Source: https://guthlabs.ai/docs/instruments/uniform-circular-motion-calculator/implementation/

instrument implementation / implementation-contract

# Uniform Circular Motion Calculator implementation

A source-bound implementation contract for Uniform Circular Motion 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**: t3-011

**Effect**: Computation or source lookup only

## Input and validation requirements

The specification does not state validation for r=0, which makes a_c and F_c undefined and represents an invalid circular-motion state. It also does not define whether a signed v is treated as a directional velocity or as a nonnegative speed for T and f.

## 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": {
    "v": 10,
    "v_unit": "m/s",
    "r": 5,
    "r_unit": "m",
    "mass": 2,
    "mass_unit": "kg"
  },
  "expected_outputs": {
    "a_c": 20,
    "a_c_unit": "m/s^2",
    "F_c": 40,
    "F_c_unit": "N",
    "T": 3.1415926536,
    "T_unit": "s",
    "f": 0.3183098862,
    "f_unit": "Hz"
  },
  "working": "a_c=v²/r=10²/5=100/5=20 m/s². F_c=ma_c=2×20=40 N. T=2πr/v=2×π×5/10=π=3.1415926536 s. f=1/T=1/π=0.3183098862 Hz."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/uniform-circular-motion-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/uniform-circular-motion-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/uniform-circular-motion-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-tranche3/tranche3-results.json`