Screw Torque to Linear Force Calculator

If you're working with lead screws or ball screws, knowing how to convert torque into linear force is essential. Our Screw Torque to Linear Force Calculator is designed to make this task easy and accurate. Whether you’re an engineer, machinist, hobbyist, or DIY enthusiast, this calculator helps you find how much linear force is generated based on the input torque.

By entering just a few values, you can quickly calculate the linear force applied by a screw system. This tool is perfect for CNC machines, mechanical design, or any application involving screw mechanisms.

How Screw Torque Converts into Linear Force

When torque is applied to a screw, it rotates and pushes or pulls a load along its axis. This motion converts rotational energy (torque) into linear motion (force).

The efficiency of this conversion depends on several factors:

• Screw lead (distance the nut moves per screw revolution)
• Torque applied (in Newton-meters)
• Efficiency of the screw mechanism

Formula for Torque to Linear Force

Here’s the formula used in our calculator:

Linear Force (N) = (2 × π × Torque) / (Lead × Efficiency)

Where:

• Linear Force is in Newtons (N)
• Torque is in Newton-meters (Nm)
• Lead is in meters per revolution (m/rev)
• Efficiency is the decimal efficiency of the screw (typically between 0.3 to 0.9)

To use the formula properly:

• Make sure to convert the lead to meters if it's given in mm
• Use the torque in Nm
• Input the correct efficiency (if unknown, assume 0.3 for friction screws and 0.9 for ball screws)

How to Use the Screw Torque to Linear Force Calculator

1. Enter the Torque in Newton-meters (Nm)
2. Enter the Screw Lead in millimeters (mm)
3. Enter the Efficiency (optional, default is 0.3)
4. Click the Calculate button
5. Get the result in Newtons (N) – the linear force generated by the screw

This tool takes all the guesswork out and gives you precise results in seconds.

Why This Calculator is Important

Understanding how torque converts to linear force is crucial in many applications:

• Designing motion systems in automation
• Ensuring safety limits in lifting mechanisms
• Optimizing CNC machine performance
• Calculating push/pull power in robotics

Our calculator provides a simple interface and instant results, helping you make better design decisions.

Final Verdict

The Screw Torque to Linear Force Calculator is a must-have tool for anyone working with mechanical screw systems. Whether you’re designing, testing, or adjusting machines, this tool will save you time and ensure accuracy. With an easy-to-use interface and scientifically accurate formula, it eliminates guesswork and provides instant clarity.

Try it now and take control of your mechanical design calculations with ease.

FAQs

What is screw lead?

Screw lead is the distance the nut travels in one full rotation of the screw. It’s usually measured in millimeters per revolution (mm/rev).

What is the efficiency value?

Efficiency refers to how much of the input torque is converted into linear motion. Ball screws typically have higher efficiency (~0.9) compared to friction screws (~0.3).

Can I use this calculator for both metric and imperial units?

Currently, the calculator uses metric units (Nm for torque, mm for lead, N for force). You can convert imperial units to metric before input.

How accurate is the result?

The result is highly accurate if you enter precise values for torque, lead, and efficiency. For best results, use the actual measured or manufacturer-provided values.

Who can use this tool?

Engineers, mechanics, students, CNC operators, machine designers, and anyone involved in motion systems.