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The velocity of water in a river is 72 ...

The velocity of water in a river is `72 km h^(-1)` near the surface. If the river is 4 m deep, find the shearing stress between horizontal layers of water. Coefficient of viscosity of water = 0.01 poise.

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The velocity of water layer in contact with the bottom of river is zero. Here,
`d upsilon = 72 kmh^(-2) = 72 xx 5/18 = 20 ms^(-1)` ,
`dx = 4 m, eta = 0.01 poise = (0.01)/(10)` deca poise
Force of viscostiy, `F= eta A (d upsilon)/(dx)`
Shearing stress, `=F/A= eta (d upsilon)/(dx) = (0.01)/(10) xx 20/4 = 5 xx 10^(-3) Nm^(-2)`
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