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Gear Force Calculator

Use our free online Gear Force Calculator to easily calculate gear force, torque, and speed using simple gear ratio formulas. Supports metric and imperial units. Ideal for spur and worm gears.

degrees
Common values: 14.5°, 20°, 25°

When dealing with gears, knowing the gear force is essential for mechanical design, maintenance, and power transmission. Whether you’re an engineer, mechanic, or a student working on gear systems, calculating the correct gear force helps ensure smooth operation and prevents gear failure.

That’s why we created the Gear Force Calculator – a free, easy-to-use online tool that helps you calculate gear force, torque, and gear ratio accurately in both metric and imperial units. No complex formulas or confusing terms – just input your values, and our calculator does the rest.

What Is Gear Force?

Gear force is the amount of force transmitted between two meshing gears. It directly depends on torque, radius, and speed. Understanding gear force helps in designing strong gear systems that won’t break or wear out quickly.

In a gear system, the gear ratio plays a key role in defining the output force and speed. The gear ratio tells us how many times one gear rotates compared to another.

Gear Force Formula (Metric and Imperial)

You can calculate the gear force using this simple formula:

Gear Force (F) = Torque (T) / Radius (r)

Where:

  • F is the gear force (in Newtons or pounds-force)
  • T is the torque applied to the gear (Nm or lb-ft)
  • r is the pitch radius of the gear (in meters or feet)

If you're calculating based on gear ratio and input/output speed:

Gear Ratio = Number of Teeth on Driven Gear / Number of Teeth on Driving Gear

Or using speed:

Gear Ratio = Input Speed / Output Speed

And to calculate output torque or force:

Output Torque = Input Torque × Gear Ratio

Output Force = Output Torque / Output Radius

These formulas work for all gear types, including spur gears and worm gears.

How to Use Our Gear Force Calculator Online

Using our Gear Force Calculator is very simple:

Step 1: Enter the Torque

Input the torque value (in Nm or lb-ft) applied to the gear.

Step 2: Enter the Gear Radius

Provide the pitch radius of the gear (in meters or feet).

Step 3: Click Calculate

Hit the “Calculate” button to get instant results.

The calculator will show:

  • Gear Force
  • Gear Ratio
  • Output Torque (if applicable)
  • Output Speed (if speed values are provided)

You can also switch between metric and imperial units based on your project needs.

Why Use Our Gear Force Calculator?

Our tool is designed for engineers, students, and mechanics who want quick and accurate gear force calculations without going deep into complex math.

It supports both spur gears and worm gears, and you can use it for general gear systems or specific speed and torque-related calculations.

It also acts as a Gear Ratio Speed Calculator, helping you understand how speed and torque change with different gear setups.

Final Verdict

Understanding gear force is a crucial part of working with mechanical gear systems. With our Gear Force Calculator, you don’t need to memorize complex formulas or perform lengthy calculations. Just plug in your values, and get the results instantly.

Whether you’re working on gear design, mechanical repair, or an academic project, this tool will save you time and help you make more accurate decisions.

Frequently Asked Questions (FAQs)

What is the gear force calculator used for?

It calculates the force transmitted between two meshing gears using torque and radius.

Can I use this calculator for worm gears?

Yes, it supports both spur gears and worm gear calculations.

Does the calculator work with metric and imperial units?

Yes, you can switch between Nm and lb-ft, and meters or feet for radius.

How accurate is the gear force result?

The calculator uses standard physics formulas for gear force and torque, ensuring high accuracy.

Can I calculate gear ratio and speed with this?

Absolutely. Just input the input and output gear values or speeds to get the ratio and torque.