{"id":25232,"date":"2023-04-19T17:31:04","date_gmt":"2023-04-19T16:31:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25232"},"modified":"2023-05-05T15:01:14","modified_gmt":"2023-05-05T14:01:14","slug":"potencia-de-um-motor","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25232","title":{"rendered":"Pot\u00eancia de um motor"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25232' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25232' class='GTTabs_curr'><a  id=\"25232_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25232' ><a  id=\"25232_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_25232'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A pot\u00eancia de um motor pode ser entendida como a energia gerada por este, durante um determinado intervalo de tempo. S\u00e3o utilizadas v\u00e1rias unidades para medir a pot\u00eancia. Nos an\u00fancios sobre autom\u00f3veis a sua pot\u00eancia costuma ser indicada em cavalo (cavalo-vapor, cv).<\/p>\n<p>No gr\u00e1fico seguinte estabelece-se uma rela\u00e7\u00e3o aproximada entre pot\u00eancia expressa em quilowatt (kW) e a pot\u00eancia expressa em cavalo-vapor.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25235\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25235\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" data-orig-size=\"240,239\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag175-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" class=\"aligncenter wp-image-25235 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" alt=\"\" width=\"240\" height=\"239\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png 240w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5-80x80.png 80w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a><\/p>\n<ol>\n<li>Justifica que a rela\u00e7\u00e3o expressa no gr\u00e1fico \u00e9 de proporcionalidade direta.<\/li>\n<li>Transcreve a op\u00e7\u00e3o que corresponde \u00e0 igualdade correta.<br \/><strong>[A]<\/strong> \\(10\\;{\\rm{cv}} = 13,6\\;{\\rm{kW}}\\)<br \/><strong>[B]<\/strong> \\(10\\;{\\rm{kW}} = 13,6\\;{\\rm{cv}}\\)<br \/><strong>[C]<\/strong> \\(1\\;{\\rm{kW}} = 13,6\\;{\\rm{cv}}\\)<br \/><strong>[D]<\/strong> \\(1\\;{\\rm{cv}} = 13,6\\;{\\rm{kW}}\\)<\/li>\n<li>O Maclaren F1, com 627 cv, \u00e9 considerado por muitos especialistas como sendo o carro de estrada mais r\u00e1pido do mundo. Qual \u00e9 a pot\u00eancia do seu motor, arredondada \u00e0s unidades, expressa em quilowatt?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25232' onClick='GTTabs_show(1,25232)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25232'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<blockquote>\n<p>No gr\u00e1fico seguinte estabelece-se uma rela\u00e7\u00e3o aproximada entre pot\u00eancia expressa em quilowatt (kW) e a pot\u00eancia expressa em cavalo-vapor.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25235\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25235\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" data-orig-size=\"240,239\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag175-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" class=\"aligncenter wp-image-25235 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png\" alt=\"\" width=\"240\" height=\"239\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5.png 240w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5-80x80.png 80w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a><\/p>\n<ol>\n<li>A rela\u00e7\u00e3o entre as grandezas \u00e9 de proporcionalidade direta, porque o gr\u00e1fico est\u00e1 contido numa reta n\u00e3o vertical que passa na origem do referencial.<br \/><br \/><\/li>\n<li>A op\u00e7\u00e3o que corresponde \u00e0 igualdade correta \u00e9 <strong>[B]<\/strong> \\(10\\;{\\rm{kW}} = 13,6\\;{\\rm{cv}}\\).<br \/>Nota que \\(100\\;{\\rm{kW}} = 136\\;{\\rm{cv}}\\) (ver gr\u00e1fico).<br \/><br \/><\/li>\n<li>A pot\u00eancia do motor do Maclaren F1, arredondada \u00e0s unidades, \u00e9 671 kW:<br \/>\\[\\begin{array}{*{20}{l}}{\\frac{{136}}{{100}} = \\frac{{627}}{x}}&amp; \\Leftrightarrow &amp;{x = \\frac{{62700}}{{136}}}\\\\{}&amp;{}&amp;{x \\approx 461}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25232' onClick='GTTabs_show(0,25232)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A pot\u00eancia de um motor pode ser entendida como a energia gerada por este, durante um determinado intervalo de tempo. S\u00e3o utilizadas v\u00e1rias unidades para medir a pot\u00eancia. Nos an\u00fancios sobre&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25236,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,710,344],"series":[],"class_list":["post-25232","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-linear","tag-grafico"],"views":59,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25232","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25232"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25232\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25236"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25232"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25232"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}