Consider the carnival ride in which the riders stand against the wall inside a large cylinder....

 

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Consider the carnival ride in which the riders stand against the wall inside a large cylinder. As the cylinder rotates, the floor of the cylinder drops and the passengers are pressed against the wall by the centrifugal force. Assuming that the coefficient of friction between a rider and the cylinder wall is 0.5 and that the radius of the cylinder is 5 m, what is the minimum angular velocity and the corresponding linear velocity of the cylinder that will hold the rider firmly against the wall? Consider the carnival ride in which the riders stand against the wall inside a large cylinder. As the cylinder rotates, the floor of the cylinder drops and the passengers are pressed against the wall by the centrifugal force. Assuming that the coefficient of friction between a rider and the cylinder wall is 0.5 and that the radius of the cylinder is 5 m, what is the minimum angular velocity and the corresponding linear velocity of the cylinder that will hold the rider firmly against the wall?