{"id":100088,"date":"2026-02-15T20:17:34","date_gmt":"2026-02-15T20:17:34","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100088"},"modified":"2026-07-12T03:16:16","modified_gmt":"2026-07-12T03:16:16","slug":"fan-blade-centrifugal-force","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/pt\/calculators\/fan-blade-centrifugal-force\/","title":{"rendered":"Fan Blade Radial Inertial Force Calculator"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Fan Blade Radial Inertial Force Calculator\",\"description\":\"Calculate the ideal centripetal-force magnitude for a blade mass at its radial centre of mass, acceleration, tangential speed and optional true tip speed; vector bearing force is not inferred.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/fan-blade-centrifugal-force\/\",\"applicationCategory\":\"Engineering 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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-fan-force\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Uniform circular-motion model<\/p><h1 class=\"vc-header-title\">Fan Blade Radial Inertial Force Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate the centripetal-force magnitude required for a blade mass represented at its radial centre of mass. Bearing unbalance, blade stress and allowable speed are deliberately not inferred.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">F = m r \u03c9\u00b2<\/span><span class=\"vc-badge\">CG and tip radii separated<\/span><span class=\"vc-badge\">No design approval<\/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-mass\">Blade mass <span class=\"vc-label-hint\">(kg)<\/span><\/label><input class=\"vc-input\" id=\"vc-mass\" inputmode=\"decimal\" type=\"text\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius\">Radial centre-of-mass radius <span class=\"vc-label-hint\">(mm from rotation axis)<\/span><\/label><input class=\"vc-input\" id=\"vc-radius\" inputmode=\"decimal\" type=\"text\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-speed\">Rotational speed <span class=\"vc-label-hint\">(rev\/min)<\/span><\/label><input class=\"vc-input\" id=\"vc-speed\" inputmode=\"decimal\" type=\"text\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-tip\">Actual outer tip radius <span class=\"vc-label-hint\">(mm; optional)<\/span><\/label><input class=\"vc-input\" id=\"vc-tip\" inputmode=\"decimal\" type=\"text\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-blades\">Identical blade count <span class=\"vc-label-hint\">(optional integer; sum of magnitudes only)<\/span><\/label><input class=\"vc-input\" id=\"vc-blades\" inputmode=\"numeric\" type=\"text\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-source\">Input basis \/ drawing \/ measurement reference<\/label><input class=\"vc-input\" id=\"vc-source\" type=\"text\" maxlength=\"500\"><\/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>Model boundary:<\/strong> mass is represented at one radial CG in steady uniform rotation. For swept\/wide blades or detailed root stress, integrate the mass distribution and use a structural model including geometry, material, joints, aerodynamic\/gravity loads, dynamics and fatigue.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Ideal circular-motion 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\">Radial force magnitude per blade<\/div><div class=\"vc-rcard-value\" id=\"vc-r-force\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Radial acceleration at CG<\/div><div class=\"vc-rcard-value\" id=\"vc-r-accel\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Acceleration \/ standard gravity<\/div><div class=\"vc-rcard-value\" id=\"vc-r-ratio\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Tangential speed at CG<\/div><div class=\"vc-rcard-value\" id=\"vc-r-cgspeed\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Tangential speed at actual tip<\/div><div class=\"vc-rcard-value\" id=\"vc-r-tipspeed\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Sum of blade-force magnitudes<\/div><div class=\"vc-rcard-value\" id=\"vc-r-sum\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Net bearing\/unbalance force<\/div><div class=\"vc-rcard-value\" id=\"vc-r-net\">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 and interpretation<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><p>NASA&#8217;s official circular-motion material gives centripetal-force magnitude <strong>F = m\u03c9\u00b2r = mv\u00b2\/r<\/strong>. Here \u03c9 = 2\u03c0n\/60, m is mass in kg, r is radial CG distance in m and n is rev\/min. The supporting structure supplies an inward force of this magnitude; in a rotating frame the corresponding inertial term is outward.<\/p><p>Radial acceleration is <strong>a = \u03c9\u00b2r<\/strong>. The displayed acceleration ratio uses the exact conventional standard gravity <strong>g<sub>n<\/sub> = 9.80665 m\/s\u00b2<\/strong> listed by NIST; it is not local gravity and is not a stress or safety factor.<\/p><p>Tangential speed is <strong>v = \u03c9r<\/strong>. CG speed and true outer-tip speed require different radii, so the latter is displayed only when an actual tip radius is supplied.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Vector boundary:<\/strong> multiplying one radial-force magnitude by blade count gives only a scalar sum of magnitudes. It is not the vector resultant on bearings. Identical evenly spaced rotating forces ideally cancel as vectors; actual unbalance requires every mass-radius product and angular position (plus other rotating components). This calculator therefore never reports a net bearing force.<\/p><\/div><p>No universal material-specific \u201csafe tip speed\u201d is given. Allowable speed depends on the complete impeller design, material\/condition, geometry, manufacturing, joints, environment, inspection, applicable code and manufacturer analysis.<\/p><p>Sources: <a href=\"https:\/\/www.nasa.gov\/pdf\/563410main_FTNL_Instructor_Manual.pdf\" target=\"_blank\" rel=\"noopener\">NASA circular-motion\/centripetal-force reference<\/a>; <a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-appendix-b-conversion-factors\/nist-guide-si-appendix-b8\" target=\"_blank\" rel=\"noopener\">NIST standard gravity value<\/a>.<\/p><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Ideal inertial-load calculation only; not a stress analysis, balance assessment, allowable-speed determination or operating approval. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}var GN=9.80665;function pnum(s){s=s.trim().replace(',','.');return \/^[+]?(?:\\d+(?:\\.\\d*)?|\\.\\d+)$\/.test(s)?Number(s):NaN}function clear(){['vc-r-force','vc-r-accel','vc-r-ratio','vc-r-cgspeed','vc-r-tipspeed','vc-r-sum'].forEach(function(id){$(id).textContent='\u2014'});$('vc-r-net').textContent='Not calculated';$('vc-r-note').textContent='';$('vc-results').classList.remove('vc-visible')}function calc(){var m=pnum($('vc-mass').value),rmm=pnum($('vc-radius').value),rpm=pnum($('vc-speed').value),tipRaw=$('vc-tip').value.trim(),bladesRaw=$('vc-blades').value.trim(),source=$('vc-source').value.trim(),required=[$('vc-mass').value.trim(),$('vc-radius').value.trim(),$('vc-speed').value.trim(),source],any=required.some(Boolean)||tipRaw||bladesRaw;if(!required.every(Boolean)){clear();$('vc-error').textContent=any?'Complete mass,CG radius,speed and input basis.':'';return}if(!Number.isFinite(m)||m<=0||!Number.isFinite(rmm)||rmm<=0||!Number.isFinite(rpm)||rpm<=0){clear();$('vc-error').textContent='Use strict positive finite numbers for mass,CG radius and speed.';return}var tip=tipRaw?pnum(tipRaw):NaN;if(tipRaw&&(!Number.isFinite(tip)||tip<rmm)){clear();$('vc-error').textContent='Actual tip radius must be a strict number at least as large as the CG radius.';return}var blades=bladesRaw?pnum(bladesRaw):NaN;if(bladesRaw&&(!Number.isInteger(blades)||blades<1)){clear();$('vc-error').textContent='Blade count must be a positive integer or left blank.';return}var r=rmm\/1000,w=2*Math.PI*rpm\/60,a=r*w*w,f=m*a,v=r*w;$('vc-error').textContent='';$('vc-r-force').textContent=f.toFixed(6)+' N ('+(f\/1000).toFixed(9)+' kN)';$('vc-r-accel').textContent=a.toFixed(6)+' m\/s\u00b2';$('vc-r-ratio').textContent=(a\/GN).toFixed(6)+' \u00d7 g\u2099';$('vc-r-cgspeed').textContent=v.toFixed(6)+' m\/s';$('vc-r-tipspeed').textContent=tipRaw?(tip\/1000*w).toFixed(6)+' m\/s':'Not supplied';$('vc-r-sum').textContent=bladesRaw?(f*blades).toFixed(6)+' N (scalar sum only)':'Not supplied';$('vc-r-net').textContent='Not calculated \u2014 vector data required';$('vc-r-note').textContent='Input basis: '+source+' | Radial-force magnitude is not blade stress or net bearing force.';$('vc-results').classList.add('vc-visible');var u=new URL(location),vals=[m,rmm,rpm,tipRaw?tip:'',bladesRaw?blades:'',source],keys=['mass_kg','cg_radius_mm','speed_rpm','tip_radius_mm','blade_count','input_basis'];keys.forEach(function(k,i){if(vals[i]==='')u.searchParams.delete(k);else u.searchParams.set(k,String(vals[i]))});history.replaceState(null,'',u.toString())}$('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),keys=['mass_kg','cg_radius_mm','speed_rpm','tip_radius_mm','blade_count','input_basis'],ids=['vc-mass','vc-radius','vc-speed','vc-tip','vc-blades','vc-source'];keys.forEach(function(k,i){if(p.has(k))$(ids[i]).value=p.get(k)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Calculate ideal radial force and acceleration at blade CG,with separate true tip radius and no inferred bearing resultant or safe speed.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100088","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/calculator\/100088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/calculator\/100088\/revisions"}],"predecessor-version":[{"id":102389,"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/calculator\/100088\/revisions\/102389"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/media?parent=100088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/categories?post=100088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/pt\/wp-json\/wp\/v2\/tags?post=100088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}