Enter the input torque (N-m) and the gear ratio (Do/Di) into the calculator to determine the Gear Output Torque. 

Gear Output Torque Formula

The following formula is used to calculate the Gear Output Torque. 

To = Ti * GR

  • Where To is the Gear Output Torque (N-m)
  • TI is the input torque (N-m) 
  • GR is the gear ratio (Do/Di) 
    • = Output diameter divided by input diameter

How to Calculate Gear Output Torque?

The following two example problems outline how to calculate the Gear Output Torque.

Example Problem #1:

  1. First, determine the input torque (N-m). In this example, the input torque (N-m) is measured to be 500.
  2. Next, determine the gear ratio (Do/Di). For this problem, the gear ratio (Do/Di) is calculated to be 3.
  3. Finally, calculate the Gear Output Torque using the formula above: 

To = Ti * GR

Inserting the values from above and solving the equation with the imputed values gives: 

To = 500 * 3 = 1500 ((N-m))

Example Problem #2: 

Using the same process as example problem 1, we first define the variables outlined by the formula. In this case, the values are:

input torque (N-m) = 150

gear ratio (Do/Di) = 2

Entering these values into the formula or calculator above gives us:: 

To = 150* 2 = 300 ((N-m))