A piston is moving through a cylinder at a speed of 19 ft/s, as shown in Fig. The film of oil separating the piston from the cylinder has a viscosity of 0.020 lb.s/ft 2 . What is the force required to maintain this motion?
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Sol. Assume a cylindrically symmetric, linear velocity profile for the flow of oil in the film.
To find the frictional resistance, compute the shear stress at the piston surface.
τ = µ 
= 0.020 
(12) = 912 lb/ft 2 F f = τ A = 912 
= 298 lb.
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