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  4. Water is pumped from a depth of 10 m and delivered through a pipe of cross section 10-2 m 2 upto a height of 10 m. If it is needed to deliver a volume 0.2 m 3 per second the power required will be :

Q. Water is pumped from a depth of $10\, m$ and delivered through a pipe of cross section $10^{-2}\, m ^{2}$ upto a height of $10\, m$. If it is needed to deliver a volume $0.2\, m ^{3}$ per second the power required will be :

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Solution:

$ P =\frac{W}{t}=\frac{m g h}{t} $
$ t =1 \,s $
$ m =V \rho=0.2 \,m ^{3} \times 1000\, kg / m ^{3} $
$m =200 \,kg $
$ P =\frac{200 \times 9.8 \times(10+10)}{1} $
$ P =200 \times 9.8 \times 20 $
$ P =39200\, W =39.2 \,kW$

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