A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 15 m, and the friction between the wall and their clothes is μs = 0.54. Consider the tangential speed v of the ride's occupants as the cylinder spins. 1.) what is the minimum speed in m/s that the cylinder must make a person move at to ensure they will stick to the wall? 2.) what is the frequency in revolutions per minute of the carnival ride when it has reached the minimum speed to stick someone to the wall?

A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 15 m, and the friction between the wall and their clothes is μs = 0.54. Consider the tangential speed v of the ride's occupants as the cylinder spins. 1.) what is the minimum speed in m/s that the cylinder must make a person move at to ensure they will stick to the wall? 2.) what is the frequency in revolutions per minute of the carnival ride when it has reached the minimum speed to stick someone to the wall?