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In the train on the left, the smaller gears are one-fifth the size of the larger gears. That means that if you connect the purple gear to a motor spinning at 100 revolutions per minute (rpm), the green gear will turn at a rate of 500 rpm and the red gear will turn at a rate of 2,500 rpm. In the same way, you could attach a 2,500-rpm motor to the red gear to get 100 rpm on the purple gear...
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In the same way, you could attach a 2,500-rpm motor to the red gear to get 100 rpm on the purple gear. Now that there is a basic understanding of gears and their workings it will be easier to understand the way it relates to trigonometry.
To make the wheels of a car turn the crankshaft and drive shaft must turn first...
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