Calculating k in Transposed Formula for Periodic Motion?

[TyErd]

how to transpose the formula T=2pi *sqrt(m/k) so k is the subject

 

[ThetaPi]

You see that your $$k$$ is inside the square root. Maybe squaring both sides of the equation might help?

 

[TyErd]

would that make it T^2 = (2pi)^2 *(m/k) ?

 

[ThetaPi]

Good work. You're only one step away. Remember that you want to find an equation $$k = ??$$.

What if we multiply both sides by $$k$$, and then divide both sides by $$T^2$$?

 

[TyErd]

so k=4pi^2*m/(T^2)