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![[Post New]](/templates/default/images/icon_minipost_new.gif) 27 Dec 2006 21:41:26 IST
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ROTATION REDUCTION
The picture above shows a part of a mechanical contraption exhibited in the main gallery of the MIT museum. The contraption begins with a motor (on the left) turning at 212 revolutions per minute. It is connected to a sequence of N worm-gears, that can be seen in the picture. Each worm-gear pair reduces the rotation speed by a factor of 50. The axle of the last gear in the sequence is embedded in a concrete wall and cannot rotate! Assuming that each gear consists of an axle of about 10 cm in length and 1 cm in diameter, find the smallest N for which such an arrangement is possible.
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