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How to calculate perimeter of spur gear?

Turns out there is no single formula for finding the circumference of a gear. So I came up with one that approximates it with about 5% error which is more than enough for my purpose. $$P = 2\pi mz$$ W …
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How to calculate perimeter of spur gear?

I'm in need of some gears, but having them made by a machinist is very expensive so I'm planning to have them laser cut. Loads are reasonably low for any grade of steel, so I'm hoping it should be fin …
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