Fundamentals of Physics Extended (10th Edition)

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

Chapter 4 - Motion in Two and Three Dimensions - Questions - Page 83: 12c

Answer

The vertical component $a_y$ of the particle’s acceleration is greatest in magnitude at $\theta = 90^{\circ}$ and $\theta = 270^{\circ}$

Work Step by Step

The magnitude of acceleration is constant and $~~a = \frac{v^2}{r}$ The acceleration vector is always directed toward the center of the circle. At $\theta = 90^{\circ}$, the acceleration vector is directed straight down so the magnitude of $a_y$ is a maximum. At $\theta = 270^{\circ}$, the acceleration vector is directed straight up so the magnitude of $a_y$ is a maximum. The vertical component $a_y$ of the particle’s acceleration is greatest in magnitude at $\theta = 90^{\circ}$ and $\theta = 270^{\circ}$
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