A uniform wheel of unknown mass M has radii ra = 0.1 m and rh = 0.23 m is subjected to different forces F1 = 11 N and F2 = 29 N. Such that it rotates around its center of mass, with an angular acceleration of az of magnitude 3.2 rad/s. The moment of inertia of the wheel is:

A uniform wheel of unknown mass M has radii ra = 0.1 m and rh = 0.23 m is subjected to different forces F1 = 11 N and F2 = 29 N. Such that it rotates around its center of mass, with an angular acceleration of az of magnitude 3.2 rad/s. The moment of inertia of the wheel is:

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 39P: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a...

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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

A uniform wheel of unknown mass M has radii rą = 0.1 m and
rb = 0.23 m is subjected to different forces F1 = 11 N and F2 =
29 N. Such that it rotates around its center of mass, with an
angular acceleration of az of magnitude 3.2 rad/s. The moment
of inertia of the wheel is:
F1
F2
a) Icm = 0.1156 kg-m²
b) Icm = 0.0578 kg-m²
c) Icm = 0.2313 kg-m2
d) Icm = 1.6969 kg-m²

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