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The formula to determine the period of one swing of a simple pendulum is T

The formula to determine the period of one swing of a simple pendulum is T-example-1

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\begin{gathered} T=2\pi\sqrt[]{(L)/(g)} \\ \text{square both sides} \\ T^2=4\pi^2(L)/(g) \\ \text{cross multiply} \\ T^2g=4\pi^2L \\ \text{divide both sides by T}^2 \\ g=(4\pi^2L)/(T^2) \end{gathered}

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