First slide

Fluid dynamics

Question

A pump is delivering water through a pipe of cross sectional area $10 {cm}^{2}$ . If water flows through the pipe with a velocity 4m/s, power output of the pump is

Easy

A

46 W
B

32 W
C

64 W
D

84 W

Solution

m= Rate of mass flow= $ρ$ AV
$∴$ Power output of the pump is $\begin{array}{l} = \frac{1}{2} {mv}^{2} = \frac{1}{2} ρ {AV}^{3} = \frac{1}{2} \times 10^{3} \times 10 \times 10^{- 4} \times W \\ = 32 Watt . \end{array}$

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