HomeCalculatorsPhysicsTorque Calculator
Physics calculator

Torque Calculator

Compute torque τ = r F sinθ. Runs locally in your browser.

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 2/2 declared partitions (torque, invalid-domain) · Matrix
Known limitations
  • Planar torque; angle in (0,180]
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
τ = r · F · sinθ (default θ=90°).
Scope
Documented on page
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
1/1 property · digest 9e7d74d5e45c
Legacy regression
3/3 tests · Production surface contract 4/4
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass
Named expert review
Not performed
CVP suite
1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Intro physics / NIST units — standard relations
  • ISO 80000-4 — Mechanics — Moment of force / torque
Sources
Evidence
1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX physics review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

Torqueτ = r F sinθ
iSI units unless noted.

How to use

1

Enter force and lever arm

F and r must be greater than zero for a non-zero torque magnitude.

2

Enter angle if not perpendicular

θ is the angle between r and F; use 90° when force is perpendicular.

3

Read torque

τ = r F sinθ.

Example calculations

Common configurations with formula and result.

ϟ

Example

validation

—
r=0.5 F=10 → τ=5 N·m

Torque calculator specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09

Calculation status

Review policy · Evidence · Reviewed by CalculatorX physics review

Definition
τ = r · F · sinθ (default θ=90°).
What it calculates
τ = r · F · sinθ (default θ=90°).
Inputs
  • see form
Outputs
  • see API
Formula
see formulas
Assumptions
  • Documented on page
Units
  • SI
Boundary conditions
  • coded hard errors
Example
r=0.5 F=10 → τ=5 N·m
Validation cases

1 published on this page · 3/3 tests · Production surface contract 4/4 · View evidence

  • see suite → τ=5
Sources
  • Intro physics / NIST units — standard relations
    Supports: engine formulas
  • ISO 80000-4 — Mechanics — Moment of force / torque
    Supports: τ = r·F·sinθ
Last reviewed
2026-08-09
Reviewed by
CalculatorX physics review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

τ = r · F · sinθ (default θ=90°).

Supported and not supported

Supported — API physics.dynamics.torque

Not supported — 3D moments, distributed loads

Agent / API notes

Capability id: physics.dynamics.torque · tool id: torque · pin 1.0.0.

Other calculators in this family: Force F=ma, Projectile .

F Force F=ma › θ Projectile ›
}

Frequently asked questions

Key distinctions behind the calculation.

What angles are allowed?

Angle must be in (0°, 180°].