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Servo Torque Calculator

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The term “servo” in mechanics refers to an automatic device that uses error-sensing negative feedback to correct the performance of a mechanism. On the other hand, “torque” signifies a measure of the force that can cause an object to rotate around an axis. Consequently, a Servo Torque is the force generated by a servo motor that contributes to the movement of the object it is attached to.

A Servo Torque Calculator, as the name suggests, is a practical tool for computing the torque generated by a servo motor. This calculator utilizes a specific formula to derive the servo torque, which is crucial in various engineering applications.

Working of the Servo Torque Calculator

The Servo Torque Calculator operates using a specific formula that combines several variables. Each of these variables plays a crucial role in the computation of servo torque. When using this calculator, you input the variables, and the tool applies them to the formula to calculate the Servo Torque.

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Servo Torque Formula & Variables

The Servo Torque Calculator employs the following formula:


In this formula:

  • 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)

The moment of inertia (I) refers to the measure of an object’s resistance to changes in its rotation. The angular acceleration (α) signifies how quickly an object’s rotational speed changes. The mass (m) is the amount of matter in the object. Gravity’s acceleration (g) is a constant value in physics, representing the rate at which objects accelerate toward the earth. Lastly, the radius (r) represents the straight-line distance from the center of the circle to its circumference.

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Detailed Example

Let’s use a specific example to understand how the Servo Torque Calculator works:

Suppose we have:

  • Moment of inertia (I): 5 kg-m^2
  • Angular acceleration (α): 12 rad/s^2
  • Mass (m): 4 kg
  • Radius (r): 5 m

By substituting these values into the formula, we have:

Tservo = (512) + ((49.81*5)/2) = 158.1 N-m

Therefore, the Servo Torque in this case is 158.1 Newton meters (N-m).

Applications of Servo Torque Calculator

The Servo Torque Calculator is a vital tool in several engineering applications, particularly in robotics, automation, and machinery design. Engineers use it to calculate the required servo motor torque to ensure their designs perform optimally. It helps in specifying the correct motor for applications like robotic arms, automated guided vehicles, and CNC machines. It is also used in the aerospace industry to control the movement and position of aircraft components.

Most Common FAQs

What variables are used in the Servo Torque Formula?

The formula uses the moment of inertia, angular acceleration, mass, radius, and acceleration due to gravity.

How does the Servo Torque Calculator work?

The calculator uses the servo torque formula by inputting the necessary variables to calculate the Servo Torque.

Where is the Servo Torque Calculator applied?

It is mainly used in robotics, automation, machinery design, and the aerospace industry.


Understanding the Servo Torque Calculator’s operation and applications is essential for various engineering sectors. It empowers professionals and enthusiasts alike to comprehend and employ the torque generated by servo motors in their designs or projects. With its versatility and precision, this calculator continues to be an invaluable tool in the world of engineering.

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