How do you calculate the required RPM for a driven gear?

To determine the required RPM for a driven gear, the appropriate approach is to apply the formula that relates the speed of the driving gear to the speed of the driven gear based on the number of teeth on each gear. The equation RPMdriven = RPMdriving × (Teethdriving / Teethdriven) effectively allows you to understand how the gear ratio influences the rotational speed.

This formula works because it takes into account the mechanical advantage provided by the gears: if the driving gear has more teeth than the driven gear, it will turn slower, and vice versa. By knowing the RPM of the driving gear (the gear that is directly driven by the motor or input), and the number of teeth on both gears, you can accurately calculate the RPM of the driven gear. This is crucial in applications where specific speeds are required for machinery to operate efficiently and effectively.

Other options may seem appealing, but they do not provide a systematic method for calculating RPM. For instance, knowing the motor's power output does not directly relate to the RPM of a driven gear, as power and speed are not inherently the same. Measuring the size of the gears alone wouldn't give you the necessary data without taking into account the gear teeth, and claiming that no calculation is needed