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: 10c

Answer

$\omega_f=10rad/s$

Work Step by Step

The instantaneous angular velocity is the angular velocity at the end of the 5 seconds. This value can be determined with the equation: $\omega_f=\omega_0+\alpha t$ Since the disc started at rest, $\omega_0=0rad/s$ Substituting the angular acceleration from part (a), we get: $\omega_f=\alpha t=(2rad/s^2)(5s)=10rad/s$
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