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8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside of the hoop for 10 sec. m What is the angular acceleration? b. What is its angular speed after 10 sec? c. How much KE does the disk have after 10 sec.

8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside of the hoop for 10 sec. m What is the angular acceleration? b. What is its angular speed after 10 sec? c. How much KE does the disk have after 10 sec.

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
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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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**Problem 8:** A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N·m is applied to the outside of the hoop for 10 seconds. **Diagram Explanation:** The image shows a side view of a disk labeled with: - \(O\): Representing the center axis of rotation. - \(R\): The radius of the disk, which is 2 m. - \(C\): The center of the disk, indicating the location of the mass \(m\). ### Questions: **a.** What is the angular acceleration? **b.** What is its angular speed after 10 seconds? **c.** How much kinetic energy (KE) does the disk have after 10 seconds? **d.** How much work did the external torque do on the disk? **e.** What is the linear velocity of a point on the outside of the disk after 10 seconds?
Transcribed Image Text:**Problem 8:** A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N·m is applied to the outside of the hoop for 10 seconds. **Diagram Explanation:** The image shows a side view of a disk labeled with: - \(O\): Representing the center axis of rotation. - \(R\): The radius of the disk, which is 2 m. - \(C\): The center of the disk, indicating the location of the mass \(m\). ### Questions: **a.** What is the angular acceleration? **b.** What is its angular speed after 10 seconds? **c.** How much kinetic energy (KE) does the disk have after 10 seconds? **d.** How much work did the external torque do on the disk? **e.** What is the linear velocity of a point on the outside of the disk after 10 seconds?
Expert Solution
Step 1

Given:

The mass of the disk is 3 kg.

The radius of the disk is 2 m.

The torque is 10 N-m.

The time duration is 10 s.

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