Banked Curve / Centripetal Force Calculator 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

t4-238

Effect

Computation or source lookup only

Input and validation requirements

The formula has an exact singularity when mu*tan(theta)=1, where the speed result is undefined and must be rejected. The instrument is also vulnerable to a degree-versus-radian angle interpretation error unless the angle unit is explicit.

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": {
    "mode": "frictionless_required_speed",
    "r_m": 100,
    "theta_deg": 30,
    "mu": 0
  },
  "expected_outputs": {
    "v_required_m_per_s": 23.8
  },
  "working": "tan(30 degrees)=0.577350. v=sqrt(g*r*tan(theta))=sqrt(9.81*100*0.577350)=sqrt(566.540)=23.80 m/s."
}

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