1. The angular acceleration of the disk is defined by a = 31² + 10 rad/s, where t is in seconds. If the disk is originally rotating at wo 12 rad/s, determine the magnitude of the velocity and the n and t components of = B 0.4 m -0.5 m-

1. The angular acceleration of the disk is defined by a = 31² + 10 rad/s, where t is in seconds. If the disk is originally rotating at wo 12 rad/s, determine the magnitude of the velocity and the n and t components of = B 0.4 m -0.5 m-

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 49P: A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are...

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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

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1.
The angular acceleration of the disk is defined by
a = 3t² + 10 rad/s, where t is in seconds. If the disk is
originally rotating at wo 12 rad/s, determine the
magnitude of the velocity and the n and t components of
acceleration of point A on the disk when t = 2 s.
B
0.4 m
@0
0.5 m-A
12 rad/s

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