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A certain amusement park ride consists of a large rotating cylinder of radius R = 3.15 m. As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be great enough to hold the riders in place as the floor drops out from under them. If the cylinder makes f = 0.510 rotations/s, what is the magnitude of the normal force FN between a rider and the wall, expressed in terms of the rider's weight W? FN = 3.23 W Incorrect

A certain amusement park ride consists of a large rotating cylinder of radius R = 3.15 m. As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be great enough to hold the riders in place as the floor drops out from under them. If the cylinder makes f = 0.510 rotations/s, what is the magnitude of the normal force FN between a rider and the wall, expressed in terms of the rider's weight W? FN = 3.23 W Incorrect

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Rotating Cylinder Ride Physics #### Description of the Ride A certain amusement park ride consists of a large rotating cylinder with a radius \( R = 3.15 \, \text{m} \). As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be significant enough to hold the riders in place as the floor drops out from under them. #### Problem Statement If the cylinder makes \( f = 0.510 \, \text{rotations/s} \), calculate the magnitude of the normal force \( F_N \) between a rider and the wall, expressed in terms of the rider's weight \( W \). **Answer textbox:** \[ F_N = \, \text{[Input: 3.23]} \, W \] - **Feedback on the answer:** Incorrect #### Additional Question What is the minimum coefficient of static friction \( \mu_s \) required between the rider and the wall in order for the rider to be held in place without sliding down? #### Diagram Description The diagram shows a vertical cylindrical ride with a person standing against the inside wall of the cylinder. The radius \( R \) is indicated by a horizontal line from the center of the cylinder to the wall. An arrow shows the direction of the cylinder's rotation, indicating a spinning motion. This illustration helps visualize the forces at play, showing how the rider is pressed against the cylinder wall due to the rotational motion.
Transcribed Image Text:### Rotating Cylinder Ride Physics #### Description of the Ride A certain amusement park ride consists of a large rotating cylinder with a radius \( R = 3.15 \, \text{m} \). As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be significant enough to hold the riders in place as the floor drops out from under them. #### Problem Statement If the cylinder makes \( f = 0.510 \, \text{rotations/s} \), calculate the magnitude of the normal force \( F_N \) between a rider and the wall, expressed in terms of the rider's weight \( W \). **Answer textbox:** \[ F_N = \, \text{[Input: 3.23]} \, W \] - **Feedback on the answer:** Incorrect #### Additional Question What is the minimum coefficient of static friction \( \mu_s \) required between the rider and the wall in order for the rider to be held in place without sliding down? #### Diagram Description The diagram shows a vertical cylindrical ride with a person standing against the inside wall of the cylinder. The radius \( R \) is indicated by a horizontal line from the center of the cylinder to the wall. An arrow shows the direction of the cylinder's rotation, indicating a spinning motion. This illustration helps visualize the forces at play, showing how the rider is pressed against the cylinder wall due to the rotational motion.
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