What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?

To determine the speed ratio between two gears, you can use the formula which relates the number of teeth on the gears to their speeds. The speed ratio can be expressed as the ratio of the number of teeth on the input gear to the number of teeth on the driven gear.

In this case, the input gear has 36 teeth, and the driven gear has 20 teeth. The speed ratio can be calculated as follows:

Speed Ratio = Number of Teeth on Input Gear / Number of Teeth on Driven Gear

Speed Ratio = 36 teeth / 20 teeth

Speed Ratio = 1.8

This means that for every complete rotation of the driven gear, the input gear will rotate 1.8 times. Thus, the correct statement regarding the speed ratio, which is a comparison of the input gear's speed to the driven gear's speed, is 1:1.8.

This ratio indicates that the input gear, with more teeth, is turning slower relative to the driven gear, confirming that the chosen answer accurately represents the relationship between the two gears.