First slide

Fluid dynamics

Question

Water is moving with a speed of 5.18 ms^-1 through a pipe with a cross-sectional area of 4.20 cm². The water gradually descends 9.66 m as the pipe increase in area to 7.60 cm². The speed of flow at the lower level is

Moderate

A

3.0 ms^–1
B

5.7 ms^–1
C

3.82 ms^–1
D

2.86 ms^–1

Solution

$\begin{array}{l} a_{1} v_{1} = a_{2} v_{2} \\ \Rightarrow 4 .20 \times 5 .18 = 7 .60 \times v_{2} \Rightarrow v_{2} = 2 .86 m / s \end{array}$

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