The Gravitron is a theme park ride consisting of a circular chamber that rotates about a central, vertical axis. The passengers lie back on pads that line the interior of the chamber. These are all inclined at 62° to the horizontal. Each pad is mounted on a small track on the Gravitron wall. As the Gravitron rotates faster and faster, a speed is reached where each pad rises up its track so that the passengers lose contact with the floor of the chamber. The diagram is a free-body force diagram of a passenger as the pad rises up the track. R is the normal reaction force acting on the passenger and mg is the weight of the passenger. You can assume that no other forces act on the passenger. Find the tangential velocity (m/s) of the passenger if the radius of Gravitron is 5.9 m.

 

- wall 28 -track pad mg 62 floor