Tandem Roller. Monday , June 04th , 2018 - 15:11:00 PM
In a sequence of gears chained together the ratio depends only on the number of teeth on the first and last gear. The intermediate gears regardless of their size do not alter the overall gear ratio of the chain. However the addition of each intermediate gear reverses the direction of rotation of the final gear.
Since the idler gear contacts directly both the smaller and the larger gear it can be removed from the calculation also giving a ratio of 42/13≈3.23. The idler gear serves to make both the drive gear and the driven gear rotate in the same direction but confers no mechanical advantage.
The transmission of rotation between contacting toothed wheels can be traced back to the Antikythera mechanism of Greece and the south-pointing chariot of China. Illustrations by the Renaissance scientist Georgius Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio.
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