{"id":66951,"date":"2026-10-13T10:38:44","date_gmt":"2026-10-13T07:38:44","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66951"},"modified":"2026-10-13T11:58:16","modified_gmt":"2026-10-13T08:58:16","slug":"linear-thermal-expansion-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/physics\/linear-thermal-expansion-calculator\/","title":{"rendered":"Linear Thermal Expansion Calculator"},"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\">Find How Much a Material Grows or Shrinks with Temperature<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66951\" data-favorite-title=\"Linear Thermal Expansion\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/physics\/linear-thermal-expansion-calculator\/\" data-favorite-excerpt=\"Calculate how much a material expands or contracts when its temperature changes. Enter the initial length, expansion coefficient and temperature change to get \u0394L and the final length.\" 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\/physics\/linear-thermal-expansion-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66951\" data-post=\"66951\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Initial length (L\u2080)<\/label><div class=\"term\">L\u2080<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"initial_length_l\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 2\" min=\"0\" value=\"2\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"unit\" aria-label=\"Unit\"><option value=\"mm\">mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\" selected>m<\/option><option value=\"in\">in<\/option><option value=\"ft\">ft<\/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><small id=\"calc-info-1\">Length of the object at the starting temperature.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Linear expansion coefficient (\u03b1)<\/label><div class=\"term\">\u03b1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"linear_expansion_coefficient_\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.000012\" min=\"0\" value=\"1.2E-5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"unit\" aria-label=\"Unit\"><option value=\"perC\" selected>1\/\u00b0C<\/option><option value=\"perK\">1\/K<\/option><option value=\"perF\">1\/\u00b0F<\/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><small id=\"calc-info-3\">Typical values at room temperature: aluminum \u2248 0.000023, brass \u2248 0.000019, copper \u2248 0.000017, steel \u2248 0.000012, glass \u2248 0.000009, invar \u2248 0.0000012 per \u00b0C.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Temperature change (\u0394T)<\/label><div class=\"term\">\u0394T<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"temperature_change_t\" id=\"field-5\" aria-describedby=\"calc-info-5\" placeholder=\"e.g. 50 (use a negative value for cooling)\" step=\"any\" value=\"50\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"unit\" aria-label=\"Unit\"><option value=\"c\" selected>\u00b0C<\/option><option value=\"k\">K<\/option><option value=\"f\">\u00b0F<\/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><small id=\"calc-info-5\">Final temperature minus initial temperature. Positive = heating (expansion), negative = cooling (contraction).<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66951\">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> Thermal Expansion Results<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Change in length (\u0394L)<\/span><span class=\"result-term\">\u0394L<\/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 class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Final length (L)<\/span><span class=\"result-term\">L<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/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=\"66951\" 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>Linear Thermal Expansion 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\\[\n\\begin{aligned}\n\\Delta L &= \\alpha \\cdot L_0 \\cdot \\Delta T \\\\[6pt]\nL &= L_0 + \\Delta L = L_0 \\left( 1 + \\alpha \\, \\Delta T \\right)\n\\end{aligned}\n\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(\\Delta L\\) \u2014 change in length (same unit as \\(L_0\\))<\/li>\n<li>\\(\\alpha\\) \u2014 linear expansion coefficient of the material (1\/\u00b0C, 1\/K or 1\/\u00b0F)<\/li>\n<li>\\(L_0\\) \u2014 initial length at the starting temperature<\/li>\n<li>\\(\\Delta T\\) \u2014 temperature change (final minus initial)<\/li>\n<li>\\(L\\) \u2014 final length after the temperature change<\/li>\n<\/ul>\n<p>The formula expresses the fact that, over ordinary temperature ranges, the length change of a solid is proportional to both its original length and the temperature change. A negative \\(\\Delta T\\) (cooling) simply gives a negative \\(\\Delta L\\), meaning the object shrinks.<\/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>Linear Thermal Expansion \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a 2 m steel bar (\\(\\alpha = 0.000012\\) 1\/\u00b0C) is heated by 50 \u00b0C. How much does it lengthen, and how long is it afterwards?<\/p>\n<p>\\[ \\Delta L = \\alpha \\cdot L_0 \\cdot \\Delta T = 0.000012 \\times 2 \\times 50 = 0.0012 \\ \\text{m} = 1.2 \\ \\text{mm} \\\\ \\[4pt] L = L_0 + \\Delta L = 2 + 0.0012 = 2.0012 \\ \\text{m}<br \/>\n\\]<\/p>\n<p><strong>Result:<\/strong> the bar expands by 1.2 mm and its final length is 2.0012 m \u2014 a relative change of only +0.06 %.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Initial length (L\u2080)<\/strong> of the object and pick its unit (mm, cm, m, in or ft).<\/li>\n<li>Enter the <strong>Linear expansion coefficient (\u03b1)<\/strong> for your material and choose the matching unit (1\/\u00b0C, 1\/K or 1\/\u00b0F). Typical values are listed in the field hint: steel \u2248 0.000012, aluminum \u2248 0.000023, glass \u2248 0.000009 per \u00b0C.<\/li>\n<li>Enter the <strong>Temperature change (\u0394T)<\/strong> with its unit. Use a positive value for heating and a negative value for cooling.<\/li>\n<li>Read the results: the <strong>Change in length (\u0394L)<\/strong> and the <strong>Final length (L)<\/strong>, shown in your chosen unit and in a table of all other common units.<\/li>\n<\/ol>\n<h2>What Is Linear Thermal Expansion?<\/h2>\n<p>When a solid is heated, its atoms vibrate more strongly and, on average, sit slightly farther apart. The object therefore grows in every dimension. <em>Linear thermal expansion<\/em> describes the change along a single dimension \u2014 the length of a bar, rail, pipe or beam. Because most materials expand by only a fraction of a percent over everyday temperature swings, the relationship between length and temperature is linear to a very good approximation: doubling the temperature change doubles the length change.<\/p>\n<p>The constant of proportionality, \\(\\alpha\\), is a property of the material. It tells you how much a 1-unit-long piece stretches per degree of warming. Metals expand relatively strongly (aluminum, brass, copper), while materials like glass, concrete and especially invar are engineered or naturally chosen for low expansion. Note that \\(\\alpha\\) itself varies slightly with temperature; the values in the hint box are typical room-temperature figures.<\/p>\n<p>The absolute change may look tiny \u2014 a few millimetres on a 2 m steel bar \u2014 but it matters enormously in engineering. Railway tracks are gapped, bridges sit on expansion joints, and pipelines include loops precisely because these small movements, if restrained, generate enormous forces. Conversely, a shrink fit (heating a ring so it slides over a shaft) exploits the same effect. When interpreting your result, remember that a negative \\(\\Delta L\\) is just as physically real as a positive one: cooling contracts the object.<\/p>\n<h2>Assumptions, Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>Small temperature changes.<\/strong> The linear formula assumes \\(\\alpha \\, \\Delta T \\ll 1\\) and a constant \\(\\alpha\\). For temperature swings of hundreds of degrees, or near phase changes, results become approximate.<\/li>\n<li><strong>Isotropic material.<\/strong> The calculator assumes the material expands equally in all directions. Wood and many composites expand at different rates along and across the grain.<\/li>\n<li><strong>Free expansion only.<\/strong> The result is the length change of an unrestrained object. If the object is clamped, it cannot expand, and stresses build up instead \u2014 no length change occurs but large forces appear.<\/li>\n<li><strong>Unit consistency.<\/strong> The calculator converts everything internally, so you may freely mix units (e.g. inches with 1\/\u00b0C), but the coefficient must correspond to the actual material.<\/li>\n<li><strong>From 1\/\u00b0F to 1\/\u00b0C.<\/strong> A coefficient in 1\/\u00b0F is 1.8 times the value in 1\/\u00b0C, because one degree Fahrenheit is only 5\/9 of a degree Celsius. The calculator handles this conversion automatically.<\/li>\n<li><strong>Volume expansion.<\/strong> For liquids or full 3D changes, the volumetric coefficient is roughly \\(3\\alpha\\). You can also estimate mass-related properties with the <a href=\"https:\/\/wpcalc.com\/en\/physics\/density-calculator\/\">Density Calculator<\/a>.<\/li>\n<\/ul>\n<h2>Typical Linear Expansion Coefficients<\/h2>\n<table>\n<thead>\n<tr>\n<th>Material<\/th>\n<th>\u03b1 (10\u207b\u2076 1\/\u00b0C)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Aluminum<\/td>\n<td>23<\/td>\n<\/tr>\n<tr>\n<td>Brass<\/td>\n<td>19<\/td>\n<\/tr>\n<tr>\n<td>Copper<\/td>\n<td>17<\/td>\n<\/tr>\n<tr>\n<td>Steel (typical)<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Glass (common)<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>Invar<\/td>\n<td>1.2<\/td>\n<\/tr>\n<tr>\n<td>Concrete<\/td>\n<td>\u2248 12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Thermal expansion is just one of the ways temperature shapes physical behaviour \u2014 it also changes air density and even the <a href=\"https:\/\/wpcalc.com\/en\/physics\/speed-of-sound-in-air-calculator\/\">speed of sound in air<\/a>. For mechanical deformation caused by forces rather than temperature, see the <a href=\"https:\/\/wpcalc.com\/en\/physics\/hookes-law-calculator\/\">Hooke's Law Calculator<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate how much a material expands or contracts when its temperature changes. Enter the initial length, expansion coefficient and temperature change to get \u0394L and the final length.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[62],"tags":[73],"class_list":["post-66951","post","type-post","status-publish","format-standard","hentry","category-physics","tag-mechanics"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66951","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\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66951"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66951\/revisions"}],"predecessor-version":[{"id":67092,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66951\/revisions\/67092"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}