Question

always remember to reduce to the lowest common denominator. what is the gear ratio of the following simple gear train? gear a has 10 teeth. gear b has 20 teeth. gear c has 10 teeth. (numerator) (denominator)

Explanation:

The gear - ratio of a simple gear train is given by the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear. In a multi - gear train, if gear A is the input gear and gear C is the output gear with an intermediate gear B, the overall gear ratio \(r=\frac{N_{B}}{N_{A}}\times\frac{N_{C}}{N_{B}}=\frac{N_{C}}{N_{A}}\), where \(N_{A}\), \(N_{B}\), and \(N_{C}\) are the number of teeth on gears A, B, and C respectively. Here, \(N_{A} = 10\) and \(N_{C}=20\), so the gear ratio \(r=\frac{20}{10}=2\).

Answer:

2