{"id":6756,"date":"2011-04-11T19:04:18","date_gmt":"2011-04-11T18:04:18","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6756"},"modified":"2022-01-22T00:31:30","modified_gmt":"2022-01-22T00:31:30","slug":"a-intensidade-do-som","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6756","title":{"rendered":"A intensidade do som"},"content":{"rendered":"<p><ul id='GTTabs_ul_6756' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6756' class='GTTabs_curr'><a  id=\"6756_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6756' ><a  id=\"6756_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_6756'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A intensidade do som pode ser medida em <em>Watt por metro quadrado<\/em>, medida da press\u00e3o que o som exerce sobre o nosso ouvido. A intensidade do som emitido por uma aparelhagem sonora \u00e9 fun\u00e7\u00e3o da dist\u00e2ncia a que o ouvinte se encontra das colunas de som. Na tabela seguinte est\u00e3o registados os resultados de algumas medi\u00e7\u00f5es efetuadas a diferentes dist\u00e2ncias das colunas de uma certa aparelhagem de som:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6757\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6757\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom.jpg\" data-orig-size=\"616,64\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Resultados\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom.jpg\" class=\"aligncenter size-full wp-image-6757\" title=\"Resultados\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom.jpg\" alt=\"\" width=\"616\" height=\"64\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom.jpg 616w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom-300x31.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom-150x15.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/intsom-400x41.jpg 400w\" sizes=\"auto, (max-width: 616px) 100vw, 616px\" \/><\/p>\n<\/p>\n<ol>\n<li><span class=\"alignright\"><object data=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/soundintensity.swf\" type=\"application\/x-shockwave-flash\" width=\"400\" height=\"300\"><\/object><\/span>Descreva o modelo global que relaciona a dist\u00e2ncia D com a intensidade I, a partir dos dados conhecidos.<\/li>\n<li>Desenhe a nuvem de pontos correspondente aos pares (D,I) da tabela e explique que como a sua forma se ajusta ao modelo descrito.<\/li>\n<li>Qual dos seguintes movimentos provocar\u00e1 a maior diminui\u00e7\u00e3o da intensidade do som? (i)\u00a0 Mover-se de 1 para 2 metros de dist\u00e2ncia em rela\u00e7\u00e3o \u00e0s colunas; (ii) Mover-se de 4 para 5 metros de dist\u00e2ncia em rela\u00e7\u00e3o \u00e0s colunas.<\/li>\n<li>Experimente v\u00e1rias leis no editor de fun\u00e7\u00f5es da sua calculadora gr\u00e1fica e procure a que melhor se ajusta \u00e0 rela\u00e7\u00e3o entre I e D, considerando a intensidade como fun\u00e7\u00e3o da dist\u00e2ncia.<\/li>\n<\/ol>\n<ul style=\"list-style-type: square;\">\n<li data-tadv-p=\"keep\"><a href=\"http:\/\/www.eurekaelearning.com\/page.php\/resources\/view_all?id=sound_intensity_distance_decibel_loudness_amplification_amplify_noise_protect\" target=\"_blank\" rel=\"noopener noreferrer\">Sound intensity &#8211; Lesson contents<\/a><\/li>\n<\/ul>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6756' onClick='GTTabs_show(1,6756)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6756'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>A intensidade do som diminui com o aumento da dist\u00e2ncia em rela\u00e7\u00e3o \u00e0s colunas.<br \/>\n\u00ad<\/li>\n<li>A nuvem de pontos confirma o modelo adiantado na al\u00ednea anterior, contudo sobressai que essa varia\u00e7\u00e3o n\u00e3o \u00e9 linear.\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6758\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6758\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS.png\" data-orig-size=\"480,360\" 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;}\" data-image-title=\"Tabela\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS.png\" class=\"wp-image-6758 size-medium alignnone\" title=\"Tabela\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS-300x225.png\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS-150x112.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS-400x300.png 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra001IS.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\u00a0 \u00a0<img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6759\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6759\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS.png\" data-orig-size=\"480,360\" 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;}\" data-image-title=\"Nuvem de pontos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS.png\" class=\"wp-image-6759 size-medium alignnone\" title=\"Nuvem de pontos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS-300x225.png\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS-150x112.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS-400x300.png 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra002IS.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\n\u00ad<\/p>\n<\/li>\n<li>Provoca maior diminui\u00e7\u00e3o da intensidade do som mover-se de 1 para 2 metros de dist\u00e2ncia em rela\u00e7\u00e3o \u00e0s colunas, $15\\,W\/{{m}^{2}}$ contra $0,45\\,W\/{{m}^{2}}$.<br \/>\n\u00ad<\/li>\n<li>Dos modelos de regress\u00e3o dispon\u00edveis, o que melhor se ajusta \u00e0 nuvem de pontos \u00e9 o da pot\u00eancia.\n<p>\u00a0<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6760\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6760\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS.png\" data-orig-size=\"480,360\" 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;}\" data-image-title=\"Regress\u00e3o pot\u00eancia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS.png\" class=\"alignnone size-medium wp-image-6760\" title=\"Regress\u00e3o pot\u00eancia\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS-300x225.png\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS-150x112.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS-400x300.png 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra003IS.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\u00a0 \u00a0<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6761\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6761\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS.png\" data-orig-size=\"480,360\" 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;}\" data-image-title=\"Modelo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS.png\" class=\"alignnone size-medium wp-image-6761\" title=\"Modelo\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS-300x225.png\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS-150x112.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS-400x300.png 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11-04-2011-Ecra004IS.png 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\n<\/a><br \/>\nPortanto, a rela\u00e7\u00e3o entre as vari\u00e1veis pode ser modelada por $I=\\frac{20}{{{D}^{2}}}$.<\/p>\n<\/li>\n<\/ol>\n<ul>\n<li>\u00a0<a href=\"http:\/\/www.eurekaelearning.com\/page.php\/resources\/view_all?id=sound_intensity_distance_decibel_loudness_amplification_amplify_noise_protect_t_page_6\" target=\"_blank\" rel=\"noopener noreferrer\">Simulation &#8211; Sound Intensity<\/a><\/li>\n<\/ul>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6756' onClick='GTTabs_show(0,6756)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A intensidade do som pode ser medida em Watt por metro quadrado, medida da press\u00e3o que o som exerce sobre o nosso ouvido. A intensidade do som emitido por uma aparelhagem&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20859,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,125],"tags":[131],"series":[],"class_list":["post-6756","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcoes-racionais","tag-funcoes-racionais-2"],"views":3568,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/04\/11V2Pag209-98_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6756","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=6756"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6756\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20859"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6756"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6756"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6756"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6756"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}