I have a piece of steel I was going to mill like this:
I think I’d like to mill it like this, with a radius at the end of the tapers:
...which raises the question of how I calculate the radius.
I found the following in Holbrook Horton’s “Mathematics at Work”, 4th ed., p. 13-2.:
Horton solves for the diameter bc, given radius de and the angle of taper A as known.
My question: I’m wondering if its possible to solve for the radius de given bc and the angle of taper A as known, or some other known values, such as the length from the beginning of the taper to b and c???? I want to be able to drop that radius value into a CNC G03 command.
The formula Horton gives to solve for bc is:
The derivation goes like this:
Thanks for any help with this. I'm just starting to learn trig, and get a little lost around cotangents, but I can plug known dimensions into formulas.