7. Gear A has an angularacceleration of3t³rads/s², where t is inseconds. The gear isinitially turning at 20 rad/s.At time t = 3 seconds,determine:[Select](a) the angular velocity ofgear A[Select](b) the angular velocity ofgear B[Select](c) the normal accelerationof gear B[Select](d) the tangentialacceleration of gear B

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Gear A has an angular acceleration of 3t³ rads/s², where t is in seconds. The gear is initially turning at 20 rad/s. At time t = 3 seconds, determine: [Select] (a) the angular velocity of

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 1P: During a certain time interval, the angular position of a swinging door is described by = 5.00 +...

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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

Gear A has an angular
acceleration of
3t³
rads/s², where t is in
seconds. The gear is
initially turning at 20 rad/s.
At time t = 3 seconds,
determine:
[Select]
(a) the angular velocity of
gear A
[Select]
(b) the angular velocity of
gear B
[Select]
(c) the normal acceleration
of gear B
[Select]
(d) the tangential
acceleration of gear B

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