Enter the moment of inertia (kg-m^2), the angular acceleration (rad/s^2), radius (m), and the mass (kg) into the calculator to determine the Servo Torque. 

Servo Torque Formula

The following formula is used to calculate the Servo Torque.

Tservo = I*α + m * g * r/2

  • Where Tservo is the Servo Torque (N-m)
  • I  is the moment of inertia (kg-m^2) 
  • α is the angular acceleration (rad/s^2) 
  • m is the mass (kg) 
  • g is the acceleration due to gravity (9.81 m/s^2)
  • r is the radius (m)

How to Calculate Servo Torque?

The following example problems outline how to calculate Servo Torque.

Example Problem #1

  1. First, determine the moment of inertia (kg-m^2). In this example, the moment of inertia (kg-m^2) is determined to be 5 .
  2. Next, determine the angular acceleration (rad/s^2). For this problem, the angular acceleration (rad/s^2) is measured to be 12 .
  3. Next, determine the mass (kg). In this case, the mass (kg) is found to be 4.
  4. Next, determine the radius. For this problem, this is 5m.
  5. Finally, calculate the Servo Torque using the formula above: 

Tservo = I*α + m * g * r/2

Inserting the values from above and solving yields: 

Tservo = 5*12 + 4 * 9.81 * 5/2 = 158.1 (N-m)


Example Problem #2

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

moment of inertia (kg-m^2) = 89

angular acceleration (rad/s^2) = 4

mass (kg) = 58

radius (m) = 2.5

Enter these given values yields: 

Tservo = 89*2.5 + 58 * 9.81 * 2.5/2 = 933.725 (N-m)