A well 20m deep and 3m in diameter contains water to a deep pf 14m how long will a 5hp it should take to entry it
Answers
Answer:
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 hW=∫mgh
W=\pi \times 1.5 \times 1.5 \times 1000 \times 10 \times(200-18)W=π×1.5×1.5×1000×10×(200−18)
W=1285830 \mathrm{QJ}W=1285830QJ
The engine power is given as 5 H.P. therefore, the time taken to pump the water is
\text { Power }=5 H P Power =5HP
5 \times 746=3730 J / \mathrm{sec}5×746=3730J/sec
\text { time }=\frac{12858300}{3730}=3447 \mathrm{sec}=57.45 \mathrm{min} time =373012858300=3447sec=57.45min
Therefore, the time taken is 57.45 min.