Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 10 - Rotational Kinematics and Energy - Problems and Conceptual Exercises - Page 329: 93

Answer

a) $\alpha=4.12\times 10^2\frac{rad}{s^2}$ b) $\omega=6.2\times 10^2\frac{rad}{s}$

Work Step by Step

(a) We know that $\alpha =\frac{a}{r}$ We plug in the known values to obtain: $\alpha=\frac{3.3}{\frac{1}{2}(0.016)}=4.12\times 10^2\frac{rad}{s^2}$ (b) As $\omega=\omega_{\circ}+\alpha t$ $\omega=0+\frac{a}{r}t$ $\omega=\frac{3.3}{\frac{1}{2}(0.016)}(1.5)=6.2\times 10^2\frac{rad}{s}$
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