Enter the total torque (N-m) and the change in angular position (radians) into the calculator to determine the Work Done By Torque. 

Work Done By Torque Formula

The following formula is used to calculate the Work Done By Torque. 

Wt = t * d(θ)
  • Where Wt is the Work Done By Torque (Joules)
  • t is the total torque (N-m) 
  • d(θ) is the change in angular position (radians) 

To calculate the work done by a torque, multiply the torque by the change in angular position.

How to Calculate Work Done By Torque?

The following two example problems outline how to calculate the Work Done By Torque.

Example Problem #1:

  1. First, determine the total torque (N-m). In this example, the total torque (N-m) is given as 40.
  2. Next, determine the change in angular position (radians). For this problem, the change in angular position (radians) is given as 100.
  3. Finally, calculate the Work Done By Torque using the equation above: 

Wt = t * d(θ)

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

Wt = 40 * 100 = 4000 (Joules)


Example Problem #2: 

Using the same process as above, first define the variables required by the formula. In this case, these values are:

total torque (N-m) = 15

change in angular position (radians) = 30

Entering these values yields:

Wt = 15 * 30 = 450 (Joules)