Calculate net torque from forces, power and speed, moment of inertia and angular acceleration, or wrench force, length and angle inputs.

Counterclockwise is positive. All forces must act about the same pivot.

One row per force, up to 100. Type: force or mass. Units: N/lbf or kg/lb; m/ft/in; deg/rad. Direction: CCW/CW. Angle is 0โ€“180ยฐ between radius and force; mass uses standard gravity.

Net Torque Formula

The following formula is used to calculate the Net Torque.

Tnet = โˆ‘ f ร— sin(a) ร— r
  • Where Tnet is the Net Torque (N-m)
  • f is the signed force contribution (N), positive for counterclockwise and negative for clockwise rotation.
  • a is the angle between each radius and force (degrees).
  • r is the radius (m) 

How to Calculate Net Torque?

The following example problems outline how to calculate Net Torque.

Example Problem #1

  1. First, determine the forces (N). In this example, the forces (N) are determined to be 10, 30, 5.
  2. Next, determine the angles (degrees). For this problem, the angles (degrees) are measured to be 5, 10, 75.
  3. Next, determine the radius (m). In this case, the radius (m) is found to be 4.
  4. Finally, calculate the Net Torque using the formula above: 

Tnet = โˆ‘ f*sin(a)*r

Inserting the values from above and solving yields: 

Tnet = โˆ‘ f*sin(a)*r = 43.64 (N-m)

Example Problem #2

Using the same method as above, determine the variables required by the formula. For this example problem, these are:

forces (N) = 6,8,9

angles (degrees) = 20,30,60

radius (m) = 10

Entering these given values into the calculator or the formula above yields: 

Tnet = 138.463 (N-m)