The velocity of water in river is 5 m/s at the surface. The river is 5 m deep. What is viscous forces per unit area between horizontal layer of water? The viscosity of water is 10-3 poiseuille.​

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Answers 2

Answer:

option d because the velocity of water is at 10 power 3 and river is in 5m deep

Given:

  • the velocity of water in the river is 5m/s at the surface
  • The viscosity of water is 10^-3
  • The river is 5m deep

To find: what is viscous forces per unit area between a horizontal layer of water?

Explanation:

as we know that,

velocity at the bottom of the river will be zero,

Velocity gradient,

                           =  dv/dy

                           = 18×[tex]10^{3} [/tex]/60×60×5

                           = 1[tex]s^{-1} [/tex]

Now,

The viscous force,

                         F = ηA[tex]\frac{dv}{dY} [/tex]  is tangential to the area

by using the formula of Shear stress,

                          = F/A

                          = η[tex]\frac{dv}{dY} [/tex]

                          = [tex]10^{-3} [/tex]×1

                          = [tex]10^{-3} [/tex] [tex]\frac{N}{m^{2} } [/tex]

Hence the viscous force is [tex]10^{-3} [/tex] [tex]\frac{N}{m^{2} } [/tex]

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