Physics Technology Update (4th Edition)

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

Chapter 13 - Oscillations About Equilibrium - Problems and Conceptual Exercises - Page 446: 26

Answer

(a) $1.01\frac{m}{s}$ (b) $808.5\frac{m}{s^2},82.4g$

Work Step by Step

(a) We know that $v_{max}=A(2\pi f)$ We plug in the known values to obtain: $v_{max}=(0.00125)(2\pi \times 128)=1.01\frac{m}{s}$ (b) The maximum acceleration can be calculated as $a_{max}=A(2\pi f)^2$ We plug in the known values to obtain: $a_{max}=(1.25)(2\pi \times 128)^2=808.5\frac{m}{s^2}$ Now we can write this acceleration as a multiple of g $a_{max}=808.5(\frac{g}{9.81})=82.4g$
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