A rider on a Ferris wheel moves in a vertical circle of radius r at constant speed v. Is the normal force that the seat exerts on the rider at the top of the wheel?

Computational

A ball rolls around the edge of a circle with a radius of . If it is rolling at a speed of , what is the centripetal acceleration?

A ball rolls around the edge of a circle with a radius of . If it is rolling at a speed of , what is the centripetal force?

At what minimum speed must a roller coaster be traveling so that the passengers upside down at the top of the circle do not fall out? The radius of curvature of the roller coaster is .

Conceptual

Two children sit on a merry-go-round. One sits from the center, and the other sits from the center. If the children are in a straight line form the center, which child has a greater speed?

A car driving on the highway is moving at 60 miles per hour. As the car nears an exit ramp, the car slows to 35 miles per hour, a speed that is maintained throughout the circular path of the exit ramp. What force is keeping the car on its path (i.e. in circular motion)?

In a rotating carnival ride, people rotate in a vertical cylindrical walled room. During the ride, the floor drops out. If the room radius is , and the rotation frequency is when the floor drops out, what minimum coefficient of static friction keeps the people from slipping down?

A ball attached to a string is moving counterclockwise in a vertical circle. If the string is cut exactly at the point where the ball is at the top of its motion (the top of the circle), what direction will the ball move in initially?

A car rounds a curve of radius banked at an angle of . If the car is traveling at , will friction force be required? If so, in what direction?

A penny is placed 12.0cm from the axis of a rotating turntable of variable speed. When the speed of the turntable is slowly increased, the penny remains fixed on the turntable until a rate of 40 revolutions per minute is reached, at which point the penny slides off. Calculate the coefficient of static friction between the penny and the turntable.