Enter the change in kinetic energy (J) and the displacement (rad) into the calculator to determine the Torque From Kinetic Energy. 

Torque From Kinetic Energy Formula

The following formula is used to calculate the Torque From Kinetic Energy. 

T = dKE / dθ
  • Where T is the Torque From Kinetic Energy (N-m)
  • dKE is the change in kinetic energy (J) 
  • dθ is the displacement (rad) 

To calculate the torque from kinetic energy, divide the change in kinetic energy by the displacement.

How to Calculate Torque From Kinetic Energy?

The following two example problems outline how to calculate the Torque From Kinetic Energy.

Example Problem #1:

  1. First, determine the change in kinetic energy (J). In this example, the change in kinetic energy (J) is given as 400.
  2. Next, determine the displacement (rad). For this problem, the displacement (rad) is given as 2.
  3. Finally, calculate the Torque From Kinetic Energy using the equation above: 

T = dKE / dθ

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

T = 400 / 2 = 200 (N-m)


Example Problem #2: 

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

change in kinetic energy (J) = 1500

displacement (rad) = 6

Entering these values yields:

T = 1500 / 6 = 250 (N-m)