Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 4 - Kinematics in Two Dimensions - Exercises and Problems - Page 113: 56

Answer

Not uniform circular motion. The angular acceleration is negative.

Work Step by Step

We can find the angular velocity of two times or more to see if it gives the same magnitude or not. $$\omega_1=\dfrac{\theta}{t}=\dfrac{2}{0.1}=\bf 20 \;\rm rad/s$$ $$\omega_2=\dfrac{\theta}{t}=\dfrac{3.2}{0.2}=\bf16 \;\rm rad/s$$ $$\omega_3=\dfrac{\theta}{t}=\dfrac{4.3}{0.3}=\bf 14.3\;\rm rad/s$$ $$\omega_4=\dfrac{\theta}{t}=\dfrac{5.3}{0.4}=\bf 13.25\;\rm rad/s$$ It seems that the motion is not uniform, as we see the angular speed decrease. This means that the angular acceleration is negative.
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