Anonymous asked in Science & MathematicsPhysics · 1 decade ago

Please need it for tomorrow! speed of rotation?

Imagine two ordinary gears of different diameter meshed together, with the larger one being the driver. If the larger gear has 85 teeth around its circumference and rotates at 4.6 rad/s, the smaller gear, which has only 29 teeth, will rotate at what speed?

1 Answer

  • 1 decade ago
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    The concept behind this is that they have only one teeth in contact at a time. So when a wheel has more teeth, it will move slowly whereas lesser number of teeth will mean faster rotation since it has to compensate for more teeth of the other one.

    Angular speed of smaller gear = (85/29) x 4.6 = 13.48 rad/sec

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