7. At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s', while the gear rack has a velocity of 1.5 m/s and acceleration of o.75 m/s'. Determine the angular acceleration of the gear at this instant. a-1.5 m -3 m/ 0.3m 0.2 m ac-075 m/ 1.5 m/s

7. At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s', while the gear rack has a velocity of 1.5 m/s and acceleration of o.75 m/s'. Determine the angular acceleration of the gear at this instant. a-1.5 m -3 m/ 0.3m 0.2 m ac-075 m/ 1.5 m/s

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 38P: During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500...

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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

draw the free body diagram

7. At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s', while the gear
rack has a velocity of 1.5 m/s and acceleration of o.75 m/s. Determine the angular acceleration of the
gear at this instant.
a-15 m/
-3m/s
0.3 m,
02m
ac = 0.75 m/s
"c- 1.5 m/s

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