Answered: three flat disks (of the same radius)…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

three flat disks (of the same radius) that
can rotate about their centers like merry-go-rounds. Each disk consists
of the same two materials, one denser than the other (density is
mass per unit volume). In disks 1 and 3, the denser material forms
the outer half of the disk area. In disk 2, it forms the inner half of the
disk area. Forces with identical magnitudes are applied tangentially
to the disk, either at the outer edge or at the interface of the two materials,
as shown. Rank the disks according to (a) the torque about
the disk center, (b) the rotational inertia about the disk center, and
(c) the angular acceleration of the disk, greatest first.

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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