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x & y equations for flat steel coil

Question asked by Rodney Martin on Jan 4, 2018
Latest reply on Jan 4, 2018 by Rodney Martin

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?

 

Thanks,

Rod

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