One of the amusements at many carnivals is arotating cylinder. The customers ste

Question

One of the amusements at many carnivals is arotating cylinder. The customers step inside and stand with theirbacks to the wall. The cylinder spins very rapidly, and at someangular velocity the floor is pulled away. The thrill-seekers nowhang like flies on the wall. If the radius of the cylinder is 6.3m, and the coefficient of static friction between the people andthe wall is 0.68, what is the minimum angular velocity, w, at which the floor can be withdrawn?

One of the amusements at many carnivals is arotating cylinder. The customers step inside and stand with theirbacks to the wall. The cylinder spins very rapidly, and at someangular velocity the floor is pulled away. The thrill-seekers nowhang like flies on the wall. If the radius of the cylinder is 6.3m, and the coefficient of static friction between the people andthe wall is 0.68, what is the minimum angular velocity, w, at which the floor can be withdrawn?

Explanation / Answer

radius r = 6.3 m coefficent of static friction = 0.68 we know centripetal force = frictional force                          mr w^2 = mg from this angular speed w = [ g / r]                                        = [ 0.68 * 9.8 / 6.3]                                        = 1.05777 rad / s

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