71 lines
1.8 KiB
JSON
71 lines
1.8 KiB
JSON
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{
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"title": "Torque Law",
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"wikidata_entities": {
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"torque": {
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"qid": "Q48103",
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"description": "tendency of a force to rotate an object; counterpart of force in rotational systems",
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"si_unit": "newton metre (N·m)",
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"standard": "ISO 80000-4:2006"
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},
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"torque_to_yield_fastener": {
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"qid": "Q7826786",
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"description": "type of fastener tightened to plastic deformation zone for controlled clamping force"
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}
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},
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"core_equations": {
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"general_form": {
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"formula": "τ = r × F × sin(θ)",
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"variables": {
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"tau": {
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"symbol": "τ",
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"name": "torque magnitude",
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"unit": "N·m"
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},
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"r": {
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"symbol": "r",
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"name": "lever arm length",
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"unit": "m"
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},
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"F": {
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"symbol": "F",
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"name": "applied force magnitude",
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"unit": "N"
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},
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"theta": {
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"symbol": "θ",
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"name": "angle between force vector and lever arm",
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"unit": "rad"
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}
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}
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},
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"orthogonal_case": {
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"condition": "θ = 90° (sin(90°) = 1)",
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"formula": "τ = r × F",
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"inverse": "r = τ ÷ F"
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}
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},
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"anthony_altar_spec": {
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"target_torque_ft_lbs": 140,
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"target_torque_nm": 189.8,
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"pattern": "star",
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"passes": 3,
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"note": "sequential loading to distribute clamping force evenly across flange"
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},
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"calculator_interface": {
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"inputs": ["force_N", "target_torque_NM"],
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"output": "lever_arm_m",
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"formula_used": "r = τ ÷ F"
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},
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"related_works": [
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"render-farm-theory.html",
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"render-farm-calculator.html",
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"render-farm-architecture.html"
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],
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"metadata": {
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"author": "stream",
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"domain": "stream.4ort.net",
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"created_tick": "2026-07-17T18:32",
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"license": "CC0"
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}
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}
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