{"id":100046,"date":"2026-02-15T20:09:10","date_gmt":"2026-02-15T20:09:10","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100046"},"modified":"2026-07-11T22:06:41","modified_gmt":"2026-07-11T22:06:41","slug":"brake-torque-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/hr\/calculators\/brake-torque-calculator\/","title":{"rendered":"Brake Torque Arithmetic | Inertia and Defined Disc Force"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Brake Torque Arithmetic Calculator\",\"description\":\"Calculate an inertia-only constant-deceleration torque component or disc torque from explicitly defined total normal or tangential force. No brake selection or safety factor is generated.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/brake-torque-calculator\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-11\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Is J times angular deceleration the required brake rating?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. It is only the inertial torque component under the stated constant-deceleration assumption. Load torque, gearing, switching delay, torque build-up, peaks, duty and thermal capacity must be handled in the complete brake design.\"}},{\"@type\":\"Question\",\"name\":\"When is a factor of two used for a disc brake?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Only when the force variable is normal force per pad for two equal active interfaces. This calculator instead asks for total normal force summed across all active interfaces, so it does not multiply by a surface count.\"}},{\"@type\":\"Question\",\"name\":\"Can the calculated energy select a brake?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. The displayed kinetic-energy change and mean rate do not establish permissible energy per stop, operating temperature, cycles per hour or pad life.\"}}]}<\/script>\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Brake Torque Arithmetic\",\"item\":\"https:\/\/vibromera.eu\/calculators\/brake-torque-calculator\/\"}]}<\/script>\r\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\r\n<style>:root{--vc-bg:#f4f1ec;--vc-surface:#fff;--vc-surface-alt:#f8f6f2;--vc-ink:#1a1a1a;--vc-ink-secondary:#5a5650;--vc-ink-muted:#8a857e;--vc-accent:#c85a2a;--vc-accent-hover:#b04d22;--vc-accent-light:#fdf0ea;--vc-blue:#2a5c8c;--vc-blue-light:#eaf1f8;--vc-green:#2a7a4b;--vc-green-light:#eaf8ef;--vc-yellow:#a67c00;--vc-yellow-light:#fef9e8;--vc-red:#b91c1c;--vc-red-light:#fef2f2;--vc-border:#d9d4cc;--vc-border-light:#e8e4dd;--vc-shadow:0 1px 3px rgba(26,26,26,.06),0 4px 12px rgba(26,26,26,.04);--vc-radius:8px;--vc-radius-lg:12px;--vc-font:'DM Sans',-apple-system,BlinkMacSystemFont,'Segoe UI',sans-serif;--vc-mono:'JetBrains Mono','Consolas','Monaco',monospace;--vc-display:'Fraunces',Georgia,serif}.vc-calculator{font-family:var(--vc-font);font-size:15px;line-height:1.65;color:var(--vc-ink);max-width:960px;margin:0 auto;padding:20px 16px 40px;-webkit-font-smoothing:antialiased}.vc-calculator *,.vc-calculator *::before,.vc-calculator 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a:hover{text-decoration:underline}.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}@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}}<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-brake-torque\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Scoped mechanical arithmetic<\/p><h1 class=\"vc-header-title\">Brake Torque Arithmetic Calculator<\/h1><p class=\"vc-header-subtitle\">Evaluate an inertia-only constant-deceleration component or a disc-friction torque with an explicitly defined force. This page does not select or rate a brake.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Defined force basis<\/span><span class=\"vc-badge\">No generic safety factor<\/span><span class=\"vc-badge\">Not thermal sizing<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><div class=\"vc-unit-bar\"><button type=\"button\" class=\"vc-unit-btn vc-active\" data-mode=\"inertia\">Inertia-only stop<\/button><button type=\"button\" class=\"vc-unit-btn\" data-mode=\"disc\">Disc friction<\/button><\/div><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\r\n<div class=\"vc-form-grid\" id=\"vc-inertia\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-j\">Equivalent inertia at brake shaft J <span class=\"vc-label-hint\">(kg\u00b7m\u00b2)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-j\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-n0\">Initial brake-shaft speed n\u2080 <span class=\"vc-label-hint\">(rpm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-n0\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-n1\">Final brake-shaft speed n\u2081 <span class=\"vc-label-hint\">(rpm; zero allowed)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-n1\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-time\">Specified deceleration interval \u0394t <span class=\"vc-label-hint\">(s)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-time\" inputmode=\"decimal\"><\/div><\/div>\r\n<div class=\"vc-form-grid\" id=\"vc-disc\" style=\"display:none\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-force-basis\">Force definition<\/label><select class=\"vc-select\" id=\"vc-force-basis\"><option value=\"normal\">Total normal force \u03a3N across all active interfaces<\/option><option value=\"tangential\">Total tangential braking force Fb<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-force\">Entered force <span class=\"vc-label-hint\">(N)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-force\" inputmode=\"decimal\"><\/div><div class=\"vc-field\" id=\"vc-mu-field\"><label class=\"vc-label\" for=\"vc-mu\">Qualified friction coefficient \u03bc<\/label><input class=\"vc-input\" type=\"text\" id=\"vc-mu\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius\">Effective friction radius r\u2091 <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-radius\" inputmode=\"decimal\"><\/div><\/div>\r\n<div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Input boundary:<\/strong> refer inertia, speed, torque and loads to the brake shaft. Use the brake maker&#8217;s effective radius and force definition. Do not substitute disc outer radius, actuator force or catalogue \u201cbraking force\u201d without checking its definition.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Arithmetic results<\/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\" id=\"vc-main-label\">Torque<\/div><div class=\"vc-rcard-value\" id=\"vc-r-torque\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\" id=\"vc-secondary-label\">Angular deceleration magnitude<\/div><div class=\"vc-rcard-value\" id=\"vc-r-secondary\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Rotational kinetic-energy change<\/div><div class=\"vc-rcard-value\" id=\"vc-r-energy\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Mean kinetic-energy change rate<\/div><div class=\"vc-rcard-value\" id=\"vc-r-power\">\u2014<\/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 and design boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>Inertia-only constant deceleration<\/h3><div class=\"vc-formula-box\">|\u03b1| = 2\u03c0(n\u2080 \u2212 n\u2081)\/(60\u0394t); &nbsp; T\u1d62 = J|\u03b1|<\/div><div class=\"vc-formula-box\">\u0394E = \u00bdJ(\u03c9\u2080\u00b2 \u2212 \u03c9\u2081\u00b2); &nbsp; P\u0304 = \u0394E\/\u0394t<\/div><p>J must be the total equivalent inertia referred to the brake shaft. T\u1d62 excludes external\/load torque and assumes the requested speed change is linear over the entered interval. \u0394E is the decrease in rotational kinetic energy represented by J, not automatically the heat absorbed by one brake.<\/p>\r\n<h3>Disc-friction force definitions<\/h3><div class=\"vc-formula-box\">normal-force basis: T = \u03bc(\u03a3N\u1d62)r\u2091<\/div><div class=\"vc-formula-box\">tangential-force basis: T = F\u1d66r\u2091<\/div><p>The <a href=\"https:\/\/www.twiflex.com\/-\/media\/project\/altramotion\/shared\/files\/literature\/brand\/twiflex-limited\/catalogs\/p-1648-tf.pdf?rev=920b53b1879149a08c1962382d264058\" target=\"_blank\" rel=\"noopener\">Twiflex industrial disc-brake catalogue<\/a> defines clamping force Fn as force on each pad, gives Fb = 2\u03bcFn for two equal pads and then torque as Fb\u00b7r\u2091. Here \u03a3N\u1d62 already means the sum across active interfaces, so no extra surface multiplier is applied. If the source already gives tangential braking force, choose that basis and do not multiply by \u03bc again.<\/p>\r\n<h3>Why this is not brake selection<\/h3><p>The <a href=\"https:\/\/www.stromag.com\/-\/media\/Project\/Altramotion\/shared\/files\/Literature\/brand\/stromag\/catalogs\/p-8357-sg-a4.pdf?rev=a39ddcb69438481989cc60f2d90f4507\" target=\"_blank\" rel=\"noopener\">Stromag NFF catalogue<\/a> requires all inertias and torques to be referred to the brake shaft, includes load-torque direction, and distinguishes switching delay, torque build-up and dynamic torque. It also says torque-only selection is insufficient and heat capacity must be checked.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Not modelled:<\/strong> load\/holding torque, gravity direction, gearing losses, motor regenerative torque, switching and build-up time, dynamic friction change, peak\/shock loads, multiple brakes, duty cycle, energy per stop, heat rejection, wear, statutory requirements or functional safety. Establish margins from the complete application and governing requirements; this calculator supplies none.<\/p><\/div><\/div><\/div><\/div>\r\n<div class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Scoped arithmetic only; not a brake rating, selection or safety factor. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';var mode='inertia';function $(i){return document.getElementById(i)}function p(raw,zero){var s=String(raw).trim().replace(\/\\s+\/g,'');if(!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;var n=Number(s.replace(',','.'));return Number.isFinite(n)&&(zero?n>=0:n>0)?n:NaN}function f(n){return n.toFixed(6).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function unit(n,u,ku){return n>=1000&&ku?f(n\/1000)+' '+ku:f(n)+' '+u}function calc(){if(mode==='inertia'){var J=p($('vc-j').value),n0=p($('vc-n0').value),n1=p($('vc-n1').value,true),t=p($('vc-time').value);if(![J,n0,n1,t].every(Number.isFinite)||n1>=n0){$('vc-results').classList.remove('vc-visible');return}var w0=2*Math.PI*n0\/60,w1=2*Math.PI*n1\/60,a=(w0-w1)\/t,T=J*a,E=.5*J*(w0*w0-w1*w1),P=E\/t;$('vc-main-label').textContent='Inertia-only deceleration torque component';$('vc-r-torque').innerHTML=f(T)+' <span class=\"vc-rcard-unit\">N\u00b7m<\/span>';$('vc-secondary-label').textContent='Angular deceleration magnitude';$('vc-r-secondary').innerHTML=f(a)+' <span class=\"vc-rcard-unit\">rad\/s\u00b2<\/span>';$('vc-r-energy').innerHTML=unit(E,'J','kJ');$('vc-r-power').innerHTML=unit(P,'W','kW');$('vc-r-note').textContent='Constant-deceleration arithmetic only: external\/load torque, switching behavior and thermal capacity are excluded.';setUrl({calc_mode:mode,equivalent_inertia_kgm2:J,initial_speed_rpm:n0,final_speed_rpm:n1,deceleration_time_s:t})}else{var basis=$('vc-force-basis').value,F=p($('vc-force').value),r=p($('vc-radius').value),mu=basis==='normal'?p($('vc-mu').value):1;if(![F,r,mu].every(Number.isFinite)){$('vc-results').classList.remove('vc-visible');return}var Fb=basis==='normal'?mu*F:F,Td=Fb*r\/1000;$('vc-main-label').textContent='Disc torque from entered '+(basis==='normal'?'total normal force':'tangential braking force');$('vc-r-torque').innerHTML=f(Td)+' <span class=\"vc-rcard-unit\">N\u00b7m<\/span>';$('vc-secondary-label').textContent='Tangential braking force';$('vc-r-secondary').innerHTML=f(Fb)+' <span class=\"vc-rcard-unit\">N<\/span>';$('vc-r-energy').textContent='\u2014';$('vc-r-power').textContent='\u2014';$('vc-r-note').textContent=basis==='normal'?'\u03a3N already includes every active interface; no surface-count multiplier is applied.':'Entered Fb is already tangential; \u03bc is not applied.';var d={calc_mode:mode,force_basis:basis,entered_force_n:F,effective_radius_mm:r};if(basis==='normal')d.friction_coefficient=mu;setUrl(d)}$('vc-results').classList.add('vc-visible')}function setUrl(values){var u=new URL(location);['equivalent_inertia_kgm2','initial_speed_rpm','final_speed_rpm','deceleration_time_s','force_basis','entered_force_n','friction_coefficient','effective_radius_mm'].forEach(function(k){u.searchParams.delete(k)});Object.keys(values).forEach(function(k){u.searchParams.set(k,values[k])});history.replaceState(null,'',u.toString())}function switchMode(next){mode=next;$('vc-inertia').style.display=mode==='inertia'?'':'none';$('vc-disc').style.display=mode==='disc'?'':'none';document.querySelectorAll('.vc-unit-btn').forEach(function(b){b.classList.toggle('vc-active',b.dataset.mode===mode)});calc()}document.querySelectorAll('.vc-unit-btn').forEach(function(b){b.addEventListener('click',function(){switchMode(this.dataset.mode)})});$('vc-force-basis').addEventListener('change',function(){$('vc-mu-field').style.display=this.value==='normal'?'':'none';calc()});$('vc-form').addEventListener('input',calc);$('vc-form').addEventListener('change',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var q=[['Is J|\u03b1| the required brake rating?','No. It is only the inertia-only component under a constant-deceleration assumption.'],['When is a factor of two used?','When the input is per-pad normal force for two equal interfaces. Enter their summed normal force here instead.'],['Can energy and mean rate select a brake?','No. Check the maker\u2019s permissible energy, duty, temperature and wear limits.']];var l=$('vc-faq-list');q.forEach(function(v){l.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\">'+v[0]+'<\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\"><p>'+v[1]+'<\/p><\/div><\/div><\/div>'});l.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});var z=new URLSearchParams(location.search),m={equivalent_inertia_kgm2:'vc-j',initial_speed_rpm:'vc-n0',final_speed_rpm:'vc-n1',deceleration_time_s:'vc-time',force_basis:'vc-force-basis',entered_force_n:'vc-force',friction_coefficient:'vc-mu',effective_radius_mm:'vc-radius'};Object.keys(m).forEach(function(k){if(z.has(k))$(m[k]).value=z.get(k)});var requested=z.get('calc_mode');if(requested==='disc')mode='disc';$('vc-mu-field').style.display=$('vc-force-basis').value==='normal'?'':'none';switchMode(mode)})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Calculate an inertia-only constant-deceleration torque component or disc torque from explicitly defined total normal or tangential force; no automatic brake rating or safety factor.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100046","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100046","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100046\/revisions"}],"predecessor-version":[{"id":102337,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100046\/revisions\/102337"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/media?parent=100046"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/categories?post=100046"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/tags?post=100046"}],"curies":[{"name":"radni list","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}