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BodhiAI
Nov. 4, 2019

Stokes Law and Terminal Velocity:

Stoke’s Law and Terminal Velocity

If a spherical body of radius r is dropped in a viscous fluid, it is first accelerated and then it’s acceleration becomes zero and it attains a constant velocity called terminal velocity.

 

(i) Weight of the body (W) = mg

= (volume density) × g = 4/3 πr3 ρδ

(ii) Upward thrust (T) = weight of the fluid displaced

= (volume × density) of the fluid × g = 4/3 Πr3 σδ

(iii) Viscous force (F) = 6 Πŋrv

When the body attains terminal velocity the net force acting on the body is zero. W – T – F = 0 or F = W – T