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The velocity of water in a river is 18 km/hr near the surface.

Question

The velocity of water in a river is $18 km / h r$ near the surface. If the river is $5 m$ deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water $= 1 0^{- 2}$ poise.

1 0^{- 1} N / m^{2}

1 0^{- 2} N / m^{2}

1 0^{- 3} N / m^{2}

1 0^{- 4} N / m^{2}

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Michael Discussed

The velocity of water in a river is

18 km / h r

near the surface. If the river is

5 m

deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water

= 1 0^{- 2}

poise.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Velocity of a layer of water,

V = \frac{5}{18} 18 = 5 m / s

Also,

η = 1 0^{- 2} p o i se = 1 0^{- 3} \frac{N s}{m ^{2}}

Shear stress,

τ = η \frac{V}{d} = 1 0^{- 3} X 5/5 = 1 0^{- 3} \frac{N}{m ^{2}}

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Question Text	The velocity of water in a river is $18 km / h r$ near the surface. If the river is $5 m$ deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water $= 1 0^{- 2}$ poise.
Answer Type	Text solution:1
Upvotes	150