A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r= 12 m, and the friction between the wall and their clothes is μ = 0.62. Consider the tangential speed v of the ride's occupants as the cylinder spins. a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall? Vmin = b) What is the frequency fin revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall? f=

A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r= 12 m, and the friction between the wall and their clothes is μ = 0.62. Consider the tangential speed v of the ride's occupants as the cylinder spins. a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall? Vmin = b) What is the frequency fin revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall? f=

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 1STP

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A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 11 m, and the friction between the wall and their clothes is μs = 0.55. Consider the tangential speed v of the ride's occupants as the cylinder spins. a. What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?
A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 15 m, and the friction between the wall and their clothes is μs = 0.54. Consider the tangential speed v of the ride's occupants as the cylinder spins. 1.) what is the minimum speed in m/s that the cylinder must make a person move at to ensure they will stick to the wall? 2.) what is the frequency in revolutions per minute of the carnival ride when it has reached the minimum speed to stick someone to the wall?