Question

250kg of water per minute is to be drawn from a well 150m deep. An electric pump of....................
can be used. (g = 10m/s)
sagt
(1)
6 horse power
(2) 7 horse power
(3)
8 horse power
(4)
9 horse power.​

Answer 1

(4)  9 horse power.​

Explanation:

Given:

• mass of water to be drawn per minute, $m=250\ kg$

• depth of well, $d=150\ m$

∴Load required:

$F=m.g$

$F=250\times 10$

$F=2500\ N$

Now, work done to lift this load:

$w=F.d$

$w=2500\times 150$

$w=375000\ J$

Since this work has to be done in one minute:

∴Power

$P=\frac{w}{60}$

$P=\frac{375000}{60}$

$P=6250\ W$

$P=\frac{6250}{746}$

$P=8.378\ Hp$

∴We choose a pump of just next higher power because the work rate won't be achieved by a lower power pump. (4)  9 horse power.​

TOPIC: mass flow, work, power & energy

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