Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 8 - Rotational Kinematics - Check Your Understanding - Page 199: 2


Rank in descending order: B, C, A.

Work Step by Step

Take $s$ to be the diameter of the object, $\theta$ to be the angle the object subtends, and $r$ to be the distance from the object to the observer. We have $$r=\frac{s}{\theta}$$ For an object with $s=d$ and $\theta=\theta_0$, we have $r=d/\theta_0$ - Object A: $$r_A=\frac{4d}{2\theta_0}=2r$$ - Object B: $$r_B=\frac{3d}{\frac{\theta_0}{2}}=6r$$ - Object C: $$r_C=\frac{\frac{d}{2}}{\frac{\theta_0}{8}}=4r$$ To rank in descending order: B, C, A.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.