If you have a gear train with two gears, one with 20 teeth and the other with 8 teeth, how many revolutions does the second gear make for each revolution of the first gear?

2.50

Explanation

The gear ratio \(({V_r})\) of a gear train is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:
\(\left.V_{r}=\frac{N_{1}}{N_{2}}\right)\left(\frac{N_{2}}{N_{3}}\right)\left(\frac{N_{3}}{N_{4}}\right) \ldots\left(\frac{N_{n}}{N_{n+1}}\right)\)
In this problem, we have only two gears so the equation becomes:
\(V_{T}=\frac{N_{1}}{N_{2}}=\frac{20}{8}=2.50\)

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