An air bubble of negligible weight having radius rises steadily through a solution of density at speed . The coefficient of viscosity of the solution is given by:
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We know that for air bubble in liquid
If a ball of steel (density ) attains a terminal velocity of when falling in a tank of water (coefficient of viscosity ) then its terminal velocity in glycerine would be nearly
A solid ball of volume experiences a viscous force when falling with a speed in a liquid. If another ball of volume with the same velocity is allowed to fall in the same liquid, it experiences a force
From stoke's law, , and
volume
What is the velocity of a metallic ball of radius falling in a tank of liquid at the instant when its acceleration is onehalf that of a freely falling body? (The densities of metal and of liquid are and respectively, and the viscosity of the liquid is ).
A spherical ball of iron of radius is falling through a column of glycerine. If densities of glycerine and iron are respectively and for glycerine , then the terminal velocity is
Terminal velocity,
A small spherical ball falling through a viscous medium of negligible density has terminal velocity . Another ball of the same mass but of radius twice that of the earlier falling through the same viscous medium will have terminal velocity
If is the density of the ball and that of the another ball, for the balls are the same, but
(by Stoke's law)
or, So,
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