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Stoke's Law

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Derive Stokes' law dimensionally.

Mention two applications of Stokes' law.

A viscous force of 1.018 xx 10^(-7) N acting on a raindrop makes it fall through air with a terminal velocity of 1 ms^(-1) . If the viscosity of air is 0.018 xx 10^(-3) PI, what is the radius of the raindrop? Hint : Stokes' law

The amplitude of a simple pendulum, oscillating in air with a small spherical bob, decreases from 10 cm to 8 cm in 40 s. Assuming that Stokes law is valid, and ratio of the coefficient of viscosity of air to that of carbon dioxide is 1.3, the time in which amplitude of this pendulum will reduce from 10 cm to 5 cm in carbon dioxide will be close to (In 5=1.601, In 2=0.693).