In terms of torque relationships, which formula should be used?

The correct formula for torque relationships in mechanical systems relates the output torque to the input torque and the velocity ratio. Torque can be thought of as a rotational force, and when dealing with gears or similar systems, the relationship between input and output can be described using the velocity ratio, which is the ratio of the output speed to the input speed.

In this context, the formula states that the output torque is equal to the input torque multiplied by the velocity ratio, indicating that as the input torque increases, the output torque will also increase proportionally based on the mechanical advantage provided by the gears or system in question. This reflects how machines can transform energy and increase force, making it an essential concept in design technology.

Understanding this principle is crucial in various applications, such as gear systems and motor drives, where maximizing efficiency and understanding how power is transferred can significantly affect design decisions and outcomes.