How is the sprocket ratio calculated?

The sprocket ratio is a measure of the relationship between the diameters of the driver and driven sprockets in a chain drive system. The correct approach to calculate the sprocket ratio involves dividing the diameter of the driven sprocket by the diameter of the driver sprocket.

When you take the driven sprocket's diameter and divide it by the driver's diameter, you determine how many times the driver must rotate to complete one rotation of the driven sprocket. This calculation is crucial for understanding gear ratios, speed, and torque transmission in mechanical systems, especially in bicycles and various machinery.

Using the diameter values in this way gives a direct relationship that describes how power and rotation are transferred through the sprockets, ensuring that one can predict the output speed and force based on the input from the driver sprocket. This understanding is vital for designing mechanical systems that require precise movement and control.