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Verified Answer :

t = 2\(\pi\) \(\sqrt{m/k}\)

1. Divide both sides by 2\(\pi\)
--> t / 2\(\pi\) = \(\sqrt{m/k}\)

2. Square both sides
--> \(t^{2}\) / 4\(\pi^{2}\) = m / k

3. Multiply both sides by k
--> m = k\(t^{2}\) / 4\(\pi ^{2}\)

Divide both sides of the equation by 2pi.


Square both sides of the equation.


Use the rule to simplify a fraction to a power.


Multiply both sides of the equation by k.

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