**Understanding Torque and Motion: Problem-Solving Exercise**A torque of 36.8 N · m is applied to an initially motionless wheel, which rotates around a fixed axis. This torque results from a directed force combined with friction. Consequently, the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.90 s, the directed force is removed, and the wheel comes to rest 59.4 s later.**Questions:**(a) What is the wheel's moment of inertia (in kg · m²)?- Answer: ______ kg · m²(b) What is the magnitude of the torque caused by friction (in N · m)?- Answer: ______ N · m(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?- Answer: ______ revolutions**Instructions:**1. Use the given torque and angular speed to calculate the wheel’s moment of inertia.2. Determine the frictional torque opposing motion when the directed force is no longer applied.3. Calculate the total number of revolutions by integrating angular motion over time. **Note:** This activity will enhance your understanding of rotational dynamics, friction, and the concept of inertia.

Write the provided values with suitable variables.

A torque of 36.8N.m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later. (a) What is the wheel's moment inertia (in kg - m?)? kg - m2 (b) What is the magnitude of the torque caused by friction (in N. m)? N.m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? revolutions

A torque of 36.8N.m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later. (a) What is the wheel's moment inertia (in kg - m?)? kg - m2 (b) What is the magnitude of the torque caused by friction (in N. m)? N.m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? revolutions

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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Question

**Understanding Torque and Motion: Problem-Solving Exercise**

A torque of 36.8 N · m is applied to an initially motionless wheel, which rotates around a fixed axis. This torque results from a directed force combined with friction. Consequently, the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.90 s, the directed force is removed, and the wheel comes to rest 59.4 s later.

**Questions:**

(a) What is the wheel's moment of inertia (in kg · m²)?

- Answer: ______ kg · m²

(b) What is the magnitude of the torque caused by friction (in N · m)?

- Answer: ______ N · m

(c) From the time the directed force is initially applied, how many revolutions does the wheel go through?

- Answer: ______ revolutions

**Instructions:**

1. Use the given torque and angular speed to calculate the wheel’s moment of inertia.
2. Determine the frictional torque opposing motion when the directed force is no longer applied.
3. Calculate the total number of revolutions by integrating angular motion over time.

**Note:** This activity will enhance your understanding of rotational dynamics, friction, and the concept of inertia.

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