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

To determine the speed ratio of two gears meshed together, you can use the relationship that the speed ratio is inversely proportional to the number of teeth on the gears. Specifically, the speed ratio can be calculated by dividing the number of teeth on the driven gear by the number of teeth on the driving gear.

In this scenario, there is an input gear with 36 teeth and a meshed gear with 20 teeth. The input gear (driving gear) has 36 teeth, and the driven gear has 20 teeth. So, the speed ratio is calculated as follows:

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

= 20 / 36

= 5 / 9

To express this ratio in a more intuitive form, it can be simplified or converted into a comparative format. When you invert this ratio to reflect the relationship of rotation speeds, it can be represented as:

Input Gear Speed : Output Gear Speed = 36 : 20

This can be further simplified to approximately 1.8, which matches the option of 1:1.8. This indicates that for every 1 rotation of the input gear, the output gear will complete approximately 1.8 rotations.

Thus, the