question archive A potter's wheel having a radius 0

A potter's wheel having a radius 0

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A potter's wheel having a radius 0.46 m and a moment of inertia of 13.9 kgm is rotating freely at 53 rev/min. The potter can stop the wheel in 7.5 s by pressing a wet rag against the rim and exerting a radially inward force of 65 N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.

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Answer:

let the frictional coefficient is uk

R = 0.46 m

I = 13.9 Kg.m^2

angular speed, w = 53 rev/min

w = 5.55 rad/s

t = 7.5 s

F = 65 N

Now, as torque * time = change in angular momentum

force * radius * time = change in angular momentum

uk * 65 * 0.46 * 7.5 = 13.9 * 5.55

solving for uk
uk = 0.344

the coefficient of kinetic friction is 0.344