Source: https://guthlabs.ai/docs/instruments/banked-curve-centripetal-force-calculator/implementation/

instrument implementation / implementation-contract

# Banked Curve / Centripetal Force Calculator implementation

A source-bound implementation contract for Banked Curve / Centripetal Force 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**: 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

[01**Overview**](<https://guthlabs.ai/docs/instruments/banked-curve-centripetal-force-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/banked-curve-centripetal-force-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/banked-curve-centripetal-force-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-tranche4/tranche4-results.json`