A piston of weight 21 lb slides in a lubricated pipe, as shown in Fig. The clearance between piston and pipe is 0.001 in. If the piston decelerates at 2.1 ft/s 2 when the speed is 21 ft/s, what is the viscosity of the oil?
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. τ = μ (dv/dy) = μ [v/ (0.001/12)] = 12000 μ v
F f = τ A = 12000 μ v [( π ) 
] = 7854 μ v
Σ F = ma 21 – (7854) ( μ ) (21) = (21/32.2) (–2.1)
μ = 1.36 × 10 –4 lb.s/ft 2 .
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