Stoke's Law

Stoke's Law

Stoke's Law : This law is very important law in understanding the dynamics of a falling object in a viscous medium. This law was studied by Sir George Stokes

Consider a spherical object of radius 'r' falling with a velocity 'v' in a viscous medium having coefficient of viscosity 'η'

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Stoke's Law

Statement : The viscous force acting on a spherical object  is directly proportional to radius of the sphere

F_v  ∝ r ---(1)

The viscous force acting on a spherical object  is directly proportional to velocity of the sphere

F_v  ∝ v ---(2)

The viscous force acting on a spherical object  is directly proportional to coefficient of viscosity of the medium

F_v  ∝ η---(2)

From (1), (2) and (3)

F_v  ∝ rvη

F_v = 6π rvη--(4)

Expression (4) gives viscous force acting on a spherical body.

│<<< Viscosity││ Terminal velocity>>>│

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 Related Topic :  Mechanical Properties of fluid      Pressure due to liquid column     Absolute and gauge pressure  Hydrostatic Paradox       Pascal's Law        Measurement of pressure         Surface Tension Surface Energy         Angle of contact          Capillary Action            Motion in a fluid                    Critical velocity and Reynold's Number                      Viscosity                 Stokes' Law            Terminal velocity                 Equation of continuity                  Bernoulli Equation          Speed of Efflux    Ventury Tube

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