Calculating k in Transposed Formula for Periodic Motion?

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Homework Help Overview

The discussion revolves around transposing the formula for the period of periodic motion, specifically T=2pi *sqrt(m/k), to isolate k. The subject area is physics, focusing on the dynamics of oscillatory systems.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the process of isolating k by considering algebraic manipulations, such as squaring both sides of the equation and rearranging terms.

Discussion Status

The discussion has progressed with participants offering guidance on the steps needed to isolate k. There is an acknowledgment of the algebraic transformations required, and a proposed expression for k has been suggested, though the discussion remains open to further exploration.

Contextual Notes

Participants are working within the constraints of the original formula and are focused on algebraic manipulation without introducing external concepts or solutions.

TyErd
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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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