Public evidence

physics.dynamics.centripetal

Machine-checked verification for calculation version 1.0.0 · tier expert_verified

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· Uniform circular motion · Protocol · Schema · Production report

Declared partition coverage: PASS · 2/2 declared partitions (centripetal, invalid-domain)
Versions: Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity: 1/1 property · digest db703d9bf15d

Verification

Legacy regression suite: 4/4 calculation tests · Production surface contract 4/4

Three distinct suites: educational examples on the calculator page, this legacy regression count (4/4 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.0. CVP 1.0.0-proposed. 1/1 golden · 2/2 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract. digest db703d9bf15d.

Golden (oracle-backed) 1 / 1
CVP boundary 2 / 2
Invalid input 1 / 1
Property 1 / 1
Cross-interface 1 / 1
CVP contract 1 / 1
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:98aa50e9d852bf0295a38c389b1ee0e7fa9d9aa4066266f71e795e2d053f206d

Input schema sha256:464bdd4d43ecb73acfee27795537e54844f9357fc32dd59f99841523bcd28930 · Output schema sha256:4590ac40cc4adba6fe77348bf6ec9c2612089ac39b34962da74a65a0ab8e684a · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: centripetal
Engine: centripetal
Engine build: 2026-09-10
Evidence core: 2026-09-06T13:16:40.891Z
Rendered: 2026-09-16T22:03:43.763Z
Last reviewed: 2026-08-09

Limitations

Uniform circular motion; no banked-curve friction

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Intro physics / NIST units — standard relations
Supports: engine formulas
ISO 80000-4 — Mechanics — Centripetal acceleration
Supports: a=v²/r; F=m·a

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`f`	golden	pass	Expected F_N=50 · a_m_s2=25 · Actual mode=F · m_kg=2 · v_m_s=5 · r_m=1 · a_m_s2=25 · F_N=50
`bad`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-cent`	boundary	pass	Expected F_N=50 · Actual mode=F · m_kg=2 · v_m_s=5 · r_m=1 · a_m_s2=25 · F_N=50
`property-cent-a`	property	pass	20