A cylindrical shaft of radius R rotating with angular speed is supported on a horizontal surface such that there exists a thin film of viscous fluid of thickness h. Coefficient of viscosity of liquid is . The power supplied to the shaft must be proportional to the nth power of angular speed of the shaft. Then n is
External toque = viscous torque in equilibrium
Viscous farce X radius due to an elemental ring viscous torque.
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When a tangential force of 0.02 N is applied on a large wooden plate of area 10 m2 floating on the surface of river, plate moves with the speed 2 m/s on the river surface. The river is 1 m deep and the water in contact with the bed is stationary. Assuming constant speed gradient, coefficient of viscosity of water is
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