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Physics calculator

Work and Power Calculator

Compute work W=Fs cosθ and power P=W/t or Fv. 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 (work, invalid-domain) · Matrix
Known limitations
  • Constant force work / average power
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
W=F s cosθ; P=W/t; P=F v.
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 92d405aa6d37
Legacy regression
3/3 tests · Production surface contract 3/3
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 — Work and power
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.

WorkW = F s cosθ
PowerP = W/t or F v
iSI units unless noted.

How to use

1

Enter force, distance, and angle

W = F s cosθ. Use θ = 0° when force is along the displacement.

2

Enter time if you need power

Power P = W / t when duration is provided.

3

Read work and power

Confirm joules and watts for SI consistency.

Example calculations

Common configurations with formula and result.

ϟ

Example

validation

—
F=10 s=2 → W=20 J

Work and Power 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
W=F s cosθ; P=W/t; P=F v.
What it calculates
W=F s cosθ; P=W/t; P=F v.
Inputs
  • see form
Outputs
  • see API
Formula
see formulas
Assumptions
  • Documented on page
Units
  • SI
Boundary conditions
  • coded hard errors
Example
F=10 s=2 → W=20 J
Validation cases

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

  • see suite → W=20
Sources
  • Intro physics / NIST units — standard relations
    Supports: engine formulas
  • ISO 80000-4 — Mechanics — Work and power
    Supports: W=F·s·cosθ; P=W/t
Last reviewed
2026-08-09
Reviewed by
CalculatorX physics review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

W=F s cosθ; P=W/t; P=F v.

Supported and not supported

Supported — API physics.dynamics.work_power

Not supported — variable force paths

Agent / API notes

Capability id: physics.dynamics.work_power · tool id: work-power · pin 1.0.0.

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

F Force F=ma › θ Projectile ›
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Frequently asked questions

Key distinctions behind the calculation.

Can time be zero for power?

No — VALUE_MUST_BE_POSITIVE.