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A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 18.6 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg. m² and the moment of inertia for the student plus stool is 3.50 kg. m². HINT Lwheel Lwheel (a) Find the student's final angular speed (in rad/s) after he turns the wheel over so that it spins at the same speed but with its angular momentum directed down. rad/s (b) Will the student's final angular momentum be directed up or down? O up O down

A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 18.6 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg. m² and the moment of inertia for the student plus stool is 3.50 kg. m². HINT Lwheel Lwheel (a) Find the student's final angular speed (in rad/s) after he turns the wheel over so that it spins at the same speed but with its angular momentum directed down. rad/s (b) Will the student's final angular momentum be directed up or down? O up O down

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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A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 18.6 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg · m² and the moment of inertia for the student plus stool is 3.50 kg · m². **Diagram Explanation:** - **Figure (a)**: The student holds the wheel with its angular momentum \( L_{\text{wheel}} \) directed upwards. - **Figure (b)**: The same student has turned the wheel over, so its angular momentum \( L_{\text{wheel}} \) is directed downwards. These figures illustrate the change in the direction of the wheel’s angular momentum and the expected resulting change in the student’s angular speed and momentum direction due to conservation of angular momentum. **Questions:** (a) Find the student's final angular speed (in rad/s) after he turns the wheel over so that it spins at the same speed but with its angular momentum directed down. \[ \text{Answer:} \ \underline{\hspace{2cm}} \ \text{rad/s} \] (b) Will the student's final angular momentum be directed up or down? - [ ] up - [ ] down
Transcribed Image Text:A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 18.6 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg · m² and the moment of inertia for the student plus stool is 3.50 kg · m². **Diagram Explanation:** - **Figure (a)**: The student holds the wheel with its angular momentum \( L_{\text{wheel}} \) directed upwards. - **Figure (b)**: The same student has turned the wheel over, so its angular momentum \( L_{\text{wheel}} \) is directed downwards. These figures illustrate the change in the direction of the wheel’s angular momentum and the expected resulting change in the student’s angular speed and momentum direction due to conservation of angular momentum. **Questions:** (a) Find the student's final angular speed (in rad/s) after he turns the wheel over so that it spins at the same speed but with its angular momentum directed down. \[ \text{Answer:} \ \underline{\hspace{2cm}} \ \text{rad/s} \] (b) Will the student's final angular momentum be directed up or down? - [ ] up - [ ] down
Expert Solution
Step 1

Given Data:

The angular speed of the wheel ω1=18.6 rads

Moment of inertia of wheel I1=0.13 kg.m2

Moment of inertia of student plus stool I2=3.5 kg.m2

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