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Question

A spherical liquid drop of diameter 2 x 10-4 m is falling with a constant velocity through air under gravity.If the density of liquid is 500 kg/m3 and co-efficient of viscosity of air is 2 x 10-5 Ns/m2 , determine the terminal velocity of the drop and viscous force acting on it. Neglect the density of air (g=9.8 m/s2)

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Solution

Dear studentterminal velocity vt is given by vt=2a2(σ-ρ)g9η a= radius of dropσ= drop densityρ=air densityη=viscocity coefficientputing all values from question and neglecting ρ we getvt=0.56m/sso, force=6πηavt=2.1×10-8 NRegards

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