Question: Small spherical particles experience a viscous drag force given by Stokes' law: F d = 6rv, where r is the radius of the particle, v

Small spherical particles experience a viscous drag force given by Stokes' law: F_d = 6πηrv, where r is the radius of the particle, v is its speed, and η is the viscosity of the fluid medium.

(a) Estimate the terminal speed of a spherical pollution particle of radius 10⁻⁵ m and density of 2000 kg/m³.

(b) Assuming that the air is still and that η is 1.8 × 10⁻⁵ N·s/m², estimate the time it takes for such a particle to fall from a height of 100 m.

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