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Exponential Representation for Irrational Numbers

Question

Given that:
$T = 2 π \sqrt{\frac{l}{g}}$ , express $g$ in term of $T, π, a n d l$ .

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Solution

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$T = 2 π \sqrt{\frac{l}{g}} \Rightarrow T^{2} = 4 π^{2} (\frac{l}{g}) \Rightarrow g = 4 π^{2} (\frac{l}{T^{2}})$

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