A grinding wheel is in the form of a uniform solid disk of radius 7.02 cm and mass 1.91 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.608 Nm that the motor exerts on the wheel. (a) How long does the wheel take to reach its final operating speed of 1 210 rev/min? x If you know the change in velocity and the acceleration you can certainly find the time. Can you determine the (angular) acceleration? s (b) Through how many revolutions does it turn while accelerating? x You know the initial and final (angular) speeds and the time. Can you use constant acceleration equations to determine the (angular) distance traveled during this time interval? rev

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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## Problem Description

A grinding wheel is in the form of a uniform solid disk with a radius of 7.02 cm and mass of 1.91 kg. It starts from rest and accelerates uniformly under the action of a constant torque of 0.608 N·m exerted by the motor on the wheel.

### Questions:

**(a)** How long does the wheel take to reach its final operating speed of 1,210 revolutions per minute (rev/min)?

Instructions: 
- Use the change in velocity and the acceleration to determine the time.
- Can you determine the (angular) acceleration? Express your answer in seconds (s).

**(b)** Through how many revolutions does it turn while accelerating?

Instructions:
- Use the initial and final (angular) speeds and the time.
- Apply constant acceleration equations to find the (angular) distance traveled during this time interval. Express your answer in revolutions (rev).

### Additional Resources

For further assistance, click the "Read It" button labeled "Need Help?" at the bottom of the page.

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This educational content focuses on the application of physics concepts such as torque, angular velocity, and rotational motion. It challenges learners to apply these concepts to solve problems involving the motion of a grinding wheel.
Transcribed Image Text:## Problem Description A grinding wheel is in the form of a uniform solid disk with a radius of 7.02 cm and mass of 1.91 kg. It starts from rest and accelerates uniformly under the action of a constant torque of 0.608 N·m exerted by the motor on the wheel. ### Questions: **(a)** How long does the wheel take to reach its final operating speed of 1,210 revolutions per minute (rev/min)? Instructions: - Use the change in velocity and the acceleration to determine the time. - Can you determine the (angular) acceleration? Express your answer in seconds (s). **(b)** Through how many revolutions does it turn while accelerating? Instructions: - Use the initial and final (angular) speeds and the time. - Apply constant acceleration equations to find the (angular) distance traveled during this time interval. Express your answer in revolutions (rev). ### Additional Resources For further assistance, click the "Read It" button labeled "Need Help?" at the bottom of the page. --- This educational content focuses on the application of physics concepts such as torque, angular velocity, and rotational motion. It challenges learners to apply these concepts to solve problems involving the motion of a grinding wheel.
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