A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static

Question

A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface ofs = 0.70 and k = 0.50. The turntable very slowly speeds up.

Part A

What is the frequency of the rotation of the turntable expressed in revolutions per minute when the coin slides off?

A 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface ofs = 0.70 and k = 0.50. The turntable very slowly speeds up.

Part A

What is the frequency of the rotation of the turntable expressed in revolutions per minute when the coin slides off?

Explanation / Answer

Coin slides off when friction force on the coin is greater than the centripetal force.

Ff = Fc

mw^2r = us*mg

w = sqrt(us*g/r) = sqrt(0.70*9.8/0.15) = 0.76 rad/s = [0.76rad*(1rev/2rad)]/(1s*1min/60s) = 7.26 rpm

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