Question

Describe the steps you would take to solve the given literal equation for m as shown.

t=2 pi square root of m/k

m=kt^2/4 pi^2

Answer 1

If \(t = 2\pi\sqrt{\frac{m}{k}}\), you can square both sides of the equation, yielding: \[t^2 = 2^2 \pi^2\left(\sqrt{\dfrac{m}{k}}\right)^2 = 4\pi^2 \dfrac{m}{k}.\]
Maybe you can continue now.