As the sprocket ratio (SR) increases, what happens to the torque on the driven shaft?

As the sprocket ratio increases, the torque on the driven shaft actually increases. The sprocket ratio is a measure of the relationship between the number of teeth on the driving sprocket and the number of teeth on the driven sprocket. When this ratio is higher, it means that the driven sprocket is turning slower compared to the driving sprocket, which results in a multiplication of torque being transmitted to the driven shaft.

This occurs because, in gear systems and chain drives, an increase in sprocket ratio allows the driving sprocket to exert a greater mechanical advantage. Essentially, the system is designed to convert higher rotational speed from the driver to greater torque on the driven side, thus enhancing the output torque available for work.

Understanding this principle is crucial in various applications including machinery, automotive systems, and robotics, where controlling speed and torque is essential for efficient operation.