Answered: Starting from rest, the two wheels of a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 2P: A bar on a hinge starts from rest and rotates with an angular acceleration = 10 + 6t, where is in...

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Question

Starting from rest, the two wheels of a mountain bike have both an angular acceleration of 4.0 rad/s^2. What is its angular speed at the instant when one has made 10 revolutions?

A. 16 rad/s.

B. 22 rad/s.

C. 32 rad/s.

D. 250 rad/s.

E. 500 rad/s.

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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