Answered: A point on the rim of a 0.87 m radius…

A point on the rim of a 0.87 m radius rotating wheel has a centripetal acceleration of 8.8 m/s2. What is the angular velocity of a point 0.18 m from the center of the wheel?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 60A

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A point on the rim of a 0.87 m radius rotating wheel has a centripetal acceleration of 8.8 m/s2. What is the angular
velocity of a point 0.18 m from the center of the wheel?

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