Enter the total angular displacement (rad) and the torsion spring constant (N-m/rad) into the calculator to determine the Torsion Spring Torque.

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## Torsion Spring Torque Formula

The following formula is used to calculate the Torsion Spring Torque.

Tts = D*TSR

- Where Tts is the Torsion Spring Torque (N-m)
- D is the total angular displacement (rad)
- TSR is the torsion spring constant (N-m/rad)

To calculate the torsion spring torque, multiply the angular displacement by the torsion spring constant.

## How to Calculate Torsion Spring Torque?

The following two example problems outline how to calculate the Torsion Spring Torque.

**Example Problem #1:**

- First, determine the total angular displacement (rad). In this example, the total angular displacement (rad) is given as 30.
- Next, determine the torsion spring constant (N-m/rad). For this problem, the torsion spring constant (N-m/rad) is given as 10.
- Finally, calculate the Torsion Spring Torque using the equation above:

Tts = D*TSR

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

Tts = 30*10 = 300 (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:

total angular displacement (rad) = 75

torsion spring constant (N-m/rad) = 20

Entering these values yields:

Tts = 75*20 = 150 (N-m)