A spinning wheel initially has an angular velocity of 50 rad/sec east; 20 seconds later, its angular velocity is 50 rad/sec west. If the angular acceleration is constant; a) What is the magnitude and direction of the angular acceleration? b) What is the angular displacement over 20 seconds? c) What is the angular speed at 30 seconds?

A spinning wheel initially has an angular velocity of 50 rad/sec east; 20 seconds later, its angular velocity is 50 rad/sec west. If the angular acceleration is constant; a) What is the magnitude and direction of the angular acceleration? b) What is the angular displacement over 20 seconds? c) What is the angular speed at 30 seconds?

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 29P: A track star runs a 400-m race on a 400-m circular track in 45 s. What is his angular velocity...

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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 spinning wheel initially has an angular velocity of 50
rad/sec east; 20 seconds later, its angular velocity is 50
rad/sec west. If the angular acceleration is constant;
a) What is the magnitude and direction of the angular
acceleration?
b) What is the angular displacement over 20 seconds?
c) What is the angular speed at 30 seconds?

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