Source: https://guthlabs.ai/docs/instruments/angular-momentum-calculator/

instrument / verified-clean

# Angular Momentum Calculator

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Inspectable records

[01**Overview**Purpose and lifecycle](<https://guthlabs.ai/docs/instruments/angular-momentum-calculator/>)[02**Mechanism**Method and assumptions](<https://guthlabs.ai/docs/instruments/angular-momentum-calculator/mechanism/>)[03**Implementation**Binding and validation](<https://guthlabs.ai/docs/instruments/angular-momentum-calculator/implementation/>)[04**Qualification**Evidence and errata](<https://guthlabs.ai/docs/instruments/angular-momentum-calculator/qualification/>)

## Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

**Area**: Physics — Kinematics/Projectiles/Orbits, Forces/Energy/Momentum, Rotational Dynamics, Gravitation, Oscillations/Waves, Optics, E&M Fields, Relativity, Quantum, Statistical Thermo

**Tranche**: tranche-5

**Evidence ID**: t5-021

**Ledger rows**: 1

No ledger note is attached.

## Review findings

The exact ambiguities are: units for I and ω are unspecified; the scalar-versus-vector meaning of angular momentum is unspecified; and the conditions under which angular momentum is conserved, especially zero external torque and a common fixed axis, are not stated. The honest label should not present conservation as unconditional.

### Formula and scope findings

- L=Iω is correct only for rotation about a fixed axis when I is the scalar moment of inertia about that axis; general angular momentum is a vector and may require H=I_tensor·ω.

- I1ω1=I2ω2 is correct only when the net external torque about the relevant axis is zero and both angular velocities and moments of inertia refer to the same axis.

- The input specification does not define units for I or ω, so numerical results are ambiguous without an explicit unit convention.

### Unit assumptions

- I is expressed in kg·m² unless explicitly converted from another unit.

- ω is expressed in rad/s; radians are dimensionless for unit analysis.

- L is expressed in kg·m²/s.

- Conservation calculations use a common fixed axis and signed angular velocities; opposite directions require signs, not magnitudes alone.

## Boundary hardening

**BREAK_CLAIMED** · SELF_FLAGGED

The conservation calculation is undefined when I2 = 0. A plain-arithmetic implementation may return +Infinity instead of rejecting the input, so zero-denominator validation is required.

## Errata and corrections

No applied erratum is attached to this unique-name record.

## Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

````
{
  "inputs": {
    "mode": "angular_momentum",
    "I": 3.2,
    "I_unit": "kg·m²",
    "omega": 2.5,
    "omega_unit": "rad/s"
  },
  "expected_outputs": {
    "L": 8,
    "L_unit": "kg·m²/s"
  },
  "working": "L=Iω=3.2 kg·m² × 2.5 rad/s=8.0 kg·m²/s."
}
````

## Related workflows

No source-defined multi-instrument workflow membership is recorded.

## Sources and evidence

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

- `VERIFIED_LEDGER.json · VERIFIED_CLEAN`

- `evidence-tranche5/tranche5-results.json`

- `BOUNDARY_HAZARD_CATALOG.json`