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 - Questions - Page 286: 4d

Answer

The angular acceleration $\alpha$ is negative.

Work Step by Step

$\alpha = \frac{d\omega}{dt} = \frac{d^2\theta}{dt^2}$ If the $\theta$ versus $t$ curve is concave up, then $\alpha \gt 0$ If the $\theta$ versus $t$ curve is concave down, then $\alpha \lt 0$ On the graph, we can see that the $\theta$ versus $t$ curve is concave down. Thus, $~~\alpha \lt 0$ That is, the angular acceleration $\alpha$ is negative.
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