Terminal Velocity
Introduction : When any spherical object fall from a height it's velocity goes on increasing till a certain point after which the velocity becomes constant and thus there is no further increase in velocity. The body keeps falling with the same velocity further . This velocity is refer to as terminal velocity. Let us understand the concept in detail.
Force on an falling object in viscous medium |
Consider a spherical object of mass 'm' , radius 'r' and density 'ρ' is falling in a viscous medium of density 'σ' and having coefficient of viscosity 'η' . The total force acting on the sphere is upthrust (Fu=4/3 πr3σg) and Viscous force (Fv=6πηrv) which is acting in upward direction and Weight (mg) acting in downward direction. As the downward force is greater the body falls and it's velocity goes on increasing due to which the viscous force increases. At a certain height the upward force become equal to downward force and the velocity at this point now become constant and no change is observed during further fall. The velocity at this point is called as Terminal velocity.
At this point the mathematical expression is given by,
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