Answer
$1.49m$
Work Step by Step
We know that
$T=2\pi \sqrt{\frac{\frac{2}{3}L}{g}}$
This can be rearranged as:
$L=\frac{3}{2}(\frac{T}{2\pi})^2g$
We plug in the known values to obtain:
$L=\frac{3}{2}(\frac{2.00}{2\pi})^2(9.81)=1.49m$
Physics Technology Update (4th Edition)
by Walker, James S.
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 449: 67
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