Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 10 - Rotation - Problems: 10d

Answer

$\theta=75rad$

Work Step by Step

We can use the kinematic equation, $\theta=\omega_0 t +\frac{1}{2}\alpha t^2$, to determine the total additional angle that the disc will turn in the next 5s. The initial angular velocity for the next 5s is $10rad/s$ (part c). The initial angular acceleration is $2.0rad/s^2$ (part a). Therefore; $\theta=\omega_0 t +\frac{1}{2}\alpha t^2$ $=(10rad/s)(5.0s)+\frac{1}{2}(2.0rad/s^2)(5.0s)^2=75rad$
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