A new park attraction consists of a vertical wheel of radius *R*, spinning at constant angular velocity, with cars for passengers. The passengers feel weightless at the top of the wheel. Assume that the typical mass of a passenger is *m*.

a) What is the magnitude of the force exerted on a passenger by the car at the top of the wheel?

b) What is the speed of the car?

c) What is the magnitude of the force exerted on a passenger by the car at the bottom of the wheel?

d) What is the magnitude of the force exerted on a passenger by the car when they are 90° from the bottom, going up?

Write your results in terms of *R*, *m*, and *g.* Check the units/dimensions for each answer.