A 60:1 gearbox is driven by a 1750 RPM motor. What is the output speed?

To find the output speed of a gearbox, you need to divide the input speed by the gear ratio. In this case, the motor speed is 1750 RPM, and the gearbox has a gear ratio of 60:1.

Calculating the output speed involves taking the input speed (1750 RPM) and dividing it by the gear ratio (60). So the calculation would be:

Output Speed = Input Speed / Gear Ratio

Output Speed = 1750 RPM / 60 = 29.1667 RPM

Rounding this value results in approximately 29.166 RPM, which aligns with the answer provided. The gearbox reduces the speed significantly since a higher gear ratio indicates that the output speed will be much lower than the input speed due to the mechanical advantage created by the gears. This is a fundamental characteristic of gearboxes; they can step down speeds while increasing torque.