I almost have it. I just need to calculate a theta dimension to drive my curve sweep for a flat steel coil. I have a finite length of material (L) that I need to wrap over an ID (ID). for a total revolution of (theta). I have my x & y equations for the spiral sweep:
x = ((ID/2 + pitch*(theta/(2*Pi))*cos((theta/2*Pi))
y = ((ID/2 + pitch*(theta/(2*Pi))*sin((theta/2*Pi))
I want to have a theta equation in terms of the above terms(ID,pitch,L). I'm a bit slow with my integration. Any math wiz have a second to bang this out?