{"id":100123,"date":"2026-02-15T20:19:02","date_gmt":"2026-02-15T20:19:02","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100123"},"modified":"2026-07-12T11:48:54","modified_gmt":"2026-07-12T11:48:54","slug":"hammer-centrifugal-force","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/el\/calculators\/hammer-centrifugal-force\/","title":{"rendered":"Hammer CG Steady Circular-Motion Force Calculator"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Hammer CG Steady Circular-Motion Force Calculator\",\"description\":\"Calculate angular speed, CG tangential speed, centripetal acceleration and ideal steady circular-motion force magnitude from mass, CG radius and RPM. Not a pin, bolt, disc or fatigue design load.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/hammer-centrifugal-force\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any (Web Browser)\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-12\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/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\":\"Hammer CG circular-motion force\",\"item\":\"https:\/\/vibromera.eu\/calculators\/hammer-centrifugal-force\/\"}]}<\/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-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 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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}}.vc-doc-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px}.vc-wide{grid-column:1\/-1}.vc-result-note{font-size:13px;color:var(--vc-ink-secondary);margin:0}@media(max-width:600px){.vc-doc-grid{grid-template-columns:1fr}.vc-wide{grid-column:auto}}.vc-doc-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px}.vc-wide{grid-column:1\/-1}.vc-formula-box{font-family:var(--vc-mono);background:var(--vc-surface-alt);border:1px solid var(--vc-border-light);border-radius:6px;padding:14px;margin:12px 0}.vc-result-note{font-size:13px;color:var(--vc-ink-secondary);margin:0}@media(max-width:600px){.vc-doc-grid{grid-template-columns:1fr}.vc-wide{grid-column:auto}}<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-hammer-force\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Ideal uniform circular motion \u2014 one documented mass<\/p><h1 class=\"vc-header-title\">Hammer CG Steady Circular-Motion Force Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate angular speed, center-of-mass tangential speed, centripetal acceleration and the ideal steady radial-force magnitude for one documented hammer or component.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">F = mr\u03c9\u00b2<\/span><span class=\"vc-badge\">Exact unit conversions<\/span><span class=\"vc-badge\">Not a retention design load<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-doc-grid\">\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-id\">Hammer \/ component identifier<\/label><input class=\"vc-input\" id=\"vc-id\" type=\"text\" maxlength=\"220\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass-source\">Mass source \/ revision<\/label><input class=\"vc-input\" id=\"vc-mass-source\" type=\"text\" maxlength=\"300\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass-unit\">Mass unit<\/label><select class=\"vc-select\" id=\"vc-mass-unit\"><option value=\"\">Select\u2026<\/option><option value=\"kg\">kg<\/option><option value=\"g\">g<\/option><option value=\"lb\">lb (avoirdupois mass)<\/option><\/select><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass\">Rotating mass m<\/label><input class=\"vc-input\" id=\"vc-mass\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius-source\">CG radius source \/ revision<\/label><input class=\"vc-input\" id=\"vc-radius-source\" type=\"text\" maxlength=\"300\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius-unit\">CG radius unit<\/label><select class=\"vc-select\" id=\"vc-radius-unit\"><option value=\"\">Select\u2026<\/option><option value=\"mm\">mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/option><\/select><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-radius\">Rotation-axis to mass-CG radius r<\/label><input class=\"vc-input\" id=\"vc-radius\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-speed-source\">Speed \/ overspeed basis<\/label><input class=\"vc-input\" id=\"vc-speed-source\" type=\"text\" maxlength=\"300\"><\/div>\r\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-rpm\">Uniform rotation speed n <span class=\"vc-label-hint\">(rpm)<\/span><\/label><input class=\"vc-input\" id=\"vc-rpm\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div>\r\n<\/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>Applicability gate:<\/strong> use the actual path radius of the entered mass center, not hammer length or tip radius. This ideal model excludes impact, angular acceleration, gravity orientation, drag, clearances, flexible motion, contact, load sharing and structural dynamics.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\" aria-live=\"polite\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Ideal steady circular-motion result<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\">\r\n<div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Radial-force magnitude F<\/div><div class=\"vc-rcard-value\" id=\"vc-r-force\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Force in kN<\/div><div class=\"vc-rcard-value\" id=\"vc-r-kn\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Force in lbf<\/div><div class=\"vc-rcard-value\" id=\"vc-r-lbf\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Angular speed \u03c9<\/div><div class=\"vc-rcard-value\" id=\"vc-r-omega\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">CG tangential speed v<\/div><div class=\"vc-rcard-value\" id=\"vc-r-speed\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Centripetal acceleration a<\/div><div class=\"vc-rcard-value\" id=\"vc-r-accel\">\u2014<\/div><\/div>\r\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Acceleration ratio a\/g\u2080<\/div><div class=\"vc-rcard-value\" id=\"vc-r-gratio\">\u2014<\/div><\/div>\r\n<\/div><p class=\"vc-result-note\" id=\"vc-r-note\"><\/p><\/div><\/div>\r\n\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\">Formula, units and design boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\">\r\n<h3>Implemented general-physics equations<\/h3><div class=\"vc-formula-box\">\u03c9 = 2\u03c0n\/60<br>v = r\u03c9<br>a = r\u03c9\u00b2<br>F = ma = mr\u03c9\u00b2<\/div><p>Here m is the entered rotating mass in kilograms, r is its center-of-mass path radius in metres, n is uniform speed in revolutions per minute, \u03c9 is radians per second, v is metres per second, a is metres per second squared and F is newtons. These are general uniform-circular-motion equations, not an ISO design formula. NASA gives the centripetal-force magnitude as m\u03c9\u00b2r and distinguishes the inward force in an inertial frame from the apparent outward centrifugal force in a rotating frame.<\/p>\r\n<h3>Exact conversions and conventional gravity<\/h3><p>The calculator uses 1 lb = 0.45359237 kg and 1 in = 0.0254 m exactly. It uses 1 lbf = 4.4482216152605 N, derived from the international pound at conventional standard gravity, and g\u2080 = 9.80665 m\/s\u00b2. See the <a href=\"https:\/\/physics.nist.gov\/cuu\/pdf\/sp811.pdf\" target=\"_blank\" rel=\"noopener\">NIST Guide for the Use of SI<\/a>, <a href=\"https:\/\/www.nist.gov\/pml\/owm\/si-units-length\" target=\"_blank\" rel=\"noopener\">NIST inch definition<\/a> and <a href=\"https:\/\/jcgm.bipm.org\/vim\/en\/2.12.html\" target=\"_blank\" rel=\"noopener\">JCGM VIM conventional gravity example<\/a>.<\/p>\r\n<h3>What F does and does not mean<\/h3><p>F is the net inward force required for the entered mass to follow the assumed circular path at constant speed; in a co-rotating frame the centrifugal inertial-force magnitude is equal and outward. A bearing, pin, bolt, disc or support reaction is not automatically equal to this scalar under real machine conditions. Do not sum per-hammer magnitudes to obtain rotor resultant: forces are vectors and can cancel or combine depending on angular position and symmetry.<\/p>\r\n<h3>Why the former pin-sizing advice was removed<\/h3><p>The former page called F the load on pins\/bolts, supplied a nominal double-shear pin equation, a generic allowable-stress band and a universal safety-factor band. Those values did not establish pin material, heat treatment, fit, shear planes, bearing\/bending, stress concentration, preload, fatigue spectrum, wear, impact or failure criteria. The former unit toggle also relabelled existing values without converting them, so 5 kg and 400 mm became 5 lb and 400 in.<\/p>\r\n<div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Not a machine-design approval:<\/strong> derive retention, rotor, disc, shaft and bearing loads from the complete free-body and transient\/dynamic load cases, including operating and overspeed requirements. Use qualified material data, fatigue criteria and the applicable machine\/design standards.<\/p><\/div>\r\n<\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Ideal one-mass uniform-circular-motion reference only. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(id){return document.getElementById(id)}var km={kg:1,g:.001,lb:.45359237},kr={mm:.001,cm:.01,m:1,in:.0254},g0=9.80665,lbfN=4.4482216152605;var outs=['vc-r-force','vc-r-kn','vc-r-lbf','vc-r-omega','vc-r-speed','vc-r-accel','vc-r-gratio'];var map={hc_id:'vc-id',hc_mass_source:'vc-mass-source',hc_mass_unit:'vc-mass-unit',hc_mass:'vc-mass',hc_radius_source:'vc-radius-source',hc_radius_unit:'vc-radius-unit',hc_radius:'vc-radius',hc_speed_source:'vc-speed-source',hc_rpm:'vc-rpm'};function num(raw){var s=String(raw).trim().replace(',','.');if(s.length>80||!\/^[-+]?(?:\\d+(?:\\.\\d*)?|\\.\\d+)(?:[eE][+-]?\\d+)?$\/.test(s))return NaN;return Number(s)}function fmt(v){if(!Number.isFinite(v))return'\u2014';if(v===0)return'0';return Number(v.toPrecision(12)).toString()}function clear(){outs.forEach(function(id){$(id).textContent='\u2014'});$('vc-r-note').textContent='';$('vc-results').classList.remove('vc-visible')}function fail(message){clear();$('vc-error').textContent=message}function setUrl(){var u=new URL(location);Object.keys(map).forEach(function(q){var v=$(map[q]).value.trim();if(v)u.searchParams.set(q,v);else u.searchParams.delete(q)});history.replaceState(null,'',u.toString())}function calc(){setUrl();var x={};Object.keys(map).forEach(function(q){x[q]=$(map[q]).value.trim()});var any=Object.keys(x).some(function(q){return x[q]});if(!any){$('vc-error').textContent='';clear();return}if(!Object.keys(map).every(function(q){return x[q]})){fail('Enter all component, source, unit, mass, CG-radius and speed fields.');return}if(!(x.hc_mass_unit in km)||!(x.hc_radius_unit in kr)){fail('Select valid mass and CG-radius units.');return}var mv=num(x.hc_mass),rv=num(x.hc_radius),rpm=num(x.hc_rpm);if(![mv,rv,rpm].every(Number.isFinite)){fail('Mass, CG radius and speed must be complete finite decimal numbers.');return}if(mv<=0||rv<=0||rpm<=0){fail('Mass, CG radius and speed must be strict positive numbers.');return}var m=mv*km[x.hc_mass_unit],r=rv*kr[x.hc_radius_unit];if(![m,r,rpm].every(function(v){return Number.isFinite(v)&&v<=1e30})){fail('Normalized inputs must be finite and no greater than 10\u00b3\u2070.');return}var omega=2*Math.PI*rpm\/60,v=r*omega,a=r*omega*omega,F=m*a,kn=F\/1000,lbf=F\/lbfN,gr=a\/g0;if(![omega,v,a,F,kn,lbf,gr].every(Number.isFinite)||Math.max(omega,v,a,F,kn,lbf,gr)>1e100){fail('Result exceeds the finite numerical range.');return}$('vc-error').textContent='';$('vc-r-force').textContent=fmt(F)+' N';$('vc-r-kn').textContent=fmt(kn)+' kN';$('vc-r-lbf').textContent=fmt(lbf)+' lbf';$('vc-r-omega').textContent=fmt(omega)+' rad\/s';$('vc-r-speed').textContent=fmt(v)+' m\/s';$('vc-r-accel').textContent=fmt(a)+' m\/s\u00b2';$('vc-r-gratio').textContent=fmt(gr)+' g\u2080';$('vc-r-note').textContent='Component: '+x.hc_id+' | Mass: '+x.hc_mass_source+' | CG radius: '+x.hc_radius_source+' | Speed basis: '+x.hc_speed_source+'. Ideal steady one-mass result only; not a retention or machine design load.';$('vc-results').classList.add('vc-visible')}$('vc-form').addEventListener('input',calc);$('vc-form').addEventListener('change',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var q=new URLSearchParams(location.search);Object.keys(map).forEach(function(x){if(q.has(x))$(map[x]).value=q.get(x)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Calculate angular speed, center-of-mass speed, centripetal acceleration and ideal steady radial-force magnitude from documented mass, CG radius and RPM. 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