Enter the total torque, radius, and angle of applied force into the calculator to determine the total force.

Torque to Force Calculator

Enter any 3 values to calculate the missing variable

Torque to Force Formula

The following formula is used to convert a torque to a force. 

F = t / (r*sin(a))
  • Where F is the force
  • t is the torque
  • r is the radius of the applied force
  • a is the angle of the force applied

To calculate force from torque, divide the total torque by the result of the radius times the sine of the angle of the force.

Torque to Force Conversion Table (90°, F = T / r)
Torque (N·m) Force at 0.1 m (N) Force at 0.2 m (N) Force at 0.5 m (N) Force at 1.0 m (N)
110521
2201042
3301563
55025105
7.57537.5157.5
10100502010
12120602412
15150753015
202001004020
252501255025
303001506030
353501757035
404002008040
5050025010050
6060030012060
7575037515075
1001,000500200100
1501,500750300150
2002,0001,000400200
2502,5001,250500250
Assumes perpendicular force (θ = 90°, sinθ = 1): F = T / r. For other angles, F = T / (r · sinθ). Units: torque in N·m, force in N, radius in meters.

Convert Torque to Force

Converting torque to force requires you to divide the total torque by the product of the radius and angle of the applied force.

Torque to Force Example

How to convert torque to force?

  1. First, determine the total torque.

    Measure the total torque acting on an object.

  2. Next, determine the radius.

    Measure the radius of the lever arm that the force is acting on.

  3. Next, determine the angle.

    Measure the angle of the force applied. 90 degrees would be completely perpendicular to the radius.

  4. Finally, calculate the force.

    Calculate the force using the formula above.

FAQ

What’s the difference between torque and force?

Torque is a measure of force times distance, while force is just a measure of the acceleration times mass.