How long must a pendulum on the Moon be if it is to have a period of 2.00 seconds? (Acceleration of gravity on the moon is 1.62 m/s².) A)4.11 cm B)16.4 cm C)51.0 cm D)99.4 cm E)39.2 m

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Quizplus · Accepted Answer

The period of a pendulum is given by $T = 2\pi\sqrt{\frac{L}{g}}$, where $T$ is the period, $L$ is the length of the pendulum, and $g$ is the acceleration due to gravity. Rearranging for $L$, we get $L = \frac{gT^2}{4\pi^2}$. Substituting $g = 1.62 \, \text{m/s}^2$ and $T = 2.00 \, \text{s}$, we find $L = 16.4 \, \text{cm}$.

How Long Must a Pendulum on the Moon Be If