In the space at right sketch the position vectors for point C at the beginning and at the end of a small time Sketch of position vectors at t and t +At interval At. 1. Label the change in angle (AO) and the distance between the center of the wheel and point C (rc). Sketch the path taken by point C during this time interval. 90101 A A righ. nlugne What is the distance that point C travels during At? Express your answer in terms of rc and A O. ona po d of T innine 2se ud odT 2. Use your answer above and the definition of linear speed to derive an algebraic expression for the linear speed of point C in terms of the angular speed w 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?

In the space at right sketch the position vectors for point C at the beginning and at the end of a small time Sketch of position vectors at t and t +At interval At. 1. Label the change in angle (AO) and the distance between the center of the wheel and point C (rc). Sketch the path taken by point C during this time interval. 90101 A A righ. nlugne What is the distance that point C travels during At? Express your answer in terms of rc and A O. ona po d of T innine 2se ud odT 2. Use your answer above and the definition of linear speed to derive an algebraic expression for the linear speed of point C in terms of the angular speed w 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?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 33P: A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...

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