Gravitron (common carnival ride, spinning cylinder that you stand against the wall and as it spins the floor drops away but you stay stuck on the wall). a. The max rotational speed of the ride is 24 rpm. What is this in rad/s? (hint: 1 rotation = 2*pi radians) b. If the ride has a radius of 2 meters (this is how far you would be from the center of the ride) – what is your linear velocity at the max speed? (hint: use the rad/s speed you found in Part A) c. What is your centripetal acceleration at this speed? How does that compare to the acceleration due to gravity?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...
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Gravitron (common carnival ride, spinning cylinder that you stand against the wall and as it spins the floor drops away but you stay stuck on the wall).
a. The max rotational speed of the ride is 24 rpm. What is this in rad/s? (hint: 1 rotation = 2*pi radians)
b. If the ride has a radius of 2 meters (this is how far you would be from the center of the ride) – what is your linear velocity at the max speed? (hint: use the rad/s speed you found in Part A)
c. What is your centripetal acceleration at this speed? How does that compare to the acceleration due to gravity?

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