What is the relationship defined by the equation Number of teeth on Driven gear/ Number of teeth on the Driving gear?

The relationship defined by the equation of the number of teeth on the driven gear divided by the number of teeth on the driving gear is known as the Mechanical Advantage. This concept is key in understanding how gears transmit force and movement in mechanical systems.

Mechanical Advantage essentially measures how much a machine amplifies an input force. In the context of gears, it indicates how effectively the input rotation (from the driving gear) is converted to output rotation (to the driven gear). When the driven gear has more teeth than the driving gear, it results in a greater Mechanical Advantage, meaning less force is required to move the load, but the output speed can also be reduced.

In contrast, terms like Velocity Ratio, Force Ratio, and Torque Ratio pertain to different aspects of mechanical systems. The Velocity Ratio is related to the speeds of the gears, the Force Ratio pertains to the forces applied, and Torque Ratio could relate to the torques on the gears, but none of these specifically captures the relationship defined by the number of teeth in the same way as Mechanical Advantage does. Thus, the given equation appropriately represents this particular mechanical relationship.