Source: https://guthlabs.ai/docs/instruments/moment-of-inertia-lookup-calculator/implementation/

instrument implementation / implementation-contract

# Moment of Inertia Lookup & Calculator implementation

A source-bound implementation contract for Moment of Inertia Lookup & Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t6-027

**Effect**: Computation or source lookup only

## Input and validation requirements

The extreme-magnitude disk input produces Infinity in ordinary IEEE-754 JavaScript arithmetic. Without finite-value validation or an overflow warning, the calculator can return a nonphysical non-finite result.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "shape": "uniform thin disk",
    "M_kg": 2.4,
    "R_m": 0.5,
    "d_m": 0.3,
    "axis": "parallel to central symmetry axis, offset by d"
  },
  "expected_outputs": {
    "I_cm_kg_m2": 0.3,
    "I_about_offset_axis_kg_m2": 0.516
  },
  "working": "I_cm = 1/2 MR² = 1/2 × 2.4 × (0.5)² = 1.2 × 0.25 = 0.300 kg·m². Md² = 2.4 × (0.3)² = 2.4 × 0.09 = 0.216 kg·m². I = I_cm + Md² = 0.300 + 0.216 = 0.516 kg·m²."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/moment-of-inertia-lookup-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/moment-of-inertia-lookup-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/moment-of-inertia-lookup-calculator/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche6/tranche6-results.json`