Calculating k in Transposed Formula for Periodic Motion?

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To transpose the formula T=2pi *sqrt(m/k) for k, first square both sides to get T^2 = (2pi)^2 * (m/k). Next, multiply both sides by k, resulting in k * T^2 = 4pi^2 * m. Finally, divide both sides by T^2 to isolate k, yielding k = 4pi^2 * m / T^2. This provides the desired equation for k in terms of m and T.
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how to transpose the formula T=2pi *sqrt(m/k) so k is the subject
 
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You see that your k is inside the square root. Maybe squaring both sides of the equation might help?
 


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


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?
 


so k=4pi^2*m/(T^2)
 
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