What is the relationship between the number of teeth on a driver and driven sprocket in determining torque?

The number of teeth on the driver and driven sprockets plays a critical role in determining torque, particularly in systems involving gear or sprocket arrangements. Torque is indeed influenced by the ratio of the teeth count between the driver and driven sprockets. When a driver sprocket has fewer teeth than the driven sprocket, it typically requires more effort to turn the driven sprocket, which results in a higher output torque at the driven sprocket.

Essentially, by increasing the number of teeth on the driven sprocket in relation to the driver, the mechanical advantage increases, thus enhancing the torque that can be transmitted through the system. This is why torque is directly related to the teeth count; as you adjust the number of teeth, you directly affect the torque output.

This relationship highlights why different gear ratios are used in various applications, allowing for adjustments in power and speed based on the needs of the machinery or system in use.