Torque Calculator Guide

What is the Torque Calculator?

The Torque Calculator is a specialized tool that computes rotational force (torque) based on three key inputs: distance, force, and angle. Designed for engineers, mechanics, and physics enthusiasts, it helps:
✔ Solve torque problems in mechanical systems.
✔ Compare units across different measurement systems.
✔ Verify calculations for DIY projects or academic work.

Key Features

Comprehensive Unit Support:
Distance: meters, centimeters, inches, feet, etc.
Force: newtons, kilonewtons, pounds-force, etc.
Angle: degrees, radians, gradians, turns, etc.
Torque Output: newton-meters, pound-feet, kgf-cm, etc.
Real-Time Calculation: Updates results as you type.
Formula Display: Shows τ = r × F × sinθ for clarity.
Responsive Design: Works on all devices.
Shareable Results: Export calculations via social media.

Why Use This Tool?

Accuracy: Handles complex unit conversions automatically.
Educational: Demonstrates the relationship between force, distance, and angle.
Practical Applications:
Automotive work (e.g., bolt tightening).
Mechanical engineering designs.
Physics problem-solving.
No Installation: Runs entirely in your browser.

How to Use the Calculator

1. Enter Input Values

Distance (r): The lever arm length (e.g., wrench length).
Force (F): The applied force (e.g., push/pull strength).
Angle (θ): The angle between force and lever arm (default: 90° for max torque).

2. Select Units

Choose from dropdown menus for each input and output.

3. View Results

The Torque Value updates instantly in your selected unit.
The formula τ = r × F × sinθ is applied automatically.

4. Share or Reset

Share: Send results via Facebook, Twitter, or LinkedIn.
Reset: Clear all inputs to start over.

Example Calculation

Scenario: Tightening a bolt with a 0.5-meter wrench at 90°:

Distance: 0.5 meters
Force: 100 newtons
Angle: 90 degrees
Result: 50 N-m (newton-meters)

(Note: Torque is maximized at 90° since sin(90°) = 1.)

Frequently Asked Questions

Why does torque depend on angle?

Torque is maximized when force is perpendicular to the lever arm (θ = 90°). At 0° or 180°, torque is zero because sin(0°) = 0.

Can I use imperial and metric units together?

Yes! The tool auto-converts all units to a common base for calculation.

What’s the difference between N-m and J/rad?

N-m: Standard torque unit.
J/rad: Used in rotational systems (1 N-m = 1 J/rad).

How do I calculate torque for non-90° angles?

Input the actual angle (e.g., 45°). The calculator computes sin(θ) internally.

What’s the minimum/maximum angle allowed?

Angles are capped at 0°–360° for physical relevance.

About This Tool

We created this calculator to simplify torque calculations for:

Engineers designing mechanical systems.
Students learning rotational dynamics.
DIYers working on projects (e.g., automotive repairs).

Disclaimer: For educational and estimation purposes. Always verify critical calculations with professional tools.

Ready to Calculate?

Try the tool above! For feedback, share it with colleagues or classmates.