The Mechanism · Gated-generation receipt

gen-explain-torque-and-angular-momentum-as-you-would-to-a-capabl-72d2

hold
2026-05-29 03:54:29 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain torque and angular momentum as you would to a capable student, in 3-4 sentences.
88 chars

Generation

# Torque and Angular Momentum **Torque** is the rotational equivalent of force—it's what causes objects to spin or change their rotation. Just as force equals mass times acceleration (F=ma), torque equals the moment of inertia times angular acceleration (τ=Iα), and it depends on both how hard you push and how far from the rotation axis you push. **Angular momentum** is the rotational equivalent of linear momentum—it's the "quantity of rotation" an object has. A spinning object keeps spinning (conserving its angular momentum L=Iω) unless a torque acts on it, which is why figure skaters spin faster when they pull their arms in (decreasing I means ω must increase to keep L constant).
30 tokens in · 167 tokens out · 4648 ms · $0.0026

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4653.9 ms
Base LLM
4647.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0026

Trail

03:54:29 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
03:54:29 red_gate decision=pass reason=no disqualifying input patterns detected
03:54:34 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=167 latency_ms=4647.9 cost_usd=0.0026
03:54:34 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:54:34 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:54:34 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:54:34 way_gate decision=wait reason=output contains coercion language: ['force']
03:54:34 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:54:34 signed hash_algo=sha256 hash=sha256:0e5df79a5a22d7897ec7293abb0c5767ba89306840181fc8dd3053c80e6070f1

Content hash

sha256:0e5df79a5a22d7897ec7293abb0c5767ba89306840181fc8dd3053c80e6070f1

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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