First slide

Fluid dynamics

Question

The cylindrical tube of a spray pump has a cross-section of 8cm² , one end of which has 40 fine holes each of area $10^{- 8}$ m² . If the liquid flows inside the tube with a speed of 0.15 m-rnin^-1 , the speed with which the liquid is ejected through the holes is :

Easy

A

50 ms^-1
B

5 ms^-1
C

0.05 ms^-1
D

0.5 ms^-1

Solution

$A_{1} v_{1} = A_{2} v_{2} \Rightarrow (40 \times 10^{- 8}) v = (8 \times 10^{- 4}) \times (\frac{0.15}{60}) \Rightarrow v = 5 {ms}^{- 1}$

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