Torque Calculator
Calculate the torque (rotational force) produced by a force applied at a distance from a pivot point using τ = r × F × sin(θ). Essential for understanding rotation, levers, and mechanical systems.
This free online torque calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Enter your values below and see results update in real time as you type. Perfect for everyday calculations, homework, or professional use.
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Torque Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Torque Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
Formula Reference
Torque Calculator Formula
See calculator inputs for the governing equation
Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.
When to Use This Calculator
- •Use the Torque Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
- •Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
- •Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
- •Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.
About This Calculator
The Torque Calculator is a free, browser-based calculation tool for engineers, students, and technical professionals. Calculate the torque (rotational force) produced by a force applied at a distance from a pivot point using τ = r × F × sin(θ). Essential for understanding rotation, levers, and mechanical systems. It implements standard formulas and supports both metric (SI) and imperial unit systems with automatic unit conversion. All calculations are performed instantly in your browser with no data sent to a server. Use this calculator as a quick reference and sanity-check tool during design, analysis, and learning. Always verify results against primary engineering references and applicable standards for any safety-critical application.
About Torque Calculator
The Torque Calculator computes the rotational effect of a force applied at a distance from a pivot point. Torque is the rotational analog of force — just as force causes linear acceleration, torque causes angular acceleration. The magnitude depends on three factors: the force applied, the distance from the pivot (moment arm), and the angle of application. Maximum torque occurs when force is perpendicular to the lever arm (θ = 90°). Torque explains why long wrenches are easier to turn, why doors have handles far from hinges, and how engines generate rotational power.
The Math Behind It
Formula Reference
Torque
τ = rF sin θ
Variables: r = distance from pivot (m), F = force (N), θ = angle between r and F
Worked Examples
Example 1: Wrench on Bolt
30 cm wrench, 50 N force perpendicular
Torque of 15 N·m.
Example 2: Angled Force
0.5 m lever, 100 N at 60°
Torque of 43.3 N·m — less than if force were perpendicular (50 N·m).
Example 3: Door Push
0.9 m from hinge, 20 N push perpendicular
18 N·m — easy to open.
Common Mistakes & Tips
- !Using the full distance instead of the perpendicular distance (moment arm) when force is not at 90°.
- !Confusing torque (N·m) with energy (J) — they have the same units but different physical meanings.
- !Forgetting that torque is a vector with direction given by the right-hand rule.
- !Not accounting for multiple torques when analyzing equilibrium problems.
Related Concepts
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Frequently Asked Questions
Why are longer wrenches easier to use?
Torque = force × lever arm. A longer wrench increases r, so the same torque requires less force. A 0.3 m wrench needing 50 N becomes only 25 N with a 0.6 m wrench.
Is torque the same as moment?
In physics and most engineering contexts, torque and moment are used interchangeably. Some disciplines distinguish them: torque for rotating shafts, moment for static loading. The mathematics is identical.
How do car engines produce torque?
Combustion pressure pushes pistons down, which turn the crankshaft via connecting rods. The force on the piston times the crankshaft offset creates torque. Modern engines produce 200-500 N·m, with peak torque at mid-range RPM.