What is the Gear Ratio in a Gear Train?

How does the number of teeth on the input gear compared to the number of teeth on the output gear determine the gear ratio in a gear train?

Gear Ratio Calculation in Gear Train

In a gear train, the gear ratio is determined by the ratio of the number of teeth on the input gear to the number of teeth on the output gear. The gear ratio is a measure of how much the output gear rotates in relation to the input gear.

The gear train in question consists of a 40-tooth (input) gear, a 20-tooth intermediary gear, and a 30-tooth output gear. The gear ratio can be calculated as follows:

Gear Ratio = Number of Teeth on Input Gear / Number of Teeth on Output Gear

Gear Ratio = 40 / 30 = 4 / 3

This means that for every 4 rotations of the input gear, the output gear will rotate 3 times.

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