Enter the input and output torque values into the calculator to determine the torque ratio. This calculator helps in understanding the mechanical advantage provided by a system.

Torque Ratio Formula

The following formula is used to calculate the torque ratio:

TR = frac{OT}{IT}


  • TR is the torque ratio (dimensionless)
  • OT is the output torque (Newton-meters)
  • IT is the input torque (Newton-meters)

To calculate the torque ratio, divide the output torque by the input torque.

What is a Torque Ratio?

Torque ratio is a measure of the mechanical advantage in a system, such as a gearbox or lever system, that amplifies force. It is the ratio of the output torque to the input torque and indicates how much the torque is increased or decreased by the system. A higher torque ratio means more amplification of the input force, which can be crucial in applications requiring significant force multiplication.

How to Calculate Torque Ratio?

The following steps outline how to calculate the Torque Ratio.

  1. First, determine the input torque (IT) in Newton-meters.
  2. Next, determine the output torque (OT) in Newton-meters.
  3. Next, gather the formula from above = TR = OT / IT.
  4. Finally, calculate the Torque Ratio (TR).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

input torque (IT) = 50 Nm

output torque (OT) = 200 Nm