Monday, March 07, 2011

Five Gears

A non-circular gearImage via Wikipedia
There are five gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.

How much faster would the last gear be if the second gear was twice the size of the first gear, and all the other gears were the same size as the first gear?


  1. It would be slower.

  2. Half as fast. The second gear, being larger, would take twice as long to rotate fully. So therefore, by the time the last one came around, it would be going twice as slow as the first.

  3. JayTheVapingGuy4/20/2011 10:34 AM

    same speed... the teeth of the gear, not rotation of the gear will make the answer. There may be 20 teeth on the first gear and 40 teeth on the second gear, but if the third gear has 20 teeth then it will still rotate at the same speed... tooth for tooth. However, if it was gear driven between 1 and 2 and belt driven between 2 and 3, that would make the answer different as a full rotation of the second gear and third gear would be in sync because of the belt drive and therefore would be slower than the first gear as it would take two full rotations of the first gear to effect a full rotation of the second and subsequently the third gear.


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