What is the output speed of the gearbox shaft if the input speed is 200 revolutions per second and the gear ratio is 10?

To find the output speed of the gearbox shaft, you can use the relationship defined by the gear ratio. The gear ratio indicates how much the output speed will be affected by the input speed. In this case, a gear ratio of 10 means that for every 10 revolutions the input shaft makes, the output shaft makes 1 revolution.

Given that the input speed is 200 revolutions per second, you divide the input speed by the gear ratio to get the output speed. Therefore, the calculation would be:

Output speed = Input speed / Gear ratio

Output speed = 200 revolutions per second / 10

Output speed = 20 revolutions per second

When converted to revolutions per minute (rpm), this is calculated as follows:

20 revolutions per second * 60 seconds/minute = 1200 rpm.

The output speed is expressed in the same unit of measurement. This results in the output speed being significantly lower than the input speed due to the high gear ratio.

In this context, the correct answer should reflect the correct calculation based on the ratio provided. Although the output speed of 200 revolutions per second might seem feasible at first glance, the mechanical relationship of the gear ratio clearly illustrates that the output will