Question

A well20m deep and 3m in diameter contains water to a depth of 14 m.how long will a 5 HP engine take to empty it

Answer 1

Answer:

depends upon the volume of water stored inside th well

Answer 2

ANSWER:

It takes 57.45 mins to empty the well.

EXPLANATION:

As the depth of the whole tank is deep by 20m

The water is filled by 14 m depth

The diameter of the well is given as, d = 3m that means the radius given as r = 1.5m

The mass of the water = Volume of the water x density

The work done in emptying the water is  

$W=\int m g h$

$W=\pi \times 1.5 \times 1.5 \times 1000 \times 10 \times(200-18)$

$W=1285830 \mathrm{QJ}$

The engine power is given as 5 H.P. therefore, the time taken to pump the water is

$\text { Power }=5 H P$

$5 \times 746=3730 J / \mathrm{sec}$

$\text { time }=\frac{12858300}{3730}=3447 \mathrm{sec}=57.45 \mathrm{min}$

Therefore, the time taken is 57.45 min.