A string is wound tightly around a wheel. When the end of the string is pulled through a distance of 10 cm, the wheel rotates through 5 revolutions. What is the radius of the wheel? www.

College Physics
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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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**Physics Problem Set on Circular Motion**

1. **Problem 1: Calculating the Radius of the Wheel**
   - A string is wound tightly around a wheel. When the end of the string is pulled through a distance of 10 cm, the wheel rotates through 5 revolutions. What is the radius of the wheel?

2. **Problem 2: Analyzing Another Wheel**
   - A different string is wound tightly around a different wheel.
   
   a) When the string is pulled a distance of 40 cm in 2.50 s, the wheel turns through 5 revolutions. What is the average speed of the string, and what is the average angular velocity of the wheel? What is the radius of the wheel?

   b) The string is pulled so that it accelerates at 3 m/s². What is the angular acceleration of the wheel?

**Note:** These problems are designed to help students understand the relationship between linear motion and rotational motion, specifically focusing on the concepts of revolution, speed, angular velocity, and angular acceleration.
Transcribed Image Text:**Physics Problem Set on Circular Motion** 1. **Problem 1: Calculating the Radius of the Wheel** - A string is wound tightly around a wheel. When the end of the string is pulled through a distance of 10 cm, the wheel rotates through 5 revolutions. What is the radius of the wheel? 2. **Problem 2: Analyzing Another Wheel** - A different string is wound tightly around a different wheel. a) When the string is pulled a distance of 40 cm in 2.50 s, the wheel turns through 5 revolutions. What is the average speed of the string, and what is the average angular velocity of the wheel? What is the radius of the wheel? b) The string is pulled so that it accelerates at 3 m/s². What is the angular acceleration of the wheel? **Note:** These problems are designed to help students understand the relationship between linear motion and rotational motion, specifically focusing on the concepts of revolution, speed, angular velocity, and angular acceleration.
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