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Unread 24-08-2012, 09:59
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Re: pic: Single Speed Gearbox Iterations

Quote:
Originally Posted by Nate Laverdure View Post
Both the 12-tooth and the 14-tooth pinions will be undercut, but the 12-tooth more severely so. From page 141 (PDF link):

The formula for the number of teeth (z) required to eliminate undercut is:
z = 2 / sin^2(a)

where a is the pressure angle. Interestingly, this isn't dependent on pitch.
It is independent from the pitch since all gears of the same pressure angle and tooth count are geometrically similar. All 14.5 degree pressure angle gears with 24 teeth are the same profile, just at different scales.
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