A coin is placed 14.5 cm from the axis of a rotating turntable of variable speed

Question

A coin is placed 14.5 cm from the axis of a rotating turntable of variable speed. When the speed of turntable is slowly increased, the coin remains fixed on the turntable until a rate of 31 rpm is reached, at which point the coin slides off. What is the coefficient of static friction between the coin and the turntable? A coin is placed 14.5 cm from the axis of a rotating turntable of variable speed. When the speed of turntable is slowly increased, the coin remains fixed on the turntable until a rate of 31 rpm is reached, at which point the coin slides off. What is the coefficient of static friction between the coin and the turntable?

Explanation / Answer

the angular speed w = 2*31/60 = 0.1047 rad/s

the centifugal force acting on the coin is equals to the frictional force of the coil.
mRw^2 = mg ------------ (1)

RW^2 = g

therefore = RW^2/g

= 10*10^-2(0.0109)/9.8

= 0.00011

the coefficient of static friction between the coin and the turntable is 0.00011.

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