{"id":55820,"date":"2015-11-06T12:41:16","date_gmt":"2015-11-06T10:41:16","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55820"},"modified":"2026-09-28T09:21:07","modified_gmt":"2026-09-28T06:21:07","slug":"frequency","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/frequency\/","title":{"rendered":"Frequency Converter"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Convert Frequency Between Units<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55820\" data-favorite-title=\"Frequency\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/frequency\/\" data-favorite-excerpt=\"Convert a frequency between Hz, kHz, MHz, GHz, THz, rpm, rad\/s, and deg\/s. Enter a Frequency value, then choose the From unit and To unit.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-physic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/converters\/frequency\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55820\" data-post=\"55820\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Frequency value<\/label><input type=\"text\" name=\"frequency_value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"60\"\/><div class=\"unit\" id=\"calc-unit-1\"><\/div><small id=\"calc-info-1\">Enter the frequency value to convert<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">From unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"from_unit\"><option value=\"Hz\">Hertz (Hz)<\/option><option value=\"kHz\">Kilohertz (kHz)<\/option><option value=\"MHz\">Megahertz (MHz)<\/option><option value=\"GHz\">Gigahertz (GHz)<\/option><option value=\"THz\">Terahertz (THz)<\/option><option value=\"rpm\">Revolutions per minute (rpm)<\/option><option value=\"rad\/s\">Radians per second (rad\/s)<\/option><option value=\"deg\/s\">Degrees per second (deg\/s)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">To unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"to_unit\"><option value=\"Hz\">Hertz (Hz)<\/option><option value=\"kHz\">Kilohertz (kHz)<\/option><option value=\"MHz\">Megahertz (MHz)<\/option><option value=\"GHz\">Gigahertz (GHz)<\/option><option value=\"THz\">Terahertz (THz)<\/option><option value=\"rpm\">Revolutions per minute (rpm)<\/option><option value=\"rad\/s\">Radians per second (rad\/s)<\/option><option value=\"deg\/s\">Degrees per second (deg\/s)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"55820\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Converted Frequency Value<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"55820\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Frequency Conversion Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ f_{\\mathrm{to}}=f_{\\mathrm{from}}\\frac{C_{\\mathrm{from}}}{C_{\\mathrm{to}}} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(f_{\\mathrm{from}}\\) \u2014 the entered Frequency value in the selected From unit<\/li>\n<li>\\(f_{\\mathrm{to}}\\) \u2014 the Converted Frequency Value in the selected To unit<\/li>\n<li>\\(C_{\\mathrm{from}}\\) and \\(C_{\\mathrm{to}}\\) \u2014 the number of hertz represented by one unit of each selected type<\/li>\n<\/ul>\n<p>The calculator first converts the input to hertz, then divides by the hertz-per-unit factor for the target unit. For rotational units, one full revolution is treated as one cycle.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Frequency \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> using the default settings, convert a frequency of 60 hertz to kilohertz.<\/p>\n<p>One kilohertz equals 1,000 hertz, so \\(C_{\\mathrm{from}}=1\\) and \\(C_{\\mathrm{to}}=1{,}000\\).<\/p>\n<p>\\[ 60\\,\\mathrm{Hz}\\times\\frac{1\\,\\mathrm{Hz\/Hz}}{1{,}000\\,\\mathrm{Hz\/kHz}}=0.06\\,\\mathrm{kHz} \\]<\/p>\n<p><strong>Result:<\/strong> 60 Hz = 0.06 kHz.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter a nonnegative number in <strong>Frequency value<\/strong>. The default is 60.<\/li>\n<li>Choose the input unit in <strong>From unit<\/strong>. The default is Hertz (Hz).<\/li>\n<li>Choose the unit you want in <strong>To unit<\/strong>. The default is Kilohertz (kHz).<\/li>\n<li>Read <strong>Converted Frequency Value<\/strong>. The result includes the target unit.<\/li>\n<\/ol>\n<p>To reverse a conversion, swap the From unit and To unit selections and enter the converted number as the new Frequency value. Selecting the same unit in both fields leaves the value unchanged.<\/p>\n<h2>What frequency and rotational rate mean<\/h2>\n<p>Frequency counts how many complete cycles occur per second. One hertz (Hz) means one cycle per second; hertz is the SI derived unit of frequency. The metric prefixes scale this rate: a kilohertz is 1,000 Hz, a megahertz is one million Hz, a gigahertz is one billion Hz, and a terahertz is one trillion Hz. These units make very small or large cycle rates easier to read without changing the underlying quantity.<\/p>\n<p>Revolutions per minute (rpm) describes complete turns in one minute. Radians per second (rad\/s) and degrees per second (deg\/s) describe how quickly an angle changes. The calculator relates all three to hertz by treating each complete turn\u2014\\(2\\pi\\) radians or 360 degrees\u2014as one cycle. For example, 60 rpm is one revolution per second, or 1 Hz; that same rotation rate is \\(2\\pi\\) rad\/s or 360 deg\/s.<\/p>\n<p>This distinction matters when interpreting a result. A motor turning at 60 rpm has a rotation rate of 1 Hz, but a measurement associated with that motor could repeat more than once per turn. If a sensor produces four pulses per revolution, it produces four pulses per second at 60 rpm. Convert the rotational rate here, then account separately for the number of events per turn.<\/p>\n<p>Frequency also appears in electrical signals, sound, and mechanical vibration. A 60 Hz alternating-current waveform completes 60 cycles each second; that does not mean an attached motor necessarily turns at 60 revolutions per second. When comparing quantities, first check what constitutes one cycle. For related measurements in other units, see the <a href=\"https:\/\/wpcalc.com\/en\/converters\/electric-current\/\">Electric Current converter<\/a>, <a href=\"https:\/\/wpcalc.com\/en\/converters\/sound\/\">Sound converter<\/a>, or <a href=\"https:\/\/wpcalc.com\/en\/converters\/torque\/\">Torque converter<\/a>.<\/p>\n<h2>Conversion factors and practical limits<\/h2>\n<p>The calculator uses hertz as an intermediate unit. The table shows how many hertz correspond to one unit of each supported type:<\/p>\n<table>\n<thead>\n<tr>\n<th>Unit<\/th>\n<th>Equivalent in hertz<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Hz<\/td>\n<td>1 Hz<\/td>\n<\/tr>\n<tr>\n<td>kHz<\/td>\n<td>1,000 Hz<\/td>\n<\/tr>\n<tr>\n<td>MHz<\/td>\n<td>1,000,000 Hz<\/td>\n<\/tr>\n<tr>\n<td>GHz<\/td>\n<td>1,000,000,000 Hz<\/td>\n<\/tr>\n<tr>\n<td>THz<\/td>\n<td>1,000,000,000,000 Hz<\/td>\n<\/tr>\n<tr>\n<td>rpm<\/td>\n<td>1\/60 Hz<\/td>\n<\/tr>\n<tr>\n<td>rad\/s<\/td>\n<td>\\(1\/(2\\pi)\\) Hz<\/td>\n<\/tr>\n<tr>\n<td>deg\/s<\/td>\n<td>1\/360 Hz<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>These are unit conversions, not predictions about a physical system. The rad\/s conversion assumes the angle describes a repeating rotation, with one complete cycle per \\(2\\pi\\) radians. For oscillations, angular frequency is often written \\(\\omega=2\\pi f\\); do not confuse its numerical value in rad\/s with the frequency in Hz.<\/p>\n<p>The input does not accept negative values, and the displayed result is rounded to at most 10 decimal places. A very small nonzero result may therefore display as zero in a larger target unit. If that happens, choose a smaller unit, such as Hz instead of GHz, to see a more useful number. A frequency of zero can be converted between units, but it has no finite period: the relationship \\(T=1\/f\\) applies only when \\(f&gt;0\\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert a frequency between Hz, kHz, MHz, GHz, THz, rpm, rad\/s, and deg\/s. Enter a Frequency value, then choose the From unit and To unit.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[34],"class_list":["post-55820","post","type-post","status-publish","format-standard","hentry","category-converters","tag-physics-units"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=55820"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55820\/revisions"}],"predecessor-version":[{"id":65273,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55820\/revisions\/65273"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}