Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 4.1, Problem 1fT

In the space at right sketch the position vectors for point C at the beginning and at the end of a small time interval t.

1. Label the change in angle ( Δ θ ) and the distance between the center of the wheel and point C ( r c ) . Sketch the path taken by point C during this time interval.

What is the distance that point C travels during Δ t ?Express your answer in terms of r c and Δ θ .

Chapter 4.1, Problem 1fT, In the space at right sketch the position vectors for point C at the beginning and at the end of a

2. Use our answer above and the definition of linear speed u., derive an algebraic expression for the linear speed of point C in terms of the angular speed ω of the wheel.

What does your equation imply about the relative linear speeds for points farther and farther out on the wheel? Is this consistent with your answer to part A?

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