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Question

The velocity of water in a river is 18 km h-1 near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water = 10-2 poise.


A

0.2 N

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B

0.02 N

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C

0.002 N

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D

2N

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Solution

The correct option is B

0.02 N


The velocity gradient in vertical direction is
dvdz=18kmh15m=1.0s1
The magnitude of the force of viscosity is
F=ηAdvdz
The shearing stress is
FA=ηAdvdz=(102poise)(1.0s1)=103Nm2

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