{"id":100262,"date":"2026-02-15T20:30:25","date_gmt":"2026-02-15T20:30:25","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100262"},"modified":"2026-07-15T21:06:40","modified_gmt":"2026-07-15T21:06:40","slug":"tip-speed-mulcher","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/hr\/calculators\/tip-speed-mulcher\/","title":{"rendered":"Controlled Rotor Peripheral Kinematics Calculator"},"content":{"rendered":"<div id=\"rk-tool\" class=\"rk-shell\">\n<style>\n    #rk-tool{--ink:#172536;--muted:#53667a;--line:#d5e0e8;--soft:#f3f7fa;--accent:#8b3e24;--accent2:#642b19;--warn:#fff1df;--ok:#116a41;font:16px\/1.55 system-ui,-apple-system,\"Segoe UI\",sans-serif;color:var(--ink);max-width:1180px;margin:0 auto;background:#fff}\n    #rk-tool *{box-sizing:border-box}#rk-tool .rk-hero{text-align:center;padding:52px 24px 42px}#rk-tool .rk-kicker{margin:0 0 10px;color:var(--accent);font-weight:800;font-size:12px;letter-spacing:.14em;text-transform:uppercase}#rk-tool h1{margin:0;font-size:clamp(32px,5vw,50px);line-height:1.08;letter-spacing:-.035em}#rk-tool .rk-sub{max-width:860px;margin:16px auto 0;color:var(--muted);font-size:18px}#rk-tool .rk-badges{display:flex;justify-content:center;gap:9px;flex-wrap:wrap;margin-top:20px}#rk-tool .rk-badge{border:1px solid var(--line);border-radius:999px;padding:5px 11px;font-size:12px;font-weight:750;background:#fff}\n    #rk-tool .rk-card{border:1px solid var(--line);border-radius:16px;margin:0 0 24px;padding:28px;background:#fff;box-shadow:0 10px 24px rgba(20,45,65,.035)}#rk-tool h2{font-size:25px;line-height:1.2;margin:0 0 20px}#rk-tool h3{font-size:19px;margin:22px 0 10px}#rk-tool p{margin:10px 0}#rk-tool .rk-warning{background:var(--warn);border-left:5px solid #bd6000;padding:17px 18px;border-radius:8px;margin-bottom:24px}#rk-tool .rk-warning strong{color:#813e00}\n    #rk-tool .rk-grid{display:grid;grid-template-columns:1fr 1fr;gap:18px 16px}#rk-tool .rk-wide{grid-column:1\/-1}#rk-tool label{display:block;font-weight:750;font-size:14px}#rk-tool .rk-help{display:block;color:var(--muted);font-weight:400;font-size:12px;margin:2px 0 7px}#rk-tool input[type=text],#rk-tool select,#rk-tool textarea{width:100%;border:1px solid #afc0ce;border-radius:9px;padding:12px 13px;background:#fff;color:var(--ink);font:inherit}#rk-tool textarea{min-height:78px;resize:vertical}#rk-tool input:focus,#rk-tool select:focus,#rk-tool textarea:focus{outline:3px solid rgba(139,62,36,.15);border-color:var(--accent)}#rk-tool .rk-inline{display:grid;grid-template-columns:1fr 150px;gap:10px}#rk-tool .rk-check{display:flex;gap:12px;align-items:flex-start;border:1px solid var(--line);border-radius:10px;padding:14px 15px;background:var(--soft);font-weight:400}#rk-tool .rk-check input{margin-top:4px;flex:0 0 auto}#rk-tool .rk-actions{display:flex;flex-wrap:wrap;gap:10px;margin-top:18px}#rk-tool 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.rk-rvalue{font-size:19px;font-weight:820;overflow-wrap:anywhere;margin-top:4px}#rk-tool .rk-note,#rk-tool .rk-record{border:1px solid var(--line);border-radius:10px;padding:13px;margin-top:12px}#rk-tool .rk-record{font-size:13px;color:var(--muted)}\n    #rk-tool .rk-formula{font:700 15px\/1.75 ui-monospace,SFMono-Regular,Consolas,monospace;background:var(--soft);border:1px solid var(--line);border-radius:10px;padding:16px;overflow-x:auto}#rk-tool .rk-small{font-size:13px;color:var(--muted)}#rk-tool .rk-list{padding-left:21px}#rk-tool .rk-list li{margin:9px 0}#rk-tool .rk-source{border-top:1px solid var(--line);padding:16px 0}#rk-tool .rk-source:first-of-type{border-top:0;padding-top:0}#rk-tool .rk-source a{color:var(--accent2);font-weight:800}#rk-tool .rk-source p{margin:3px 0;color:var(--muted);font-size:14px}#rk-tool .rk-footer{text-align:center;color:var(--muted);font-size:13px;padding:8px 20px 34px}\n    @media(max-width:700px){#rk-tool .rk-hero{padding:38px 18px 32px}#rk-tool .rk-sub{font-size:16px}#rk-tool .rk-card{padding:20px;margin-left:0;margin-right:0}#rk-tool .rk-grid,#rk-tool .rk-results{grid-template-columns:1fr}#rk-tool .rk-wide{grid-column:auto}}@media(max-width:430px){#rk-tool h1{font-size:31px}#rk-tool .rk-inline{grid-template-columns:1fr}#rk-tool .rk-actions button{width:100%}}\n  <\/style>\n<header class=\"rk-hero\">\n<p class=\"rk-kicker\">Circular-motion arithmetic, not a safe-speed selector<\/p>\n<h1>Controlled Rotor Peripheral Kinematics Calculator<\/h1>\n<p class=\"rk-sub\">Convert a documented radius or diameter and rotational speed into angular speed, peripheral speed and centripetal-acceleration magnitude. The calculation does not select an operating speed, balance grade, guard, tool retention or power.<\/p>\n<div class=\"rk-badges\"><span class=\"rk-badge\">Exact unit conversions<\/span><span class=\"rk-badge\">No \u201coptimal\u201d speed bands<\/span><span class=\"rk-badge\">No G-grade selection<\/span><span class=\"rk-badge\">No retention-force claim<\/span><\/div>\n<\/header>\n<section class=\"rk-card\" aria-labelledby=\"rk-calc-title\">\n<h2 id=\"rk-calc-title\">Documented point on a rotating body<\/h2>\n<div class=\"rk-warning\"><strong>Do not use this result as a maximum or safe operating speed.<\/strong> Tip speed and radial acceleration alone cannot verify rotor stress, tool or pin loads, impact, fatigue, critical speed, overspeed margin, guarding, containment, balance tolerance, bearing load, cutting performance or power. Use the machine manufacturer\u2019s controlled limits and a qualified engineering risk assessment.<\/div>\n<form id=\"rk-form\" novalidate autocomplete=\"off\">\n<div class=\"rk-grid\">\n        <label for=\"rk-basis\">Geometry input<span class=\"rk-help\">State whether the measured length is a diameter or a radius to the evaluated point<\/span><select id=\"rk-basis\"><option value=\"\" selected disabled>Select geometry basis<\/option><option value=\"diameter\">Diameter to the evaluated point<\/option><option value=\"radius\">Radius to the evaluated point<\/option><\/select><\/label><br \/>\n        <label for=\"rk-length\">Documented length<span class=\"rk-help\">Positive plain decimal; not a nominal housing or rotor-body size<\/span><span class=\"rk-inline\"><input id=\"rk-length\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><select id=\"rk-length-unit\" aria-label=\"Length unit\"><option value=\"\" selected disabled>Unit<\/option><option value=\"mm\">mm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/option><\/select><\/span><\/label><br \/>\n        <label for=\"rk-speed\">Documented rotational speed<span class=\"rk-help\">Positive plain decimal at the same operating state<\/span><span class=\"rk-inline\"><input id=\"rk-speed\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><select id=\"rk-speed-unit\" aria-label=\"Rotational speed unit\"><option value=\"\" selected disabled>Unit<\/option><option value=\"rpm\">r\/min (rpm)<\/option><option value=\"rps\">r\/s<\/option><option value=\"rads\">rad\/s<\/option><\/select><\/span><\/label><br \/>\n        <label class=\"rk-wide\" for=\"rk-source\">Geometry, speed and source record<span class=\"rk-help\">Identify the point, drawing\/measurement, speed source, machine and operating state<\/span><textarea id=\"rk-source\" maxlength=\"500\"><\/textarea><\/label><br \/>\n        <label class=\"rk-check rk-wide\" for=\"rk-confirm-data\"><input id=\"rk-confirm-data\" type=\"checkbox\"><span>I confirm that the radius\/diameter reaches the evaluated point and that geometry and speed describe the same documented machine state.<\/span><\/label><br \/>\n        <label class=\"rk-check rk-wide\" for=\"rk-confirm-boundary\"><input id=\"rk-confirm-boundary\" type=\"checkbox\"><span>I understand that this is kinematics only and does not establish a safe speed, tool force, balance grade, power requirement, guard or containment design.<\/span><\/label>\n      <\/div>\n<div class=\"rk-actions\"><button class=\"rk-primary\" type=\"submit\">Calculate documented kinematics<\/button><button class=\"rk-clear\" type=\"reset\">Clear<\/button><\/div>\n<div class=\"rk-status\" id=\"rk-status\" role=\"status\" aria-live=\"polite\"><\/div>\n<div class=\"rk-output\" id=\"rk-result\" data-visible=\"false\" aria-live=\"polite\">\n<h3>Kinematic result<\/h3>\n<div class=\"rk-results\">\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Peripheral speed magnitude v<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-speed\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Evaluated radius r<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-radius\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Angular speed \u03c9<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-omega\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Other speed units<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-conversions\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Centripetal-acceleration magnitude a\u1d63<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-accel\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Standard-gravity multiple<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-g\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Rotational frequency<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-frequency\">\u2014<\/div>\n<\/div>\n<div class=\"rk-result\">\n<div class=\"rk-rlabel\">Rotation period<\/div>\n<div class=\"rk-rvalue\" id=\"rk-r-period\">\u2014<\/div>\n<\/div><\/div>\n<div class=\"rk-note\" id=\"rk-r-note\"><\/div>\n<div class=\"rk-record\" id=\"rk-r-record\"><\/div>\n<\/p><\/div>\n<\/p><\/form>\n<\/section>\n<section class=\"rk-card\" aria-labelledby=\"rk-model-title\">\n<h2 id=\"rk-model-title\">General circular-motion relations<\/h2>\n<div class=\"rk-formula\">r = D \/ 2 &nbsp; (when diameter is entered)<br \/>\u03c9 = 2\u03c0n \/ 60 &nbsp; for n in r\/min<br \/>v = \u03c9r<br \/>a\u1d63 = v\u00b2\/r = \u03c9\u00b2r<br \/>g-multiple = a\u1d63 \/ g\u2099 &nbsp;; g\u2099 = 9.80665 m\/s\u00b2<\/div>\n<p>These are general kinematic relations, not formulas mandated by an ISO balance standard. The acceleration shown is the inward centripetal-acceleration magnitude of the evaluated point in an inertial description. \u201cCentrifugal force\u201d in a rotating-frame description and actual attachment loads require a defined mass model and complete load path; this page deliberately does not calculate them.<\/p>\n<p class=\"rk-small\">NIST lists one revolution as 2\u03c0 radians and recognizes r\/min for rotational frequency in machinery specifications. Inch and foot conversions use exact SI definitions; the standard-gravity multiple uses the NIST value g\u2099 = 9.80665 m\/s\u00b2.<\/p>\n<\/section>\n<section class=\"rk-card\" aria-labelledby=\"rk-boundary-title\">\n<h2 id=\"rk-boundary-title\">What this result cannot establish<\/h2>\n<ul class=\"rk-list\">\n<li>There is no universal \u201coptimal\u201d tip-speed range for mulchers, chippers, shredders or hammer mills. Product geometry, tools, material, feed, impact, screen, drive, structure and OEM validation control the duty.<\/li>\n<li>Power is not universally proportional to the cube of rotor tip speed for these machines. That affinity-law scaling belongs to specific dynamically similar fluid-machine conditions and was removed.<\/li>\n<li>ISO 1940-1:2003 is withdrawn. ISO 21940-11:2016 with Amendment 1:2022 is the current ISO record for procedures and residual-unbalance tolerances of rotors with rigid behaviour; it does not turn tip speed into an automatic G6.3 recommendation. Flexible rotors are outside that part.<\/li>\n<li>As a United States example, OSHA 29 CFR 1910.212(a)(1) requires guarding against hazards including rotating parts and flying chips. Applicable jurisdiction, machine-specific requirements and OEM instructions must be checked separately; a velocity result is not a guard or containment design.<\/li>\n<\/ul>\n<\/section>\n<section class=\"rk-card\" aria-labelledby=\"rk-evidence-title\">\n<h2 id=\"rk-evidence-title\">Official evidence<\/h2>\n<div class=\"rk-source\"><a href=\"https:\/\/www.grc.nasa.gov\/www\/k-12\/airplane\/angdva.html\" target=\"_blank\" rel=\"noopener\">NASA Glenn \u2014 Angular Displacement, Velocity and Acceleration<\/a><\/p>\n<p>Official explanation of angular velocity and the tangential relation v = \u03c9r.<\/p>\n<\/div>\n<div class=\"rk-source\"><a href=\"https:\/\/imagine.gsfc.nasa.gov\/observatories\/learning\/swift\/classroom\/law_grav_derivation.html\" target=\"_blank\" rel=\"noopener\">NASA GSFC \u2014 circular-motion acceleration derivation<\/a><\/p>\n<p>Official explanation of centripetal acceleration magnitude a = v\u00b2\/r.<\/p>\n<\/div>\n<div class=\"rk-source\"><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\">NIST SP 811 Appendix B.9<\/a><\/p>\n<p>Official revolution-to-radian and standard-gravity conversion values.<\/p>\n<\/div>\n<div class=\"rk-source\"><a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-chapter-8\" target=\"_blank\" rel=\"noopener\">NIST SP 811 Chapter 8<\/a><\/p>\n<p>Official SI style guidance recognizing r\/s and r\/min for rotational frequency.<\/p>\n<\/div>\n<div class=\"rk-source\"><a href=\"https:\/\/www.iso.org\/standard\/54074.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-11:2016 + Amd 1:2022<\/a><\/p>\n<p>Official current-status and scope record for rigid-rotor balancing procedures and tolerances.<\/p>\n<\/div>\n<div class=\"rk-source\"><a href=\"https:\/\/www.iso.org\/standard\/27092.html\" target=\"_blank\" rel=\"noopener\">ISO 1940-1:2003 lifecycle record<\/a><\/p>\n<p>Official record showing withdrawal and revision by ISO 21940-11:2016.<\/p>\n<\/div>\n<div class=\"rk-source\"><a href=\"https:\/\/www.osha.gov\/laws-regs\/regulations\/standardnumber\/1910\/1910.212\" target=\"_blank\" rel=\"noopener\">OSHA 29 CFR 1910.212<\/a><\/p>\n<p>Current United States general machine-guarding requirement; cited as a jurisdiction-specific safety example, not a universal design formula.<\/p>\n<\/div>\n<\/section>\n<footer class=\"rk-footer\">Vibromera controlled rotor kinematics \u00b7 No safe-speed, rating, balance-grade or guarding decision<\/footer>\n<p>  <script>\n  (function(){'use strict';\n    var form=document.getElementById('rk-form'),result=document.getElementById('rk-result'),status=document.getElementById('rk-status');\n    function byId(id){return document.getElementById(id)}\n    function clearResult(){result.dataset.visible='false';['rk-r-speed','rk-r-radius','rk-r-omega','rk-r-conversions','rk-r-accel','rk-r-g','rk-r-frequency','rk-r-period'].forEach(function(id){byId(id).textContent='\u2014'});byId('rk-r-note').textContent='';byId('rk-r-record').textContent=''}\n    function fail(message){status.textContent=message;status.dataset.kind='error';clearResult()}\n    function plain(raw,label){var s=String(raw).trim();if(!s||s.length>64||!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))throw new Error('Enter '+label+' as one positive plain decimal.');var value=Number(s.replace(',','.'));if(!Number.isFinite(value)||value<=0)throw new Error(label.charAt(0).toUpperCase()+label.slice(1)+' must be greater than 0.');return value}\n    function record(raw){var s=String(raw).trim();if(s.length<3||s.length>500||\/[\\u0000-\\u0008\\u000B\\u000C\\u000E-\\u001F\\u007F]\/.test(s))throw new Error('Describe the geometry, speed and source record in 3\u2013500 printable characters.');return s}\n    function fmt(value){if(Math.abs(value)<1e-14)return'0';return Number(value.toPrecision(12)).toString()}\n    function kinematics(basis,length,lengthUnit,speed,speedUnit){var meters=length*(lengthUnit==='mm'?0.001:lengthUnit==='in'?0.0254:1),radius=basis==='diameter'?meters\/2:meters,omega=speedUnit==='rpm'?speed*2*Math.PI\/60:speedUnit==='rps'?speed*2*Math.PI:speed;if(!Number.isFinite(radius)||radius<=0||radius>1000000)throw new Error('Evaluated radius is outside this calculator\u2019s supported finite range.');if(!Number.isFinite(omega)||omega<=0||omega>1000000000)throw new Error('Angular speed is outside this calculator\u2019s supported finite range.');var rps=omega\/(2*Math.PI),rpm=rps*60,v=omega*radius,accel=omega*omega*radius,g=accel\/9.80665,ftmin=v*60\/0.3048,kmh=v*3.6,period=1\/rps;if(![rps,rpm,v,accel,g,ftmin,kmh,period].every(Number.isFinite)||v<=0||accel<=0)throw new Error('The calculated kinematics are not finite.');return{radius:radius,omega:omega,rps:rps,rpm:rpm,v:v,accel:accel,g:g,ftmin:ftmin,kmh:kmh,period:period}}\n    form.addEventListener('submit',function(event){event.preventDefault();try{var basis=byId('rk-basis').value,lengthUnit=byId('rk-length-unit').value,speedUnit=byId('rk-speed-unit').value;if(basis!=='diameter'&&basis!=='radius')throw new Error('Select whether the documented geometry is a diameter or radius.');if(!\/^(mm|m|in)$\/.test(lengthUnit))throw new Error('Select the geometry length unit.');if(!\/^(rpm|rps|rads)$\/.test(speedUnit))throw new Error('Select the rotational speed unit.');var length=plain(byId('rk-length').value,'documented length'),speed=plain(byId('rk-speed').value,'documented rotational speed'),source=record(byId('rk-source').value);if(!byId('rk-confirm-data').checked)throw new Error('Confirm the documented geometry and same-state speed basis.');if(!byId('rk-confirm-boundary').checked)throw new Error('Confirm the kinematics-only safety boundary.');var k=kinematics(basis,length,lengthUnit,speed,speedUnit);byId('rk-r-speed').textContent=fmt(k.v)+' m\/s';byId('rk-r-radius').textContent=fmt(k.radius)+' m';byId('rk-r-omega').textContent=fmt(k.omega)+' rad\/s';byId('rk-r-conversions').textContent=fmt(k.ftmin)+' ft\/min \u00b7 '+fmt(k.kmh)+' km\/h';byId('rk-r-accel').textContent=fmt(k.accel)+' m\/s\u00b2 inward';byId('rk-r-g').textContent=fmt(k.g)+' \u00d7 g\u2099';byId('rk-r-frequency').textContent=fmt(k.rps)+' r\/s \u00b7 '+fmt(k.rpm)+' r\/min';byId('rk-r-period').textContent=fmt(k.period)+' s\/revolution';byId('rk-r-note').textContent='Kinematic magnitude at one documented radius only. No tool mass,attachment load,impact,stress,fatigue,critical speed,power,maximum speed,balance tolerance or guarding capacity has been inferred.';byId('rk-r-record').textContent='Geometry\/speed\/source record: '+source;result.dataset.visible='true';status.textContent='Documented rotor kinematics calculated.';status.dataset.kind='ok'}catch(error){fail(error.message)}});\n    form.addEventListener('reset',function(){setTimeout(function(){status.textContent='';delete status.dataset.kind;clearResult()},0)});\n  }());\n  <\/script>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Calculate angular speed, peripheral speed and centripetal-acceleration magnitude from a documented rotor radius or diameter and rotational speed, without selecting a safe speed or balance grade.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100262","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100262","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":3,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100262\/revisions"}],"predecessor-version":[{"id":102606,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/calculator\/100262\/revisions\/102606"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/media?parent=100262"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/categories?post=100262"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/tags?post=100262"}],"curies":[{"name":"radni list","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}