11th Edition

ISBN: 9781119455608

Author: Halliday

Publisher: WILEY

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 w…

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Textbook Question

Chapter 10, Problem 80P

A disk rotates al constant angular acceleration, from angular position θ₁ = 10.0 rad to angular position θ₂ = 70.0 rad in 6.00 s. Its angular velocity at θ₂ is 15.0 rad/s. (a) What was its angular velocity at θ₁? (b) What is the angular acceleration? (c) At what angular position was the disk initially at rest? (d) Graph θ versus time t and angular speed ω versus t for the disk, from the beginning of the motion (let t = 0 then).

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Chapter 10, Problem 79P

Chapter 10, Problem 81P

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Chapter 10 Solutions

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Ch. 10 - Figure 10-20 is a graph of the angular velocity...Ch. 10 - Figure 10-21 shows plots of angular position ...Ch. 10 - A force is applied to the rim of a disk that can...Ch. 10 - Figure 10-22b is a graph of the angular position...Ch. 10 - In Fig. 10-23, two forces F1 and F2 act on a disk...Ch. 10 - In the overhead view of Fig. 10-24, five forces of...Ch. 10 - Figure 10-25a is an overhead view of a horizontal...Ch. 10 - Figure l0-25b shows an overhead view of a...Ch. 10 - Figure 10-26 shows a uniform metal plate that had...Ch. 10 - Figure 10-27 shows three flat disks of the same...

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