Problem: 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.

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Problem Details

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.

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