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Is there a formula to convert taper per inch/foot to degrees? I've found charts giving a few common measurements, but I want to be able to figure out other ones.
Just the standard sine equations for triangles - is that what you're after? Sine of the angle equals the taper per foot divided by 12 (inches). Watch out for half angles - ie, is your taper on the radius or the diameter, and is the angle you want the full angle or the half angle. Depending on the answers to those questions, there are some "1/2"s floating around in there.
The tangent of an angle is the opposite side divided by the adjacent side (of the triangle). Thus the tangent = the taper on radius divided by the length, i.e. 1 foot. The angle would be the arctangent (inverse tangent) of that value.
Example: The tangent of 1/4" (on radius) per foot = 0.25 / 12 = 0.0208333. The angle is the arctangent of 0.0208333, which = 1.1935 degrees, or 1 degree 11 minutes 36 seconds.
To double-check (using a calculator): Enter 1.1935 degrees. Take the tangent, then multiply the result by 12. The answer should be 0.25.
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Leigh
Leigh
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