### Occupants from sliding down the wall during the ride

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##### Reference no: EM13544798

The Gravitron is an amusement park ride in which riders stand against the inner wall of a large spinning steel cylinder. At some point, the floor of the Graviton drops out, instilling the fear in riders that they will fall a great height. However, the spinning motion of the Gravitron allows them to remain safely inside the ride. Most Gravitrons feature vertical walls, but the example shown in the figure has tapered walls of o. According to knowledgeable sources, the coefficient of static friction between typical human clothing and steel ranges between to . In the figure, the center of mass of a 55 kg rider resides 3.0 m from the axis of rotation. As a safety expert inspecting the safety of rides at a county fair, you want to reduce the chances of injury. What minimum rotational speed (expressed in rev/s) is needed to keep the occupants from sliding down the wall during the ride?

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