{"id":32767,"date":"2026-09-29T04:08:48","date_gmt":"2026-09-29T04:08:48","guid":{"rendered":"https:\/\/www.sundicuttingtools.com\/?p=32767"},"modified":"2026-09-29T04:08:48","modified_gmt":"2026-09-29T04:08:48","slug":"cutting-speed-formula","status":"publish","type":"post","link":"https:\/\/www.sundicuttingtools.com\/ru\/news\/technology-articles\/cutting-speed-formula\/","title":{"rendered":"Cutting Speed Formula: Convert Surface Speed to RPM Without Mixing Units or Operations"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"32767\" class=\"elementor elementor-32767 elementor-bc-flex-widget\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-27e9c88b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"27e9c88b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div 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.table-wrap{max-width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch;margin:24px 0}\n.agent4-table-scroll table,.agent4-sct-article .table-wrap table{min-width:620px;width:100%;font-size:14.4px;line-height:1.7}\n.agent4-sct-article figure{margin:24px auto}\n.agent4-inline-16x9{width:min(100%,830px)}\n.agent4-inline-product-4x3-figure,.agent4-inline-original-ratio{width:min(100%,640px)}\n.agent4-inline-product-4x3{aspect-ratio:4\/3;overflow:hidden;width:100%}\n.agent4-sct-article .agent4-inline-product-4x3 img{display:block;width:100%;height:100%;max-width:none;object-fit:cover}\n.agent4-sct-article .agent4-inline-product-4x3--contain img{object-fit:contain}\n.agent4-sct-article .agent4-inline-original-ratio img{display:block;width:100%;height:auto;max-width:100%;object-fit:initial}\n.agent4-video{max-width:var(--a4-video-desktop);margin:30px auto}.agent4-video__frame{position:relative;width:100%;overflow:hidden}.agent4-video--short .agent4-video__frame{aspect-ratio:9\/16}.agent4-video--wide .agent4-video__frame{aspect-ratio:16\/9}.agent4-video__frame iframe{position:absolute;inset:0;width:100%;height:100%;border:0}\n.agent4-sct-article img{max-width:100%;height:auto}\n\n.agent4-approved-body,.agent4-approved-body *{box-sizing:border-box}\n.agent4-approved-body .top{display:grid;grid-template-columns:minmax(0,1.08fr) minmax(280px,.92fr);grid-template-areas:\"lead hero\" \"toc hero\";gap:18px var(--a4-gap);align-items:start;margin:0 0 34px}\n.agent4-approved-body .top .lead{grid-area:lead;min-width:0}.agent4-approved-body .top .hero{grid-area:hero;margin:0}.agent4-approved-body .top .toc{grid-area:toc;border-left:3px solid #dd3333;padding:12px 16px;background:#f7f7f7}\n.agent4-approved-body .top .hero img{display:block;width:100%;height:auto;max-height:430px;object-fit:cover;border-radius:4px}\n.agent4-approved-body .pair{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px;margin:28px 0}.agent4-approved-body .pair figure{margin:0}\n.agent4-approved-body .flow{padding:24px;background:#f4f7f8;border-left:4px solid #dd3333;margin:28px 0}.agent4-approved-body .flow h3{margin-top:0}\n.agent4-approved-body .video{max-width:340px;margin:30px auto}.agent4-approved-body .video iframe{display:block;width:100%;aspect-ratio:9\/16;border:0}\n\n@media(min-width:768px) and (max-width:1024px){.agent4-video{max-width:var(--a4-video-tablet)}.agent4-approved-body .video{max-width:320px}.agent4-inline-16x9{max-width:573px}.agent4-inline-product-4x3-figure{max-width:560px}}\n@media(max-width:767px){.agent4-top-shell{grid-template-columns:1fr;grid-template-areas:\"lead\" \"hero\" \"toc\"}.agent4-top-shell--no-hero{grid-template-areas:\"lead\" \"toc\"}.agent4-top-shell__hero img{max-height:none}.agent4-sct-article>h1{font-size:clamp(30px,9vw,40px)}.agent4-table-scroll table,.agent4-sct-article .table-wrap table{min-width:560px}.agent4-inline-16x9,.agent4-inline-product-4x3-figure,.agent4-inline-original-ratio{width:100%;max-width:100%}.agent4-video{max-width:min(var(--a4-video-mobile),100%)}.agent4-approved-body .top{grid-template-columns:1fr;grid-template-areas:\"lead\" \"hero\" \"toc\"}.agent4-approved-body .pair{grid-template-columns:1fr}.agent4-approved-body .video{max-width:min(300px,100%)}}\n<\/style><article class=\"agent4-sct-article agent4-approved-body\" data-agent4-layout=\"owner-approved-body-v1\"><h1>Cutting Speed Formula: Convert Surface Speed to RPM Without Mixing Units or Operations<\/h1><div class=\"top\"><div class=\"lead\">\n<p>The <strong>cutting speed formula<\/strong> converts a selected surface speed into spindle revolutions per minute. For metric inputs, use:<\/p>\n<p><strong>n = (Vc \u00d7 1000) \/ (\u03c0 \u00d7 D)<\/strong><\/p>\n<p>where <code>n<\/code> is RPM, <code>Vc<\/code> is cutting speed in metres per minute, and <code>D<\/code> is the active diameter in millimetres. For imperial inputs, use:<\/p>\n<p><strong>RPM = (SFM \u00d7 12) \/ (\u03c0 \u00d7 D)<\/strong><\/p>\n<p>where <code>SFM<\/code> is surface feet per minute and <code>D<\/code> is in inches.<\/p>\n<p>Choose Vc or SFM from guidance for the actual material, tool and operation before using these equations. The result is an RPM to check against the machine and setup; feed is calculated separately.<\/p>\n<\/div><div class=\"hero\"><figure><img fetchpriority=\"high\" decoding=\"async\" alt=\"A milling tool machining a clamped metal workpiece\" fetchpriority=\"high\" height=\"600\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2026\/09\/797dc0de0fd4bc7864ff67efe689b81f_800x600.webp\" width=\"800\"\/><figcaption>For milling, use the diameter at the cutting surface when converting cutting speed to RPM.<\/figcaption><\/figure><\/div><nav aria-label=\"Contents\" class=\"toc\"><strong>Contents<\/strong><ol><li><a href=\"#section-1\">Use the exact relationship first<\/a><\/li><li><a href=\"#section-2\">Choose the surface that is actually moving through the cut<\/a><\/li><li><a href=\"#section-3\">RPM is not feed<\/a><\/li><li><a href=\"#section-4\">Worked examples: metric and imperial<\/a><\/li><li><a href=\"#section-5\">When the machine cannot run the calculated RPM<\/a><\/li><li><a href=\"#section-6\">Record a setting that can be checked and reused<\/a><\/li><\/ol><a class=\"csf-jump\" href=\"#csf-calculator-title\">Try calculate \u2193<\/a><\/nav><\/div><h2 id=\"section-1\">Use the exact relationship first<\/h2>\n<p>Cutting speed is linear velocity at the cutting interface. RPM is rotational speed. The <a href=\"https:\/\/web.mae.ufl.edu\/designlab\/Advanced%20Manufacturing\/Speeds%20and%20Feeds\/Speeds%20and%20Feeds.htm\" target=\"_blank\" rel=\"noopener\">relationship between surface speed and spindle speed<\/a> follows the cutting circumference:<\/p>\n<p><strong>surface distance per minute = \u03c0 \u00d7 diameter \u00d7 revolutions per minute<\/strong><\/p>\n<p>The metric equation includes 1000 because Vc is expressed in metres per minute while diameter is entered in millimetres. Rearranging the relationship gives the metric <strong>spindle speed formula<\/strong>:<\/p>\n<p><strong>n = (Vc \u00d7 1000) \/ (\u03c0 \u00d7 D)<\/strong><\/p>\n<p>The imperial equation includes 12 because SFM is expressed in feet per minute while diameter is entered in inches:<\/p>\n<p><strong>RPM = (SFM \u00d7 12) \/ (\u03c0 \u00d7 D)<\/strong><\/p>\n<p>Keep each unit system intact. A value in metres per minute cannot be placed into the imperial equation, and a diameter in inches cannot be placed into the metric equation without conversion. Writing the units beside the inputs is a simple way to catch that error before it reaches a program.<\/p>\n<h3>Why the shortcut constants differ<\/h3>\n<p>The familiar shop constants are rounded forms of the same equations:<\/p>\n<ul>\n<li><code>1000 \/ \u03c0 = 318.3099\u2026<\/code>, so metric RPM is sometimes written as <code>(Vc \u00d7 318) \/ D<\/code> or, more loosely, <code>(Vc \u00d7 320) \/ D<\/code>.<\/li>\n<li><code>12 \/ \u03c0 = 3.8197\u2026<\/code>, so the imperial <strong>SFM to RPM<\/strong> conversion is commonly written as <code>(SFM \u00d7 3.82) \/ D<\/code>. The still-looser constant 4 gives a higher result.<\/li>\n<\/ul>\n<p>The distinction is small in some cases and meaningful in others. Using 320 instead of <code>1000\/\u03c0<\/code> makes the calculated metric RPM about 0.53% high. Using 4 instead of <code>12\/\u03c0<\/code> makes the imperial result about 4.72% high. That difference then carries into any feed rate calculated from RPM.<\/p>\n<p>Keep the \u03c0-based equation in setup documentation and spreadsheets. Round the final result only to a command the machine can use. A rounded shortcut can be a quick check, but it should not hide the unit system or become an unexplained constant.<\/p>\n<h2 id=\"section-2\">Choose the surface that is actually moving through the cut<\/h2>\n<p>Diameter is not a generic field. It represents the surface whose tangential speed is being converted.<\/p>\n<p>Identify the rotating surface at the cut. Record whether D is the cutter diameter, workpiece diameter or a geometry-specific effective diameter so the calculation can be repeated correctly.<\/p>\n<div aria-label=\"Comparison table; scroll horizontally on small screens\" class=\"table-wrap\" role=\"region\" tabindex=\"0\"><table>\n<thead>\n<tr>\n<th>Operation<\/th>\n<th>Diameter used in the conversion<\/th>\n<th>Feed model after RPM is chosen<\/th>\n<th>Condition to check<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Milling<\/td>\n<td>Rotating cutter outside diameter, or a toolmaker-defined effective diameter where geometry changes it<\/td>\n<td>Feed per tooth \u00d7 flutes \u00d7 RPM<\/td>\n<td>Partial radial engagement can invoke chip thinning<\/td>\n<\/tr>\n<tr>\n<td>Drilling<\/td>\n<td>Drill outside diameter for the basic circumference conversion<\/td>\n<td>Feed per revolution \u00d7 RPM<\/td>\n<td>Use drill- and operation-specific feed guidance<\/td>\n<\/tr>\n<tr>\n<td>Turning<\/td>\n<td>Workpiece diameter at the cutting location<\/td>\n<td>Feed per revolution \u00d7 RPM<\/td>\n<td>Surface speed changes with diameter at fixed RPM<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n<p>For a conventional <a href=\"https:\/\/www.sundicuttingtools.com\/products\/carbide-milling-cutter\/\">solid carbide end mill<\/a> or drill, the basic calculation uses the rotating tool diameter. Some cutter geometries do not cut at their nominal outside diameter in every toolpath. In those cases, use the effective-diameter method supplied for that geometry rather than inventing a correction.<\/p>\n<figure><img loading=\"lazy\" decoding=\"async\" alt=\"Two helical cutting tools against a dark background\" height=\"600\" loading=\"lazy\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2026\/09\/sundi-endmills-800x600-1.webp\" width=\"800\"\/><figcaption>Record the actual cutter diameter. Tool appearance alone does not establish a cutting-speed value.<\/figcaption><\/figure>\n<h3>Cutting speed formula for turning and lathe work<\/h3>\n<p>In turning, use the <strong>workpiece diameter at the cutting location<\/strong>, not the insert size. The equations above are unchanged. If RPM stays fixed while the tool moves to a smaller workpiece diameter, surface speed falls.<\/p>\n<p>A lathe&#8217;s constant-surface-speed control can change RPM as diameter changes, but it still needs a programmed RPM ceiling and secure workholding. Record the diameter used alongside the speed calculation.<\/p>\n<h2 id=\"section-3\">RPM is not feed<\/h2>\n<p>The cutting speed formula ends at RPM. Feed requires another input and an operation-specific model.<\/p>\n<p>For milling:<\/p>\n<p><strong>feed rate = RPM \u00d7 number of flutes \u00d7 feed per tooth<\/strong><\/p>\n<p>Feed per tooth is not produced by the speed equation. It comes from tool and application data conditioned by the material, cutter geometry, engagement, setup, and desired result.<\/p>\n<p>For drilling and turning, feed is commonly programmed per revolution:<\/p>\n<p><strong>linear feed rate = RPM \u00d7 feed per revolution<\/strong><\/p>\n<p>Do not move a milling feed-per-tooth value into a turning or drilling calculation merely because the RPM equation looks similar. The circumference relationship is shared; the feed model is not.<\/p>\n<p>Milling also has a geometry limit. Below roughly half the cutter diameter in radial engagement, chip thinning can make programmed feed per tooth different from actual chip thickness. The simple milling feed equation still performs its arithmetic, but the feed-per-tooth input may need a geometry-specific correction. Use the cutter supplier&#8217;s chip-thinning or effective-diameter method for that toolpath.<\/p>\n<figure><img loading=\"lazy\" decoding=\"async\" alt=\"Close view of a milling cutter and metal workpiece\" height=\"600\" loading=\"lazy\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2026\/09\/4bb86cfff396f9543bec5064ea371d21_800x600.webp\" width=\"800\"\/><figcaption>Spindle rotation and tool advance are separate inputs: calculate feed from the RPM that will actually run.<\/figcaption><\/figure>\n<h2 id=\"section-4\">Worked examples: metric and imperial<\/h2>\n<p>The following numbers are assumed inputs chosen only to show the arithmetic. They are not cutting-speed recommendations for a material, tool, or operation.<\/p>\n<h3>Metric example: Vc to RPM<\/h3>\n<p>Assume:<\/p>\n<ul>\n<li><code>Vc = 100 m\/min<\/code><\/li>\n<li><code>D = 10 mm<\/code><\/li>\n<\/ul>\n<p>Substitute the values without changing units:<\/p>\n<p><strong>n = (100 \u00d7 1000) \/ (\u03c0 \u00d7 10) = 3,183.1 RPM<\/strong><\/p>\n<p>A practical command might be 3,180 RPM if the machine accepts that increment. At about 3,183 RPM, the 10 mm active diameter produces the assumed 100 m\/min surface speed.<\/p>\n<h3>Imperial example: SFM to RPM<\/h3>\n<p>Assume:<\/p>\n<ul>\n<li><code>SFM = 300 ft\/min<\/code><\/li>\n<li><code>D = 0.500 in<\/code><\/li>\n<\/ul>\n<p>Using the exact equation:<\/p>\n<p><strong>RPM = (300 \u00d7 12) \/ (\u03c0 \u00d7 0.500) = 2,291.8 RPM<\/strong><\/p>\n<p>The rounded 3.82 check gives <code>(300 \u00d7 3.82) \/ 0.500 = 2,292 RPM<\/code>. The close agreement is expected because 3.82 is a rounded form of <code>12\/\u03c0<\/code>.<\/p>\n<figure class=\"video\"><iframe allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen=\"\" loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/cplhXKqJQbs?feature=oembed&amp;playsinline=1\" title=\"CNC Milling Cutting Speed Formula Explained | How to Calculate RPM &amp; Feed Rate\"><\/iframe><figcaption>Video: cutting speed, spindle RPM and feed-rate calculation.<\/figcaption><\/figure>\n<h2 id=\"section-5\">When the machine cannot run the calculated RPM<\/h2>\n<p>Suppose the metric example is assigned to a spindle limited to 2,500 RPM. Do not enter 3,183 RPM and assume the control will make every related value safe. Retain a permitted command, then calculate the surface speed the machine will actually produce:<\/p>\n<p><strong>Vc = (\u03c0 \u00d7 D \u00d7 n) \/ 1000<\/strong><\/p>\n<p>For <code>D = 10 mm<\/code> and <code>n = 2,500 RPM<\/code>:<\/p>\n<p><strong>Vc = (\u03c0 \u00d7 10 \u00d7 2500) \/ 1000 = 78.5 m\/min<\/strong><\/p>\n<p>Now evaluate 78.5 m\/min against the conditioned tool\/application data. Also check whether the spindle has suitable torque and power at 2,500 RPM; an RPM limit is not the only machine limit.<\/p>\n<p>Feed must be recalculated from the RPM that will actually run. For example, if an application-specific milling input had already established four flutes and <code>0.05 mm\/tooth<\/code>, then:<\/p>\n<p><strong>feed rate = 2,500 \u00d7 4 \u00d7 0.05 = 500 mm\/min<\/strong><\/p>\n<p>The <code>0.05 mm\/tooth<\/code> value is another assumed teaching input, not a recommendation. Its purpose is to show why feed cannot remain attached to the rejected 3,183 RPM value.<\/p>\n<p>Blindly lowering feed can make the edge rub instead of form the intended chip, adding heat. Blindly retaining or increasing feed per tooth can overload the edge or crowd chip evacuation. If the cutting-speed input, chip-load input, machine limit, or geometry method is unknown, stop the calculation and obtain qualified application data before cutting.<\/p>\n<figure><img loading=\"lazy\" decoding=\"async\" alt=\"A set of helical cutting tools with different geometries\" height=\"600\" loading=\"lazy\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2026\/09\/sundi-cutter-set-800x600-1.webp\" width=\"800\"\/><figcaption>Diameter, flute count and geometry belong in the setup record; the same RPM does not give every cutter the same surface speed.<\/figcaption><\/figure>\n<style>\n.csf-jump{display:inline-block;background:#2b5f9e;color:#fff!important;text-decoration:none!important;padding:10px 20px;border-radius:3px;font-weight:600;margin-top:16px}.csf-jump:hover{background:#214c80}.csf-calc{background:linear-gradient(100deg,#edf3f8,#f9fbfc 62%,#eef6f6);border-left:7px solid #2b5f9e;padding:32px;margin:36px 0;color:#182d4f}.csf-calc h2{margin:0 0 14px;scroll-margin-top:120px}.csf-calc .eyebrow{color:#2b5f9e;font-size:12px;font-weight:800;letter-spacing:.1em;text-transform:uppercase}.csf-layout{display:grid;grid-template-columns:minmax(0,1.3fr) minmax(0,1fr);gap:30px}.csf-fields{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:16px}.csf-calc label{display:block;font-size:14px;font-weight:600;color:#314864}.csf-calc input,.csf-calc select{width:100%;min-width:0;padding:10px;margin-top:6px;border:1px solid #bfd0dc;background:#fff;font:inherit;color:#182d4f;border-radius:2px}.csf-calc :focus-visible,.csf-jump:focus-visible{outline:3px solid #2b5f9e;outline-offset:3px}.csf-results{border-left:1px solid #b8cbd2;padding-left:26px}.csf-results dt{font-size:12px;color:#5b6e87;text-transform:uppercase;letter-spacing:.06em}.csf-results dd{margin:3px 0 20px;font-size:28px;line-height:1.2;font-weight:700;overflow-wrap:anywhere}.csf-calc small{font-size:13px;line-height:1.5;color:#5b6e87;display:block}.csf-calc .csf-note{border-top:1px solid #cad9df;padding-top:16px;margin-top:22px;font-size:14px}.csf-calc button{background:#fff;color:#2b5f9e;border:1px solid #2b5f9e;padding:9px 14px;font:inherit;cursor:pointer;margin:14px 8px 0 0}.csf-calc [hidden]{display:none!important}.csf-error{color:#9f2828;font-size:14px}.csf-status{font-size:14px;color:#314864}@media(max-width:760px){.csf-calc{padding:22px 18px}.csf-layout{grid-template-columns:1fr}.csf-results{border-left:0;border-top:1px solid #b8cbd2;padding:20px 0 0}}@media(max-width:440px){.csf-fields{grid-template-columns:1fr}}\n<\/style>\n<section aria-labelledby=\"csf-calculator-title\" class=\"csf-calc\" id=\"csf-calculator\">\n<p class=\"eyebrow\">Interactive calculation<\/p>\n<h2 id=\"csf-calculator-title\" tabindex=\"-1\">Cutting speed to RPM calculator<\/h2>\n<p>Enter the cutting speed selected for your tool and material, then the active diameter. Add feed data or a spindle limit if available.<\/p>\n<div class=\"csf-layout\">\n<div>\n<div class=\"csf-fields\">\n<label>Units<select id=\"csf-units\"><option value=\"metric\">Metric \u2014 mm, m\/min<\/option><option value=\"imperial\">Imperial \u2014 in, ft\/min<\/option><\/select><\/label>\n<label>Operation<select id=\"csf-operation\"><option value=\"milling\">Milling<\/option><option value=\"drilling\">Drilling<\/option><option value=\"turning\">Turning<\/option><\/select><\/label>\n<label><span id=\"csf-speed-label\">Cutting speed (m\/min)<\/span><input aria-describedby=\"csf-error\" id=\"csf-speed\" inputmode=\"decimal\" min=\"0\" step=\"any\" type=\"number\"\/><\/label>\n<label><span id=\"csf-diameter-label\">Cutter diameter (mm)<\/span><input aria-describedby=\"csf-error\" id=\"csf-diameter\" inputmode=\"decimal\" min=\"0\" step=\"any\" type=\"number\"\/><\/label>\n<label><span id=\"csf-feed-label\">Feed per tooth (mm\/tooth) \u2014 optional<\/span><input id=\"csf-feed\" inputmode=\"decimal\" min=\"0\" step=\"any\" type=\"number\"\/><\/label>\n<label id=\"csf-flutes-label\">Flutes \u2014 needed for milling feed<input id=\"csf-flutes\" inputmode=\"numeric\" min=\"1\" step=\"1\" type=\"number\"\/><\/label>\n<label>Spindle RPM limit \u2014 optional<input id=\"csf-limit\" inputmode=\"decimal\" min=\"0\" step=\"any\" type=\"number\"\/><\/label>\n<\/div>\n<button id=\"csf-example\" type=\"button\">Load article example<\/button><button id=\"csf-reset\" type=\"button\">Clear inputs<\/button>\n<p class=\"csf-error\" id=\"csf-error\" role=\"alert\"><\/p>\n<\/div>\n<div aria-atomic=\"true\" aria-live=\"polite\" class=\"csf-results\">\n<dl><dt>Calculated spindle speed<\/dt><dd id=\"csf-rpm\">\u2014<\/dd><dt>RPM after optional limit<\/dt><dd id=\"csf-used\">\u2014<\/dd><dt>Surface speed at this RPM<\/dt><dd id=\"csf-actual\">\u2014<\/dd><dt>Linear feed rate<\/dt><dd id=\"csf-result-feed\">\u2014<\/dd><\/dl>\n<p class=\"csf-status\" id=\"csf-status\">Enter cutting speed and diameter to calculate.<\/p>\n<\/div>\n<\/div>\n<p class=\"csf-note\" id=\"csf-equations\">RPM = (Vc \u00d7 1000) \/ (\u03c0 \u00d7 D). Milling feed = RPM \u00d7 flutes \u00d7 feed per tooth.<\/p>\n<small>Results are arithmetic outputs, not recommended cutting conditions. The RPM limit caps the calculation; it does not verify torque, power, workholding or tool suitability. Feed uses the unrounded RPM after the limit. Recalculate after rounding a machine command. Example values are for teaching only.<\/small>\n<noscript><p>Enable JavaScript to use this calculator. The original equations and worked examples remain available above.<\/p><\/noscript>\n<\/section>\n\n<h2 id=\"section-6\">Record a setting that can be checked and reused<\/h2>\n<p>Before the first cut, record the chain that produced the command:<\/p>\n<ol>\n<li><strong>Work material:<\/strong> grade, hardness or condition where known, and stock state.<\/li>\n<li><strong>Tool:<\/strong> identity, cutting material, diameter, flute count where applicable, and condition.<\/li>\n<li><strong>Speed input:<\/strong> selected Vc or SFM, its source, and the conditions attached to it.<\/li>\n<li><strong>Conversion:<\/strong> equation and unit system, calculated RPM, commanded RPM, and actual surface speed after any cap or rounding.<\/li>\n<li><strong>Feed:<\/strong> feed per tooth or feed per revolution, its source, and the equation used to obtain linear feed.<\/li>\n<li><strong>Setup:<\/strong> radial and axial engagement, holder, measured runout where relevant, stickout, workholding, coolant delivery, and chip evacuation.<\/li>\n<li><strong>Observation:<\/strong> spindle load, chip form and colour, sound, finish, wear, and any one controlled adjustment made after the first check.<\/li>\n<\/ol>\n<p>For subsequent adjustments, change one variable at a time where the process permits and keep the observation with the setting.<\/p>\n<p>A reusable setting is the recorded, observed result under those conditions\u2014not the calculator output alone.<\/p>\n<\/article>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f6bc986 elementor-widget elementor-widget-html\" data-id=\"f6bc986\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BlogPosting\",\"headline\":\"Cutting Speed Formula: Convert Surface Speed to RPM Without Mixing Units or Operations\",\"description\":\"Use the cutting speed formula to convert Vc or SFM to RPM, choose the correct active diameter, separate feed models, and check machine limits.\",\"mainEntityOfPage\":\"https:\/\/www.sundicuttingtools.com\/news\/technology-articles\/cutting-speed-formula\/\",\"image\":\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2026\/09\/797dc0de0fd4bc7864ff67efe689b81f_800x600.webp\"}<\/script>\n<!-- agent4-owner-approved-inline-scripts -->\n<script>\n(()=>{'use strict';const root=document.getElementById('csf-calculator');if(!root||root.dataset.ready)return;root.dataset.ready='1';const get=id=>root.querySelector('#csf-'+id);const inputs=['speed','diameter','feed','flutes','limit'];let oldUnits='metric';const fmt=x=>new Intl.NumberFormat('en-US',{maximumFractionDigits:2}).format(x);const value=id=>get(id).value.trim()===''?null:Number(get(id).value);const positive=x=>Number.isFinite(x)&&x>0;\nfunction calculate(){const metric=get('units').value==='metric',mill=get('operation').value==='milling',unit=metric?'mm':'in';get('speed-label').textContent='Cutting speed ('+(metric?'m\/min':'ft\/min')+')';get('diameter-label').textContent=({milling:'Cutter',drilling:'Drill',turning:'Workpiece'}[get('operation').value])+' diameter ('+unit+')';get('feed-label').textContent='Feed per '+(mill?'tooth':'revolution')+' ('+unit+(mill?'\/tooth':'\/rev')+') \u2014 optional';get('flutes-label').hidden=!mill;get('flutes').disabled=!mill;get('equations').textContent=(metric?'RPM = (Vc \u00d7 1000) \/ (\u03c0 \u00d7 D).':'RPM = (SFM \u00d7 12) \/ (\u03c0 \u00d7 D).')+' '+(mill?'Milling feed = RPM \u00d7 flutes \u00d7 feed per tooth.':'Linear feed = RPM \u00d7 feed per revolution.');['rpm','used','actual','result-feed'].forEach(id=>get(id).textContent='\u2014');get('error').textContent='';get('status').textContent='Enter cutting speed and diameter to calculate.';\nconst speed=value('speed'),d=value('diameter'),feed=value('feed'),flutes=value('flutes'),cap=value('limit');for(const id of inputs)get(id).removeAttribute('aria-invalid');let bad=[];for(const id of ['speed','diameter','limit'])if(value(id)!==null&&!positive(value(id))){get(id).setAttribute('aria-invalid','true');bad.push(id);}if(bad.length){get('error').textContent='Use positive finite numbers for cutting speed, diameter and any RPM limit.';return;}if(speed===null||d===null)return;\nconst rpm=speed*(metric?1000:12)\/(Math.PI*d),used=cap===null?rpm:Math.min(rpm,cap),actual=Math.PI*d*used\/(metric?1000:12);if(!positive(rpm)||!positive(used)||!positive(actual)){get('error').textContent='These inputs exceed the calculation range. Check the values and units.';return;}\nget('rpm').textContent=fmt(rpm)+' RPM';get('used').textContent=fmt(used)+' RPM';get('actual').textContent=fmt(actual)+(metric?' m\/min':' ft\/min');get('status').textContent=cap!==null&&cap<rpm?'RPM is capped. Review the lower surface speed for your application.':'No RPM reduction applied.';\nif(feed===null){get('status').textContent+=' Enter feed data to calculate linear feed.';return;}if(!positive(feed)){get('feed').setAttribute('aria-invalid','true');get('error').textContent='Feed per tooth or revolution must be greater than zero.';return;}if(mill&&(!positive(flutes)||!Number.isInteger(flutes))){get('flutes').setAttribute('aria-invalid','true');get('error').textContent='Enter a positive whole-number flute count to calculate milling feed.';return;}const linear=used*feed*(mill?flutes:1);if(!positive(linear)){get('error').textContent='Feed result is outside the calculation range.';return;}get('result-feed').textContent=fmt(linear)+' '+unit+'\/min';}\nroot.querySelectorAll('input').forEach(el=>el.addEventListener('input',calculate));get('units').addEventListener('change',()=>{const now=get('units').value;if(now!==oldUnits){const toMetric=now==='metric';for(const [id,factor]of [['speed',0.3048],['diameter',25.4],['feed',25.4]]){const n=value(id);if(n!==null&&Number.isFinite(n))get(id).value=Number((toMetric?n*factor:n\/factor).toPrecision(12));}oldUnits=now;}calculate();});get('operation').addEventListener('change',()=>{get('feed').value='';get('flutes').value='';calculate();get('status').textContent+=' Feed inputs cleared for the new operation.';});get('reset').addEventListener('click',()=>{inputs.forEach(id=>get(id).value='');calculate();});get('example').addEventListener('click',()=>{get('units').value='metric';oldUnits='metric';get('operation').value='milling';for(const[id,v]of Object.entries({speed:100,diameter:10,feed:0.05,flutes:4,limit:2500}))get(id).value=v;calculate();});calculate();})();\n<\/script>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-5ecb773d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" 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elementor-global-21473 elementor-widget-bdt-fancy-list\" data-id=\"17740155\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"bdt-fancy-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"bdt-fancy-list bdt-fancy-list-style-1\">\n\t\t\t<ul class=\"bdt-list bdt-fancy-list-group\" class=\"bdt-fancy-list-icon\">\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-turning\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Turning-2-300x300.png\" class=\"attachment-medium size-medium\" alt=\"TURNING APPLICATION\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Turning-2.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Turning-2-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tTURNING APPLICATION\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-milling\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Milling-2-300x300.png\" class=\"attachment-medium size-medium\" alt=\"MILLING APPLICATION\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Milling-2.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Milling-2-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tMILLING APPLICATION\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-drilling\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Drilling-2-300x300.png\" class=\"attachment-medium size-medium\" alt=\"DRILLING APPLICATION\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Drilling-2.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Drilling-2-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tDRILLING APPLICATION\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-reamer\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Reamer-2-300x300.png\" class=\"attachment-medium size-medium\" alt=\"REAMING APPLICATION\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Reamer-2.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Reamer-2-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tREAMING APPLICATION\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-custom-made\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Diamond-Dresser-2-1-300x300.png\" class=\"attachment-medium size-medium\" alt=\"CUSTOM MADE TOOLS\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Diamond-Dresser-2-1.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Diamond-Dresser-2-1-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tCUSTOM MADE TOOLS\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t\t<a class=\"bdt-fancy-list-wrap\" href=\"https:\/\/www.sundicuttingtools.com\/products\/products-wood-working\/\">\t\t\t\t\t\t<div class=\"bdt-flex flex-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-img\">\n\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Wood-2-300x300.png\" class=\"attachment-medium size-medium\" alt=\"WOOD WORKING\" srcset=\"https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Wood-2.png 300w, https:\/\/www.sundicuttingtools.com\/wp-content\/uploads\/2023\/04\/Wood-2-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"bdt-fancy-list-content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<h4 class=\"bdt-fancy-list-title\">\n\t\t\t\t\t\t\t\t\t\t\tWOOD WORKING\t\t\t\t\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<\/ul>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-7c65523b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7c65523b\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;sticky&quot;:&quot;top&quot;,&quot;sticky_on&quot;:[&quot;desktop&quot;],&quot;sticky_offset&quot;:150,&quot;background_background&quot;:&quot;classic&quot;,&quot;sticky_parent&quot;:&quot;yes&quot;,&quot;sticky_effects_offset&quot;:0,&quot;sticky_anchor_link_offset&quot;:0}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-7563cd33\" data-id=\"7563cd33\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5a065eef elementor-widget elementor-widget-heading\" data-id=\"5a065eef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span class=\"elementor-heading-title elementor-size-default\">Send your inquiry today<\/span>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-354fdc38 fluentform-widget-submit-button-custom elementor-widget elementor-widget-elementskit-fluent-forms\" data-id=\"354fdc38\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"elementskit-fluent-forms.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"ekit-wid-con\">\n            <div class=\"fluentform-widget-wrapper fluentform-widget-align-default\">\n\n                \n                <div class='fluentform ff-default fluentform_wrapper_7 ffs_default_wrap'><form data-form_id=\"7\" id=\"fluentform_7\" class=\"frm-fluent-form fluent_form_7 ff-el-form-top ff_form_instance_7_1 ff-form-loading ffs_default\" data-form_instance=\"ff_form_instance_7_1\" method=\"POST\" 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<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Use the cutting speed formula to convert Vc or SFM to RPM, choose the correct active diameter, separate feed models, and check machine 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