/sci/ - Science & Math

I was thinking about curvature(k) a little the other day. If the circumference of a sphere changes, from lets say C to C+1, should the curvature change in respect to the circumference at all? Or should it remain constant. I was thinking we could use the point ((C/2pi), 0,0) and ((C/2pi)+4,0,0) to describe the 2 changing points and constructing our r(t) curve, if following the curvature formula after finding T, the curvature would not change at all. Is this true? I've never seen any problems like this and I was just wondering if it's even possible to find curvature change in respect to the circumference of the sphere.
If any of you geniuses can give an answer that'd be great.

OP, that work is a nonconservative force that is converted into Gibbs free energy. The total sum of all calculated energies will equal 0 and the quantity called the Lagrangian which is potential minus Gibbs is always less than 0.

Hope this helps.