{"id":100067,"date":"2026-02-15T20:14:44","date_gmt":"2026-02-15T20:14:44","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100067"},"modified":"2026-07-12T00:13:34","modified_gmt":"2026-07-12T00:13:34","slug":"coupling-torque-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/ar\/calculators\/coupling-torque-calculator\/","title":{"rendered":"\u0622\u0644\u0629 \u062d\u0633\u0627\u0628 \u0639\u0632\u0645 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 \u0644\u0644\u0639\u0645\u0648\u062f \u0648\u0627\u0644\u0630\u0631\u0627\u0639 \u0627\u0644\u0631\u0627\u0641\u0639\u0629 | \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u062f\u0642\u064a\u0642\u0629 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0648\u062d\u062f\u0627\u062a \u0627\u0644\u062f\u0648\u0644\u064a (SI)"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Shaft and 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16px;font-size:13px;color:var(--vc-ink-muted)}\r\n.vc-footer a{color:var(--vc-accent);text-decoration:none}.vc-footer a:hover{text-decoration:underline}\r\n.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}\r\n@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}\r\n<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-torque\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">General mechanics<\/p><h1 class=\"vc-header-title\">Shaft and Lever-Arm Torque Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate steady torque from power and rotational speed, or from a tangential force and radius. An optional multiplier is applied only when you provide its traceable source.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Exact P\/\u03c9 relation<\/span><span class=\"vc-badge\">Exact F\u00b7r relation<\/span><span class=\"vc-badge\">No generic service-factor table<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-form-grid\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-power\">Transmitted power P <span class=\"vc-label-hint\">(kW; optional pair)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-power\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-speed\">Rotational speed n <span class=\"vc-label-hint\">(r\/min)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-speed\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-factor\">User-supplied multiplier K <span class=\"vc-label-hint\">(optional; &gt;0)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-factor\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-factor-source\">Multiplier source \/ duty definition<\/label><input class=\"vc-input\" type=\"text\" id=\"vc-factor-source\" maxlength=\"240\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-force\">Tangential force F <span class=\"vc-label-hint\">(N; optional pair)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-force\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius\">Perpendicular radius r <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-radius\" inputmode=\"decimal\"><\/div><\/div><p id=\"vc-error\" role=\"alert\" style=\"margin:.75rem 0 0;color:#b42318\"><\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Not coupling selection:<\/strong> calculated steady\/factored torque does not establish coupling rating. Verify actual start\/stop and transient torque, torsional vibration, fatigue\/reversals, speed, misalignment, thermal\/environmental conditions, bore\/key\/spline capacity, guards and the manufacturer\/application standard.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Torque arithmetic<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\"><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Steady torque from P,n<\/div><div class=\"vc-rcard-value\" id=\"vc-r-power\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Angular velocity<\/div><div class=\"vc-rcard-value\" id=\"vc-r-omega\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Power torque conversions<\/div><div class=\"vc-rcard-value\" id=\"vc-r-power-conv\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Torque after supplied K<\/div><div class=\"vc-rcard-value\" id=\"vc-r-factored\">Not calculated<\/div><\/div><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Torque from F,r<\/div><div class=\"vc-rcard-value\" id=\"vc-r-force\">Not calculated<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Force torque conversions<\/div><div class=\"vc-rcard-value\" id=\"vc-r-force-conv\">Not calculated<\/div><\/div><\/div><p id=\"vc-r-note\" style=\"margin:0;color:var(--vc-ink-secondary)\"><\/p><\/div><\/div>\r\n<div class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Equations, units and scope<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><div class=\"vc-formula-box\">\u03c9=2\u03c0n\/60; &nbsp; T=P\/\u03c9=60000P<sub>kW<\/sub>\/(2\u03c0n)<\/div><div class=\"vc-formula-box\">T=F r<sub>mm<\/sub>\/1000; &nbsp; T<sub>K<\/sub>=K T<\/div><p>The familiar coefficient is 60000\/(2\u03c0)=9549.296596\u2026; using the exact expression avoids rounding the coefficient to 9549. These are general mechanics equations, not coupling-standard sizing formulas.<\/p><p>The <a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-chapter-4-two-classes-si-units-and-si-prefixes\" target=\"_blank\" rel=\"noopener\">NIST Guide to SI<\/a> identifies watt, rad\/s and N\u00b7m as the relevant derived units. Its <a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-appendix-b-conversion-factors\/nist-guide-si-appendix-b9\" target=\"_blank\" rel=\"noopener\">conversion appendix<\/a> gives 1 lbf\u00b7ft=1.355818 N\u00b7m and standard gravity fixes kgf conversions.<\/p><p><a href=\"https:\/\/www.iso.org\/standard\/35107.html\" target=\"_blank\" rel=\"noopener\">ISO 10441:2007<\/a> applies to specified special-purpose flexible couplings in petroleum\/petrochemical\/gas service and explicitly does not define criteria for selecting coupling types. Its scope cannot justify a universal service-factor lookup for every coupling.<\/p><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Steady and user-factored torque arithmetic only; not coupling selection. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}function raw(v){var s=String(v).trim().replace(\/\\s+\/g,'');if(!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;return Number(s.replace(',','.'))}function nn(v){var x=raw(v);return Number.isFinite(x)&&x>=0?x:NaN}function pos(v){var x=raw(v);return Number.isFinite(x)&&x>0?x:NaN}function f(x){return x.toFixed(9).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function calc(){var pr=$('vc-power').value.trim(),nr=$('vc-speed').value.trim(),kr=$('vc-factor').value.trim(),src=$('vc-factor-source').value.trim(),fr=$('vc-force').value.trim(),rr=$('vc-radius').value.trim(),pPair=pr!==''||nr!=='',fPair=fr!==''||rr!=='',kPair=kr!==''||src!=='',P=pPair?nn(pr):null,n=pPair?pos(nr):null,K=kPair?pos(kr):null,F=fPair?nn(fr):null,r=fPair?pos(rr):null,any=[pr,nr,kr,src,fr,rr].some(function(x){return x!==''});if((pPair&&(!Number.isFinite(P)||!Number.isFinite(n)))||(fPair&&(!Number.isFinite(F)||!Number.isFinite(r)))||(kPair&&(!Number.isFinite(K)||!src))||(kPair&&!pPair)||(!pPair&&!fPair)){ $('vc-error').textContent=any?'Provide complete valid P\/n and\/or F\/r pairs; K>0 requires its source and a valid P\/n pair.':'';$('vc-results').classList.remove('vc-visible');return}$('vc-error').textContent='';var T=null;if(pPair){var w=2*Math.PI*n\/60;T=P*1000\/w;$('vc-r-power').textContent=f(T)+' N\u00b7m';$('vc-r-omega').textContent=f(w)+' rad\/s';$('vc-r-power-conv').textContent=f(T\/1.355818)+' lbf\u00b7ft; '+f(T*100\/9.80665)+' kgf\u00b7cm';$('vc-r-factored').textContent=kPair?f(K*T)+' N\u00b7m':'Not calculated'}else{$('vc-r-power').textContent='Not calculated';$('vc-r-omega').textContent='Not calculated';$('vc-r-power-conv').textContent='Not calculated';$('vc-r-factored').textContent='Not calculated'}if(fPair){var Tf=F*r\/1000;$('vc-r-force').textContent=f(Tf)+' N\u00b7m';$('vc-r-force-conv').textContent=f(Tf\/1.355818)+' lbf\u00b7ft; '+f(Tf*100\/9.80665)+' kgf\u00b7cm'}else{$('vc-r-force').textContent='Not calculated';$('vc-r-force-conv').textContent='Not calculated'}$('vc-r-note').textContent=kPair?'Multiplier source: '+src:'No application multiplier applied.';$('vc-results').classList.add('vc-visible');var u=new URL(location),v={};[['power_kw',P,pPair],['speed_rpm',n,pPair],['application_multiplier',K,kPair],['multiplier_source',src,kPair],['tangential_force_n',F,fPair],['perpendicular_radius_mm',r,fPair]].forEach(function(x){if(x[2])u.searchParams.set(x[0],x[1]);else u.searchParams.delete(x[0])});history.replaceState(null,'',u.toString())}$('vc-form').addEventListener('input',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var p=new URLSearchParams(location.search),map={power_kw:'vc-power',speed_rpm:'vc-speed',application_multiplier:'vc-factor',multiplier_source:'vc-factor-source',tangential_force_n:'vc-force',perpendicular_radius_mm:'vc-radius'};Object.keys(map).forEach(function(k){if(p.has(k))$(map[k]).value=p.get(k)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Calculate steady torque from power\/speed or tangential force\/radius, with an optional user-supplied sourced multiplier; no generic coupling service-factor table.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100067","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/calculator\/100067","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/calculator\/100067\/revisions"}],"predecessor-version":[{"id":102357,"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/calculator\/100067\/revisions\/102357"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/media?parent=100067"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/categories?post=100067"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/ar\/wp-json\/wp\/v2\/tags?post=100067"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}