Source: https://guthlabs.ai/docs/instruments/physical-compound-pendulum-period-calculator/implementation/

instrument implementation / implementation-contract

# Physical (Compound) Pendulum Period Calculator implementation

A source-bound implementation contract for Physical (Compound) Pendulum Period 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**: t5-054

**Effect**: Computation or source lookup only

## Input and validation requirements

Inputs with d = 0 produce a zero denominator and are undefined, while a negative signed d produces a non-real square-root argument if interpreted literally. The supplied specification does not state input validation or an absolute-value convention.

## 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": {
    "I": 1,
    "m": 2,
    "d": 0.5
  },
  "expected_outputs": {
    "T": 2.006067
  },
  "working": "g=9.81 m/s². mgd=2×9.81×0.5=9.81. I/(mgd)=1.0/9.81=0.101936799. √(I/(mgd))=√0.101936799=0.319275428 s. T=2π×0.319275428=6.283185307×0.319275428=2.006067 s."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/physical-compound-pendulum-period-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/physical-compound-pendulum-period-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/physical-compound-pendulum-period-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-tranche5/tranche5-results.json`