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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What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Rotational Velocity & Acceleration concept. You can view video lessons to learn Rotational Velocity & Acceleration. Or if you need more Rotational Velocity & Acceleration practice, you can also practice Rotational Velocity & Acceleration practice problems.
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