Rotational Kinematics Solver implementation

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

t4-294

Effect

Computation or source lookup only

Input and validation requirements

The solver has a genuine undefined-result failure when alpha=0 and omega=omega0: time is 0/0 and theta is non-unique. It also has a branch-selection hazard because a valid input set can produce two nonnegative times and two angular velocities.

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": {
    "omega0": 2,
    "alpha": 3,
    "t": 4
  },
  "expected_outputs": {
    "omega": 14,
    "theta": 32
  },
  "working": "ω = ω0 + αt = 2 + 3×4 = 14 rad/s. θ = ω0t + ½αt² = 2×4 + ½×3×4² = 8 + 1.5×16 = 8 + 24 = 32 rad. Consistency check: ω² = 14² = 196; ω0² + 2αθ = 2² + 2×3×32 = 4 + 192 = 196."
}

Other records

Sources and evidence

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

• VERIFIED_LEDGER.json
• evidence-tranche4/tranche4-results.json