{"id":56,"date":"2026-10-03T12:07:08","date_gmt":"2026-10-03T11:07:08","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/calculadora-aceleracao-angular\/"},"modified":"2026-10-03T12:07:08","modified_gmt":"2026-10-03T11:07:08","slug":"calculadora-aceleracao-angular","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-aceleracao-angular\/","title":{"rendered":"Calculadora de Acelera\u00e7\u00e3o Angular"},"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\">Calcular a acelera\u00e7\u00e3o angular a partir da varia\u00e7\u00e3o da velocidade de rota\u00e7\u00e3o ou do torque<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"56\" data-favorite-title=\"Acelera\u00e7\u00e3o Angular\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-aceleracao-angular\/\" data-favorite-excerpt=\"Calcule a acelera\u00e7\u00e3o angular (\u03b1) em rad\/s\u00b2 a partir da varia\u00e7\u00e3o da velocidade angular no tempo ou a partir do torque e do momento de in\u00e9rcia. Introduza os valores que conhece e obtenha convers\u00f5es instant\u00e2neas de unidades.\" 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-aceleracao-angular\/\" method=\"POST\" class=\"calculator\" id=\"calculator-56\" data-post=\"56\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">M\u00e9todo de c\u00e1lculo<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"mtodo_de_clculo\"><option value=\"vel\" selected>A partir da varia\u00e7\u00e3o da velocidade angular (\u03c9 = \u03c9\u2082 \u2212 \u03c9\u2081 em \u0394t)<\/option><option value=\"torque\">A partir do torque e do momento de in\u00e9rcia (\u03b1 = \u03c4 \/ I)<\/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=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">A partir da varia\u00e7\u00e3o da velocidade angular<\/span><\/div><div class=\"field is-single has-term\" id=\"input-3\"><label for=\"field-3\">Velocidade angular inicial (\u03c9\u2081)<\/label><div class=\"term\">\u03c9\u2081<\/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=\"velocidade_angular_inicial_\" id=\"field-3\" aria-describedby=\"calc-info-3\" placeholder=\"e.g. 10\" step=\"any\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"rads\" selected>rad\/s<\/option><option value=\"rpm\">rpm<\/option><option value=\"degs\">deg\/s<\/option><option value=\"hz\">rev\/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><small id=\"calc-info-3\">Velocidade de rota\u00e7\u00e3o no in\u00edcio do intervalo. Valores negativos indicam rota\u00e7\u00e3o no sentido oposto.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-4\"><label for=\"field-5\">Velocidade angular final (\u03c9\u2082)<\/label><div class=\"term\">\u03c9\u2082<\/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=\"velocidade_angular_final_\" id=\"field-5\" aria-describedby=\"calc-info-5\" placeholder=\"e.g. 25\" step=\"any\" value=\"25\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"rads\" selected>rad\/s<\/option><option value=\"rpm\">rpm<\/option><option value=\"degs\">deg\/s<\/option><option value=\"hz\">rev\/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><small id=\"calc-info-5\">Velocidade de rota\u00e7\u00e3o no final do intervalo.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-5\"><label for=\"field-7\">Intervalo de tempo (\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=\"text\" name=\"intervalo_de_tempo_t\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 5\" min=\"0\" value=\"5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"s\" selected>s<\/option><option value=\"ms\">ms<\/option><option value=\"min\">min<\/option><option value=\"h\">h<\/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-7\">Dura\u00e7\u00e3o da mudan\u00e7a de velocidade. Deve ser maior que zero.<\/small><\/div><div class=\"is-single field\" id=\"input-6\"><span class=\"font-semibold\">A partir do torque e do momento de in\u00e9rcia<\/span><\/div><div class=\"field is-single has-term\" id=\"input-7\"><label for=\"field-10\">Torque (\u03c4)<\/label><div class=\"term\">\u03c4<\/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=\"torque_\" id=\"field-10\" aria-describedby=\"calc-info-10\" placeholder=\"e.g. 12\" step=\"any\" value=\"12\"\/><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"nm\" selected>N\u00b7m<\/option><option value=\"lbft\">lb\u00b7ft<\/option><option value=\"kgfm\">kgf\u00b7m<\/option><option value=\"ozin\">oz\u00b7in<\/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-10\">Torque resultante aplicado ao corpo em rota\u00e7\u00e3o. Um torque negativo desacelera a rota\u00e7\u00e3o.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-8\"><label for=\"field-12\">Momento de in\u00e9rcia (I)<\/label><div class=\"term\">I<\/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=\"momento_de_inrcia_i\" id=\"field-12\" aria-describedby=\"calc-info-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 4\" min=\"0\" value=\"4\"\/><div class=\"grid grid-cols-1\"><select id=\"field-13\" name=\"unidade\" aria-label=\"Unidade\"><option value=\"kgm2\" selected>kg\u00b7m\u00b2<\/option><option value=\"lbft2\">lb\u00b7ft\u00b2<\/option><option value=\"gcm2\">g\u00b7cm\u00b2<\/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-12\">In\u00e9rcia rotacional do corpo em rela\u00e7\u00e3o ao eixo de giro. Disco s\u00f3lido em torno do seu eixo: \u00bdmR\u00b2; esfera s\u00f3lida: \u2156mR\u00b2.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"56\">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 acelera\u00e7\u00e3o angular<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Acelera\u00e7\u00e3o angular (\u03b1)<\/span><span class=\"result-term\">\u03b1<\/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>Varia\u00e7\u00e3o da velocidade angular (\u0394\u03c9)<\/span><span class=\"result-term\">\u0394\u03c9<\/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=\"56\" 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 Acelera\u00e7\u00e3o Angular<\/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\\[ \\alpha = \\frac{\\omega_2 - \\omega_1}{\\Delta t} \\qquad \\text{ou} \\qquad \\alpha = \\frac{\\tau}{I} \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>onde:<\/strong><\/p>\n<ul>\n<li>\\(\\alpha\\) \u2014 acelera\u00e7\u00e3o angular (rad\/s\u00b2)<\/li>\n<li>\\(\\omega_1\\) \u2014 velocidade angular inicial (rad\/s)<\/li>\n<li>\\(\\omega_2\\) \u2014 velocidade angular final (rad\/s)<\/li>\n<li>\\(\\Delta t\\) \u2014 intervalo de tempo durante o qual a velocidade varia (s)<\/li>\n<li>\\(\\tau\\) \u2014 torque resultante aplicado ao corpo (N\u00b7m)<\/li>\n<li>\\(I\\) \u2014 momento de in\u00e9rcia em rela\u00e7\u00e3o ao eixo de rota\u00e7\u00e3o (kg\u00b7m\u00b2)<\/li>\n<\/ul>\n<p>A primeira f\u00f3rmula \u00e9 a defini\u00e7\u00e3o de acelera\u00e7\u00e3o angular como a taxa de varia\u00e7\u00e3o da velocidade angular. A segunda \u00e9 a segunda lei de Newton para a rota\u00e7\u00e3o: a acelera\u00e7\u00e3o angular produzida por um torque resultante num corpo com in\u00e9rcia rotacional \\(I\\).<\/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>Acelera\u00e7\u00e3o Angular \u2013 Exemplo de C\u00e1lculo<\/h2><\/div>\r\n\r\n<p>{example}<\/p>\n<p><strong>Exemplo:<\/strong> um volante de in\u00e9rcia acelera de 10 rad\/s para 25 rad\/s em 5 segundos enquanto um motor o leva at\u00e9 a velocidade de regime.<\/p>\n<p>\\[ \\alpha = \\frac{\\omega_2 - \\omega_1}{\\Delta t} = \\frac{25 - 10}{5} = 3 \\text{ rad\/s}^2 \\]<\/p>\n<p>\\[ \\Delta\\omega = \\omega_2 - \\omega_1 = 15 \\text{ rad\/s} \\approx 143.24 \\text{ rpm} \\]<\/p>\n<p><strong>Resultado:<\/strong> a acelera\u00e7\u00e3o angular \u00e9 \\(\\alpha = 3\\) rad\/s\u00b2 (\u2248 28,65 rpm\/s, \u2248 171,89 \u00b0\/s\u00b2) e a varia\u00e7\u00e3o total da velocidade angular \u00e9 15 rad\/s.<\/p>\n<p>Pode verificar o mesmo resultado pelo m\u00e9todo do torque: um torque resultante de \\(\\tau = 12\\) N\u00b7m aplicado a um corpo com momento de in\u00e9rcia \\(I = 4\\) kg\u00b7m\u00b2 d\u00e1 \\(\\alpha = \\tau \/ I = 12 \/ 4 = 3\\) rad\/s\u00b2.<\/p>\n<p>{\/example}<\/p>\n\r\n<\/section>\n<h2>Como usar a calculadora<\/h2>\n<ol>\n<li>Abra a lista suspensa <strong>M\u00e9todo de c\u00e1lculo<\/strong> e escolha \"A partir da varia\u00e7\u00e3o da velocidade angular\" se conhecer as velocidades, ou \"A partir do torque e do momento de in\u00e9rcia\" se conhecer as for\u00e7as em jogo. S\u00f3 s\u00e3o mostrados os campos do m\u00e9todo selecionado.<\/li>\n<li><strong>M\u00e9todo da velocidade:<\/strong> introduza a <strong>velocidade angular inicial (\u03c9\u2081)<\/strong> e a <strong>velocidade angular final (\u03c9\u2082)<\/strong>, escolhendo a unidade (rad\/s, rpm, \u00b0\/s ou rot\/s) para cada uma. Em seguida, introduza o <strong>intervalo de tempo (\u0394t)<\/strong> em s, ms, min ou h.<\/li>\n<li><strong>M\u00e9todo do torque:<\/strong> introduza o <strong>torque (\u03c4)<\/strong> em N\u00b7m, lb\u00b7ft, kgf\u00b7m ou oz\u00b7in e o <strong>momento de in\u00e9rcia (I)<\/strong> em kg\u00b7m\u00b2, lb\u00b7ft\u00b2 ou g\u00b7cm\u00b2.<\/li>\n<li>Os resultados aparecem imediatamente: a <strong>acelera\u00e7\u00e3o angular (\u03b1)<\/strong> em rad\/s\u00b2, rot\/s\u00b2, rpm\/s e \u00b0\/s\u00b2, al\u00e9m da <strong>varia\u00e7\u00e3o da velocidade angular (\u0394\u03c9)<\/strong> em v\u00e1rias unidades.<\/li>\n<li>Use valores negativos para \u03c9\u2081, \u03c9\u2082 ou \u03c4 para descrever rota\u00e7\u00e3o no sentido oposto ou um torque de desacelera\u00e7\u00e3o. O intervalo de tempo e o momento de in\u00e9rcia devem ser maiores que zero.<\/li>\n<\/ol>\n<h2>O que \u00e9 acelera\u00e7\u00e3o angular?<\/h2>\n<p>A acelera\u00e7\u00e3o angular descreve a rapidez com que a velocidade de rota\u00e7\u00e3o de um objeto em rota\u00e7\u00e3o muda. \u00c9 a contraparte rotacional da acelera\u00e7\u00e3o linear: enquanto a acelera\u00e7\u00e3o linear mede a rapidez com que a velocidade em linha reta varia, a acelera\u00e7\u00e3o angular mede a rapidez com que a velocidade angular varia \u2014 o qu\u00e3o depressa uma roda acelera, abranda ou inverte o sentido. A unidade do SI \u00e9 o radiano por segundo ao quadrado (rad\/s\u00b2).<\/p>\n<p>O sinal do resultado indica o que est\u00e1 acontecendo. Um \u03b1 positivo significa que a rota\u00e7\u00e3o est\u00e1 acelerando (no sentido positivo), enquanto um \u03b1 negativo significa que est\u00e1 abrandando ou invertendo. Note que um corpo em rota\u00e7\u00e3o pode ter uma grande velocidade angular e acelera\u00e7\u00e3o angular nula \u2014 uma turbina girando de forma est\u00e1vel a 3000 rpm n\u00e3o est\u00e1 acelerando de todo, ao passo que um ventilador que atinge a velocidade m\u00e1xima em dois segundos est\u00e1 acelerando durante todo o tempo em que ganha velocidade.<\/p>\n<p>A acelera\u00e7\u00e3o angular liga-se diretamente \u00e0 causa e ao efeito em sistemas rotativos. A segunda lei de Newton para a rota\u00e7\u00e3o, \\(\\tau = I\\alpha\\), diz que um torque resultante produz uma acelera\u00e7\u00e3o angular inversamente proporcional ao momento de in\u00e9rcia: o mesmo torque acelera um volante de in\u00e9rcia leve muito mais depressa do que um pesado. \u00c9 por isso que motores, d\u00ednamos e girosc\u00f3pios s\u00e3o projetados com especial aten\u00e7\u00e3o \u00e0 in\u00e9rcia rotacional. A acelera\u00e7\u00e3o angular conduz tamb\u00e9m naturalmente a grandezas relacionadas \u2014 por exemplo, se depois precisar da for\u00e7a centr\u00edpeta que mant\u00e9m um ponto da periferia em movimento circular, consulte a <a href=\"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-forca-centripeta\/\">calculadora de for\u00e7a centr\u00edpeta<\/a>.<\/p>\n<p>Como a calculadora converte as unidades automaticamente, pode misturar livremente as entradas \u2014 rpm para as velocidades, minutos para o tempo \u2014 e ainda obter \u03b1 em rad\/s\u00b2 junto com rpm\/s e \u00b0\/s\u00b2, que muitas vezes s\u00e3o mais intuitivas nas especifica\u00e7\u00f5es de m\u00e1quinas.<\/p>\n<h2>Premissas, limita\u00e7\u00f5es e dicas<\/h2>\n<ul>\n<li><strong>Assume-se acelera\u00e7\u00e3o constante.<\/strong> O m\u00e9todo da velocidade d\u00e1 a acelera\u00e7\u00e3o angular <em>m\u00e9dia<\/em> no intervalo. Se o torque (e portanto \u03b1) variar \u2014 por exemplo, durante a rampa de arranque de um motor \u2014 o valor instant\u00e2neo em cada momento pode diferir desta m\u00e9dia.<\/li>\n<li><strong>O que importa \u00e9 o torque resultante.<\/strong> No m\u00e9todo do torque, \u03c4 deve ser o torque <em>resultante<\/em>: torque motor aplicado menos os torques de atrito e de carga. Se introduzir apenas o torque nominal do motor enquanto um freio se op\u00f5e a ele, o resultado superestima a acelera\u00e7\u00e3o.<\/li>\n<li><strong>O momento de in\u00e9rcia deve ser em rela\u00e7\u00e3o ao eixo de rota\u00e7\u00e3o.<\/strong> Valores comuns: disco ou cilindro maci\u00e7o \\(I = \\tfrac{1}{2}mR^2\\); esfera maci\u00e7a \\(I = \\tfrac{2}{5}mR^2\\); aro fino \\(I = mR^2\\); massa pontual a um raio \\(r\\) tem \\(I = mr^2\\). Usar o eixo ou a forma errada \u00e9 a fonte de erro mais comum.<\/li>\n<li><strong>Os sinais t\u00eam significado.<\/strong> Sinais opostos de \u03c9 e \u03b1 significam que o objeto est\u00e1 desacelerando; sinais iguais significam que est\u00e1 a acelerar. Um \u03c9 negativo indica apenas rota\u00e7\u00e3o no sentido oposto ao positivo.<\/li>\n<li><strong>A energia rotacional n\u00e3o \u00e9 calculada aqui.<\/strong> Se quiser a energia cin\u00e9tica armazenada no corpo em rota\u00e7\u00e3o (\\(E = \\tfrac{1}{2}I\\omega^2\\)) ou um balan\u00e7o energ\u00e9tico de todo o processo, a <a href=\"https:\/\/wpcalc.com\/pt\/fisica\/calculadora-conservacao-de-energia\/\">calculadora de conserva\u00e7\u00e3o de energia<\/a> trata essa parte.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Calcule a acelera\u00e7\u00e3o angular (\u03b1) em rad\/s\u00b2 a partir da varia\u00e7\u00e3o da velocidade angular no tempo ou a partir do torque e do momento de in\u00e9rcia. Introduza os valores que conhece e obtenha convers\u00f5es instant\u00e2neas de unidades.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[10],"tags":[55],"class_list":["post-56","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\/56","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=56"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/56\/revisions"}],"predecessor-version":[{"id":2631,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/56\/revisions\/2631"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=56"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=56"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=56"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}