Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - Problems - Page 323: 10

Answer

a. 18 N/m b. 1.3 Hz

Work Step by Step

a. Use equation 11-6b to relate frequency, mass, and spring constant. $$f=\frac{1}{2 \pi}\sqrt{\frac{k}{m}}$$ $$k=4 \pi^2f^2m=4 \pi^2(3.0Hz)^2(0.052kg)=18.476 N/m \approx 18 N/m$$ b. $$f=\frac{1}{2 \pi}\sqrt{\frac{18.476 N/m}{0.28kg }}\approx 1.3 Hz$$
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