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Amit Saxena Grade: upto college level
        Estimate the speed of vertically falling raindrops from the following data. Radius of the drops = 0.02 cm, viscosity of air = 1.8 × 10-4 poise, g = 9.9 × 10 m s-2 and density of water = 1000 kg m-3. 
3 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
										Sol. To find the terminal velocity of rain drops, the forces acting on the drop are,
i) The weight (4/3)π r3 pg downward.
ii) Force of buoyancy (4/3)π r3 σg upward.
iii) Force of viscosity 6 π η r v upward.
Because, σ of air is very small, the force of buoyancy may be neglected. Thus, 

6 π η r v = (4/3) πr2 pg or v = 2r2 pg/9η

3 years ago
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