Fundamentals of Physics Extended (10th Edition)

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

Chapter 15 - Oscillations - Problems - Page 442: 101a

Answer

$3.2$ Hz

Work Step by Step

We know that frequency is: $$f=\frac{1}{T}$$ We also know that the formula for period is: $$T=2 \pi \sqrt{\frac{m}{k}}$$ Substituting the second formula in the first formula and substituting the values, we find the value of frequency: $$f=\frac{1}{2 \pi}\sqrt{\frac{k}{m}}=\frac{1}{2 \pi}\sqrt{\frac{480}{1.2}}=3.2 Hz$$
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