{"id":2139,"date":"2026-10-14T22:44:45","date_gmt":"2026-10-14T21:44:45","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-dilatacao-termica-linear\/"},"modified":"2026-10-14T22:44:45","modified_gmt":"2026-10-14T21:44:45","slug":"calculadora-dilatacao-termica-linear","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-dilatacao-termica-linear\/","title":{"rendered":"Calculadora de dilata\u00e7\u00e3o t\u00e9rmica linear"},"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\">Descubra quanto um material dilata ou contrai com a temperatura<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2139\" data-favorite-title=\"Dilata\u00e7\u00e3o t\u00e9rmica linear\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-dilatacao-termica-linear\/\" data-favorite-excerpt=\"Calcule quanto um material se expande ou se contrai quando sua temperatura muda. Informe o comprimento inicial, o coeficiente de dilata\u00e7\u00e3o e a varia\u00e7\u00e3o de temperatura para obter \u0394L e o comprimento final.\" aria-label=\"Adicionar aos favoritos\" 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\/pt\/fisica\/calculadora-dilatacao-termica-linear\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2139\" data-post=\"2139\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Comprimento inicial (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=\"comprimento_inicial_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=\"unidade\" aria-label=\"Unidade\"><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\">Comprimento do objeto na temperatura inicial.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Coeficiente de dilata\u00e7\u00e3o linear (\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=\"coeficiente_de_dilatao_linear_\" 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=\"unidade\" aria-label=\"Unidade\"><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\">Valores t\u00edpicos \u00e0 temperatura ambiente: alum\u00ednio \u2248 0,000023, lat\u00e3o \u2248 0,000019, cobre \u2248 0,000017, a\u00e7o \u2248 0,000012, vidro \u2248 0,000009, invar \u2248 0,0000012 por \u00b0C.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Varia\u00e7\u00e3o de temperatura (\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=\"variao_de_temperatura_t\" id=\"field-5\" aria-describedby=\"calc-info-5\" placeholder=\"ex.: 50 (use um valor negativo para resfriamento)\" step=\"any\" value=\"50\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"unidade\" aria-label=\"Unidade\"><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\">Temperatura final menos temperatura inicial. Positiva = aquecimento (dilata\u00e7\u00e3o); negativa = resfriamento (contra\u00e7\u00e3o).<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"2139\">Calcular<\/button><button type=\"reset\">Redefinir<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular automaticamente<\/label><small>Se ativado, o resultado \u00e9 atualizado automaticamente quando voc\u00ea altera qualquer valor.<\/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> Resultados da dilata\u00e7\u00e3o t\u00e9rmica<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Varia\u00e7\u00e3o do comprimento (\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=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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>Comprimento final (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=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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\">Copiar link para este c\u00e1lculo<\/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>Deixar um coment\u00e1rio<\/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=\"2139\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">O que voc\u00ea achou deste resultado?<\/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\">Curti <\/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\">\u00datil <\/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\">Confuso <\/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\">Decepcionado <\/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\">Impreciso <\/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>F\u00f3rmula da dilata\u00e7\u00e3o t\u00e9rmica linear<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[\n\\begin{aligned}\n\\Delta L &amp;= \\alpha \\cdot L_0 \\cdot \\Delta T \\\\[6pt]\nL &amp;= 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>Onde:<\/strong><\/p>\n<ul>\n<li>\\(\\Delta L\\) \u2014 varia\u00e7\u00e3o do comprimento (mesma unidade de \\(L_0\\))<\/li>\n<li>\\(\\alpha\\) \u2014 coeficiente de dilata\u00e7\u00e3o linear do material (1\/\u00b0C, 1\/K ou 1\/\u00b0F)<\/li>\n<li>\\(L_0\\) \u2014 comprimento inicial na temperatura de partida<\/li>\n<li>\\(\\Delta T\\) \u2014 varia\u00e7\u00e3o de temperatura (final menos inicial)<\/li>\n<li>\\(L\\) \u2014 comprimento final ap\u00f3s a varia\u00e7\u00e3o de temperatura<\/li>\n<\/ul>\n<p>A f\u00f3rmula expressa o fato de que, em intervalos de temperatura comuns, a varia\u00e7\u00e3o do comprimento de um s\u00f3lido \u00e9 proporcional tanto ao seu comprimento original quanto \u00e0 varia\u00e7\u00e3o de temperatura. Um \\(\\Delta T\\) negativo (resfriamento) simplesmente resulta em um \\(\\Delta L\\) negativo, o que significa que o objeto encolhe.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.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>Dilata\u00e7\u00e3o t\u00e9rmica linear \u2013 exemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> uma barra de a\u00e7o de 2 m (\\(\\alpha = 0.000012\\) 1\/\u00b0C) \u00e9 aquecida em 50 \u00b0C. Quanto ela se alonga e qual \u00e9 o seu comprimento depois?<\/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>Resultado:<\/strong> a barra dilata 1,2 mm e seu comprimento final \u00e9 2,0012 m \u2014 uma varia\u00e7\u00e3o relativa de apenas +0,06 %.<\/p>\n<p>\n\r\n<\/section>\n<h2>Como usar a calculadora<\/h2>\n<ol>\n<li>Informe o <strong>Comprimento inicial (L\u2080)<\/strong> do objeto e escolha sua unidade (mm, cm, m, in ou ft).<\/li>\n<li>Informe o <strong>Coeficiente de dilata\u00e7\u00e3o linear (\u03b1)<\/strong> do seu material e escolha a unidade correspondente (1\/\u00b0C, 1\/K ou 1\/\u00b0F). Valores t\u00edpicos aparecem na dica do campo: a\u00e7o \u2248 0,000012, alum\u00ednio \u2248 0,000023, vidro \u2248 0,000009 por \u00b0C.<\/li>\n<li>Informe a <strong>Varia\u00e7\u00e3o de temperatura (\u0394T)<\/strong> com sua unidade. Use um valor positivo para aquecimento e negativo para resfriamento.<\/li>\n<li>Leia os resultados: a <strong>Varia\u00e7\u00e3o do comprimento (\u0394L)<\/strong> e o <strong>Comprimento final (L)<\/strong>, exibidos na unidade escolhida e em uma tabela com todas as outras unidades comuns.<\/li>\n<\/ol>\n<h2>O que \u00e9 dilata\u00e7\u00e3o t\u00e9rmica linear?<\/h2>\n<p>Quando um s\u00f3lido \u00e9 aquecido, seus \u00e1tomos vibram com mais intensidade e, em m\u00e9dia, ficam ligeiramente mais afastados uns dos outros. O objeto, portanto, cresce em todas as dimens\u00f5es. A <em>dilata\u00e7\u00e3o t\u00e9rmica linear<\/em> descreve a mudan\u00e7a ao longo de uma \u00fanica dimens\u00e3o \u2014 o comprimento de uma barra, trilho, cano ou viga. Como a maioria dos materiais dilata apenas uma fra\u00e7\u00e3o de um ponto percentual nas varia\u00e7\u00f5es de temperatura do dia a dia, a rela\u00e7\u00e3o entre comprimento e temperatura \u00e9 linear com muito boa aproxima\u00e7\u00e3o: dobrar a varia\u00e7\u00e3o de temperatura dobra a varia\u00e7\u00e3o de comprimento.<\/p>\n<p>A constante de proporcionalidade, \\(\\alpha\\), \u00e9 uma propriedade do material. Ela indica quanto um trecho de 1 unidade de comprimento se alonga por grau de aquecimento. Os metais dilatam relativamente bastante (alum\u00ednio, lat\u00e3o, cobre), enquanto materiais como vidro, concreto e, principalmente, o Invar s\u00e3o projetados ou naturalmente escolhidos por sua baixa dilata\u00e7\u00e3o. Note que o pr\u00f3prio \\(\\alpha\\) varia um pouco com a temperatura; os valores na dica do campo s\u00e3o n\u00fameros t\u00edpicos \u00e0 temperatura ambiente.<\/p>\n<p>A varia\u00e7\u00e3o absoluta pode parecer min\u00fascula \u2014 alguns mil\u00edmetros em uma barra de a\u00e7o de 2 m \u2014, mas ela \u00e9 de enorme import\u00e2ncia na engenharia. Os trilhos de ferrovia t\u00eam folgas, as pontes apoiam-se sobre juntas de dilata\u00e7\u00e3o e os oleodutos incluem la\u00e7os de expans\u00e3o justamente porque esses pequenos movimentos, se impedidos, geram for\u00e7as enormes. Por outro lado, o ajuste por contra\u00e7\u00e3o (aquecer um anel para encaix\u00e1-lo em um eixo) aproveita o mesmo efeito. Ao interpretar seu resultado, lembre-se de que um \\(\\Delta L\\) negativo \u00e9 t\u00e3o fisicamente real quanto um positivo: o resfriamento contrai o objeto.<\/p>\n<h2>Premissas, limita\u00e7\u00f5es e dicas pr\u00e1ticas<\/h2>\n<ul>\n<li><strong>Pequenas varia\u00e7\u00f5es de temperatura.<\/strong> A f\u00f3rmula linear assume \\(\\alpha \\, \\Delta T \\ll 1\\) e um \\(\\alpha\\) constante. Para varia\u00e7\u00f5es de centenas de graus, ou perto de mudan\u00e7as de fase, os resultados tornam-se aproximados.<\/li>\n<li><strong>Material isotr\u00f3pico.<\/strong> A calculadora assume que o material dilata igualmente em todas as dire\u00e7\u00f5es. A madeira e muitos comp\u00f3sitos dilatam a taxas diferentes ao longo e transversalmente \u00e0s fibras.<\/li>\n<li><strong>Somente dilata\u00e7\u00e3o livre.<\/strong> O resultado \u00e9 a varia\u00e7\u00e3o de comprimento de um objeto n\u00e3o restringido. Se o objeto estiver fixado, ele n\u00e3o consegue dilatar e, em vez disso, surgem tens\u00f5es \u2014 n\u00e3o h\u00e1 varia\u00e7\u00e3o de comprimento, mas aparecem for\u00e7as grandes.<\/li>\n<li><strong>Consist\u00eancia de unidades.<\/strong> A calculadora faz todas as convers\u00f5es internamente, ent\u00e3o voc\u00ea pode misturar unidades livremente (por exemplo, polegadas com 1\/\u00b0C), mas o coeficiente precisa corresponder ao material real.<\/li>\n<li><strong>De 1\/\u00b0F para 1\/\u00b0C.<\/strong> Um coeficiente em 1\/\u00b0C \u00e9 1,8 vez o valor em 1\/\u00b0F, porque um grau Fahrenheit equivale a apenas 5\/9 de um grau Celsius. A calculadora faz essa convers\u00e3o automaticamente.<\/li>\n<li><strong>Dilata\u00e7\u00e3o volum\u00e9trica.<\/strong> Para l\u00edquidos ou mudan\u00e7as tridimensionais completas, o coeficiente volum\u00e9trico \u00e9 aproximadamente \\(3\\alpha\\). Voc\u00ea tamb\u00e9m pode estimar propriedades relacionadas \u00e0 massa com a <a href=\"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-de-densidade\/\">Calculadora de Densidade<\/a>.<\/li>\n<\/ul>\n<h2>Coeficientes de dilata\u00e7\u00e3o linear t\u00edpicos<\/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>Alum\u00ednio<\/td>\n<td>23<\/td>\n<\/tr>\n<tr>\n<td>Lat\u00e3o<\/td>\n<td>19<\/td>\n<\/tr>\n<tr>\n<td>Cobre<\/td>\n<td>17<\/td>\n<\/tr>\n<tr>\n<td>A\u00e7o (t\u00edpico)<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Vidro (comum)<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>Invar<\/td>\n<td>1,2<\/td>\n<\/tr>\n<tr>\n<td>Concreto<\/td>\n<td>\u2248 12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A dilata\u00e7\u00e3o t\u00e9rmica \u00e9 apenas uma das formas pelas quais a temperatura molda o comportamento f\u00edsico \u2014 ela tamb\u00e9m altera a densidade do ar e at\u00e9 a <a href=\"https:\/\/wpcalc.com\/en\/physics\/speed-of-sound-in-air-calculator\/\">velocidade do som no ar<\/a>. Para a deforma\u00e7\u00e3o mec\u00e2nica causada por for\u00e7as, e n\u00e3o pela temperatura, veja a <a href=\"https:\/\/wpcalc.com\/pt\/fisica\/lei-de-hooke\/\">Calculadora da Lei de Hooke<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calcule quanto um material se expande ou se contrai quando sua temperatura muda. Informe o comprimento inicial, o coeficiente de dilata\u00e7\u00e3o e a varia\u00e7\u00e3o de temperatura para obter \u0394L e o comprimento final.<\/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":[10],"tags":[55],"class_list":["post-2139","post","type-post","status-publish","format-standard","hentry","category-fisica","tag-mecanica"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/comments?post=2139"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2139\/revisions"}],"predecessor-version":[{"id":2746,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2139\/revisions\/2746"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=2139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=2139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=2139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}