4. A disk of radius R = 3.0 m rotates at an angular velocity @ = (1.6 + 1.2t) rad/s. At the instant when t = 2.0, determine a. the instantaneous angular acceleration a b. The speed and the components of the acceleration a at a point on the edge of the disk. [w=2лf, v = Rw, atangential = RX, Centripetal = w²R]

4. A disk of radius R = 3.0 m rotates at an angular velocity @ = (1.6 + 1.2t) rad/s. At the instant when t = 2.0, determine a. the instantaneous angular acceleration a b. The speed and the components of the acceleration a at a point on the edge of the disk. [w=2лf, v = Rw, atangential = RX, Centripetal = w²R]

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 10CQ: In circular motion, a tangential acceleration can change the magnitude of the velocity but not its...

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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

4. A disk of radius R = 3.0 m rotates at an angular velocity @ = (1.6 + 1.2t)
rad/s. At the instant when t = 2.0, determine
a. the instantaneous angular acceleration a
b. The speed and the components of the acceleration a at a point on the edge
of the disk.
[w=2лf, v = Rw, atangential = RX, Centripetal = w²R]

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