The Velocity Of Water In A River Is 18 Km/hr At The Surface. If The River Is 5 M Deep, Find The Shearing Stress Between The Horizontal Layers Of Water. The Viscosity Of Water Is 10–3 poiseuille.  

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Question

The velocity of water in a river is 18 km/hr at the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The viscosity of water is 10–3 poiseuille.  

Solution

Correct option is

 

As velocity at the bottom of the river will be zero, velocity gradient  

          

Now as the viscous force  is tangential to the area, 

Shear stress,  

         

                  .

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