Physics

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Linear Actuator Force Calculator.

Calculate ideal screw-actuator force from torque, lead, and efficiency.

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01

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Results update as you type.

Force: 2,010.619298 N

Force

0.000000N

Results update automatically as you type.

Use Cases

Designing a linear actuator system

Engineers can use this calculator to estimate the force output of a screw-driven actuator based on motor torque and screw specifications, helping in component selection.

Example: If you have a motor with 2 N·m torque, a screw lead of 0.005 m/rev, and 90% efficiency, the force is about 2261 N.

Educational physics demonstrations

Students and educators can explore the relationship between torque, lead, and force in mechanical systems, reinforcing concepts of mechanical advantage.

Example: Vary the lead from 0.01 to 0.001 m/rev to see how force increases tenfold.

Frequently Asked Questions

How is linear actuator force calculated?
The force is calculated using the formula: Force = (2 * π * Torque * Efficiency) / Lead. You input motor torque in N·m, screw lead in m/rev, and efficiency as a decimal (e.g., 0.9 for 90%). The calculator outputs the ideal force in Newtons.
What does screw lead mean?
Screw lead is the linear distance the actuator moves per one complete revolution of the screw. It is measured in meters per revolution (m/rev). A smaller lead gives higher force but lower speed, while a larger lead gives lower force but higher speed.
Why is efficiency important in this calculation?
Efficiency accounts for losses due to friction and other factors in the screw mechanism. Real-world actuators are not 100% efficient, so using an efficiency value (e.g., 0.85) gives a more realistic force estimate. The calculator uses efficiency as a multiplier in the formula.

Tips & Common Mistakes

Tips

  • Ensure torque is in N·m and lead is in m/rev. Convert units if necessary (e.g., from lb-ft to N·m).
  • Efficiency should be between 0 and 1. Typical screw efficiencies range from 0.2 to 0.9 depending on type (ball screw vs. lead screw).
  • For a quick estimate, use 0.9 for ball screws and 0.5 for lead screws, but check manufacturer data for accuracy.
  • Remember that this calculator gives ideal force; actual force may be lower due to additional losses like bearing friction.

Common Mistakes to Avoid

  • Using lead in mm/rev instead of m/rev. Always convert to meters (e.g., 5 mm = 0.005 m).
  • Entering efficiency as a percentage (e.g., 90) instead of a decimal (0.9). The calculator expects a value between 0 and 1.
  • Confusing torque with power. Torque is a force applied at a distance, not the motor's power rating.

Last updated: August 13, 2026