Question
What is the relationship between the total energy and oscillation frequency of a simple pendulum?
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Answer
$\begin{aligned} \text { Total energy } & =\frac{1}{2} m \omega^2 A^2 \\ \text { But } \omega & =2 \pi n \\ \text { Total energy } & =\frac{1}{2} m(2 \pi n)^2 A^2=2 \pi^2 m n^2 A^2\end{aligned}$
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