Question

6. The speed of water is 2m/s through a
pipe of internal diameter 10 cm. What
should be the internal diameter of nozzle
of the pipe if the speed of water at nozzle
is 4 m/s?​

Answer 1

Answer:

Data: d1​=10cm=0.1m,v1​=2m/s,v2​=4m/s

By the equation of continuity, the ratio of the speed is

v2​v1​​=A1​A2​​=(d1​d2​​)2

∴ d1​d2​​=v2​v1​​

​=42​

​=2

​1​=0.707

∴d2​=0.707d1​=0.707(0.1m)=0.0707m