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 441: 91c

Answer

$0.0$ Hz

Work Step by Step

The formula for the period is: $$T=2\pi \sqrt{\frac{l}{g}}$$ We also that frequency is: $$f=\frac{1}{T}$$ Combining the two formulas; $$f=\frac{1}{2\pi} \sqrt{\frac{g}{l}}$$ Since the pendulum is in free fall, the apparent gravity is actually $9.8m/s^2-9.8m/s^2=0m/s^2$, or "zero gravity". Therefore, the frequency is: $$f=\frac{1}{2\pi} \sqrt{\frac{0.0m/s^2}{2.0m}}=0.0 Hz$$
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