise $= 22380 l = 22380×10^{-3}m^3$
$P = \frac{{mgh}}{t} = \frac{{V\rho gh}}{t}$ $⇒$ $t = \frac{{V\rho gh}}{P}$
t$ = \frac{{22380 \times {{10}^{ - 3}} \times {{10}^3} \times 10 \times 10}}{{10 \times 746}} = 15$min