A carnival ride is designed to allow the general public to experience high accel

Question

A carnival ride is designed to allow the general public to experience high acceleration motion. The ride rotates about Point O in a horizontal circle such that the rider has a speed v0. The rider reclines on a platform A which rides on rollers such that friction is negligible. A mechanical stop prevents the platform from rolling down the incline. The radius of the base of the platform r is 5.5 m.

Determine the speed v0 at which the platform A begins to roll upwards. (Round the final answer to two decimal places.)

The speed at which the platform A begins to roll upwards is ____ m/s.

Explanation / Answer

r = 5.5 + 1.5 cos 70 = 6.01 m

m r w2 * cos 7 0 = m g sin 70

m r * (v0 / r) 2 = m g tan 70

v02 = g r tan 70

v0  = sqrt [ g r tan 70 ] = sqrt [9.81 * 6.01 * tan 70]

v0  = 12.73 m/s

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