Enter the total force (N), the radius (m), and the direction of force (degrees) into the calculator to determine the Magnitude of Torque. 

Magnitude of Torque Formula

The following formula is used to calculate the Magnitude of Torque.

Tm = F*r*sin(a)

  • Where Tm is the Magnitude of Torque (N-m)
  • F is the total force (N) 
  • r is the radius (m) 
  • a is the direction of force (degrees) 

How to Calculate Magnitude of Torque?

The following example problems outline how to calculate Magnitude of Torque.

Example Problem #1

  1. First, determine the total force (N). In this example, the total force (N) is determined to be 400 .
  2. Next, determine the radius (m). For this problem, the radius (m) is measured to be 50 .
  3. Next, determine the direction of force (degrees). In this case, the direction of force (degrees) is found to be 3.
  4. Finally, calculate the Magnitude of Torque using the formula above: 

Tm = F*r*sin(a)

Inserting the values from above and solving yields: 

Tm = 400*50*sin(3deg) = 1046.71 (N-m)

Example Problem #2

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

total force (N) = 78

radius (m) = 40

direction of force (degrees) = 12

Enter these given values into the calculator or above yields: 

Tm = 78*40*sin(12deg) = 648.68 (N-m)