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 448: 58

Answer

$L'=4L$

Work Step by Step

The period of a pendulum can be found using the formula $$T=2\pi \sqrt{\frac{l}{g}}$$ If the length of the pendulum is $4L$, the new period is $$T'=2\pi\sqrt{\frac{4l}{g}}=4\pi\sqrt{\frac{l}{g}}=2T$$ Therefore, if the length of the pendulum becomes 4L, the period will become 2T.
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