First slide

Fluid dynamics

Question

Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is

Easy

A

3 m/s
B

6 m/s
C

12 m/s
D

8 m/s

Solution

$\begin{array}{l} a_{1} v_{1} = a_{2} v_{2} \Rightarrow \frac{v_{2}}{v_{1}} = \frac{a_{1}}{a_{2}} = {(\frac{r_{1}}{r_{2}})}^{2} \\ \Rightarrow v_{2} = 3 \times (2)^{2} = 12 m / s \end{array}$

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