The picture at right shows a spinning turntable ride at Coney island in 1928 (fr

Question

The picture at right shows a spinning turntable ride at Coney island in 1928 (from gettyimages.com). People sat in the middle of the turntable and then the rotational speed of the turntable was gradually increased until everyone slid off. Assume that the coefficient of static friction between the polished surface of the turntable and clothes was 0.15 while the coefficient of kinetic friction is 0.12. lf a woman with a mass of 52.8 kg is sitting 1.04 m from the center of the table, calculate the angular velocity (in rad/s) at which she just slid off the table.

Explanation / Answer

radial force = frictional force

mrw^2 = muek*n

n= mg

mrw^2 = muek*mg

w^2 = 0.12*9.8/1.04

w = 1.06 rad/s

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