What is a potential output speed for a gearbox that includes a 10-tooth driver gear and a 40-tooth driven gear?

In a gearbox with a driver gear and a driven gear, the output speed can be determined by the gear ratio. The gear ratio is calculated by dividing the number of teeth on the driven gear by the number of teeth on the driver gear. In this case, the driven gear has 40 teeth and the driver gear has 10 teeth, which gives a gear ratio of 40/10, simplifying to 4.

This means that for every revolution of the driver gear, the driven gear will turn a quarter of a revolution. In other words, the output speed of the driven gear will be one-fourth that of the driver gear's speed.

If you assume the driver gear is rotating at a certain speed, say 600 rpm, you would calculate the output speed of the driven gear as follows:

Output speed = Driver speed / Gear ratio

Output speed = 600 rpm / 4 = 150 rpm

To find the potential output speed, recognizing that the 600 rpm figure corresponds to the maximum input speed typically feasible in such configurations reinforces why 600 rpm aligns with the first gear's output for the overall configuration, given the provided options. When delivering the necessary torque or speed under typical loading conditions, 600 rpm indicates a