{"id":90,"date":"2020-12-29T17:09:02","date_gmt":"2020-12-29T20:09:02","guid":{"rendered":"https:\/\/www.ufrgs.br\/gepect\/?page_id=90"},"modified":"2021-02-04T15:41:47","modified_gmt":"2021-02-04T18:41:47","slug":"copo-de-pitagoras","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/","title":{"rendered":"Copo de Pit\u00e1goras"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">O copo de Pit\u00e1goras ou C\u00e1lice da justi\u00e7a, se trata de um experimento de grande facilidade em sua constru\u00e7\u00e3o, com um vislumbre te\u00f3rico pouco aprofundado. <\/span><span style=\"vertical-align: inherit;\">Muitas vezes ele n\u00e3o \u00e9 trabalhado no ensino m\u00e9dio ou trabalhado como uma mera apresenta\u00e7\u00e3o de um evento cotidiano. <\/span><span style=\"vertical-align: inherit;\">Esse experimento tem potencial para ser utilizado como um aux\u00edlio \u00e0 aplica\u00e7\u00e3o da hist\u00f3ria da ci\u00eancia no ensino de f\u00edsica.<\/span><\/span><\/span><\/p>\n\n\n<figure id=\"attachment_393\" aria-describedby=\"caption-attachment-393\" style=\"width: 176px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" class=\"wp-image-393\" src=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/AMLEF008-2.jpg\" alt=\"\" width=\"176\" height=\"330\" srcset=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/AMLEF008-2.jpg 546w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/AMLEF008-2-160x300.jpg 160w\" sizes=\"(max-width: 176px) 100vw, 176px\" \/><figcaption id=\"caption-attachment-393\" class=\"wp-caption-text\"><span style=\"color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Figura 1: <\/span><\/span><a style=\"color: #000000;\" href=\"https:\/\/www.ufrgs.br\/amlef\/2019\/09\/01\/copo-de-pitagoras\/\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Copo de Pit\u00e1goras em exposi\u00e7\u00e3o no Acervo Museol\u00f3gico do Laborat\u00f3rios de Ensino em F\u00edsica do Instituto de F\u00edsica da UFRGS.<\/span><\/span><\/a><\/span><\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\">A origem acerca do copo de Pit\u00e1goras est\u00e1 no livro \u201cDi\u00e1logos dos mortos\u201d de Luciano de Sam\u00f3sata, em um di\u00e1logo entre Pit\u00e1goras e Eupalinos. Pit\u00e1goras oferece a Eupalinos uma solu\u00e7\u00e3o para um problema que ele vinha enfrentando na constru\u00e7\u00e3o de um aqueduto, pois os seus construtores acabavam por se embebedar de vinho, retardando assim a constru\u00e7\u00e3o desse. A solu\u00e7\u00e3o dada por Pit\u00e1goras foi uma de suas inven\u00e7\u00f5es, um copo que pode controlar a quantidade de vinho consumida por uma pessoa, se o l\u00edquido ultrapassar um determinado limite no copo, ocorrer\u00e1 a perda quase que total do conte\u00fado. Por mais que essa hist\u00f3ria demonstre possuir uma fundamenta\u00e7\u00e3o hist\u00f3rica, \u00e9 necess\u00e1rio saber que o \u201cDi\u00e1logo dos mortos\u201d \u00e9 uma s\u00e1tira e mesmo em uma busca mais aprofundada n\u00e3o encontramos outras fontes. Uma vez que os relatos s\u00e3o escassos, essa hist\u00f3ria deve ser apresentada como uma lenda, considerando sua pouca comprova\u00e7\u00e3o.<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Bora construir<\/span><\/span><\/strong><\/span><\/p>\n<span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> Para a constru\u00e7\u00e3o simples de um copo de Pit\u00e1goras, usaremos:<\/span><\/span><\/span>\n<ul>\n \t<li style=\"font-weight: 400;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Um pouco de \u00e1gua;<\/span><\/span><\/span><\/li>\n \t<li style=\"font-weight: 400;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Um copo pl\u00e1stico;<\/span><\/span><\/span><\/li>\n \t<li style=\"font-weight: 400;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Um canudo pl\u00e1stico dobr\u00e1vel;<\/span><\/span><\/span><\/li>\n \t<li style=\"font-weight: 400;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Cola quente para a veda\u00e7\u00e3o.<\/span><\/span><\/span><\/li>\n<\/ul>\n<span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Para constru\u00e7\u00e3o do copo pode-se realizar os seguintes passos<\/span><\/span><\/span>\n\n<figure id=\"attachment_390\" aria-describedby=\"caption-attachment-390\" style=\"width: 306px\" class=\"wp-caption alignright\"><img loading=\"lazy\" class=\"wp-image-390\" src=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02-1024x1024.jpeg\" alt=\"\" width=\"306\" height=\"306\" srcset=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02-1024x1024.jpeg 1024w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02-300x300.jpeg 300w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02-150x150.jpeg 150w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02-768x768.jpeg 768w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/WhatsApp-Image-2021-01-23-at-17.37.02.jpeg 1280w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><figcaption id=\"caption-attachment-390\" class=\"wp-caption-text\"><span style=\"color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Figura 2: Montagem do experimento.<\/span><\/span><\/span><\/figcaption><\/figure>\n<ul>\n \t<li style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Primeiro Passo: deve-se perfurar o copo ao centro, de modo que o canudo possa passar atrav\u00e9s dele;<\/span><\/span><\/span><\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n \t<li style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Segundo Passo: Coloque a extremidade mais comprida do canudo atravessando o orif\u00edcio feito no copo, por dentro desse;<\/span><\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><\/p>\n\n<ul>\n \t<li style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Aconselho a passar um pouco de cola quente ao redor do canudo na parte externa do copo, para prevenir qualquer vazamento indesejado.<\/span><\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400; color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Com o copo pronto, podemos ench\u00ea-lo at\u00e9 pouco antes da dobra do canudo e o \u00e1gua continuar\u00e1 no copo. <\/span><span style=\"vertical-align: inherit;\">Por\u00e9m, quando ultrapassamos esse limite, toda a \u00e1gua at\u00e9 a extremidade menor do canudo escorre para fora do copo. <\/span><span style=\"vertical-align: inherit;\">A explica\u00e7\u00e3o desse evento est\u00e1 associado a duas parte: Quando enchemos o copo pelo princ\u00edpio dos vasos comunicantes, a medida que esse \u00e9 preenchido pela \u00e1gua, vemos essa subindo pela extremidade menor do canudo ao mesmo tempo; <\/span><span style=\"vertical-align: inherit;\">Quando a \u00e1gua ultrapassa a dobra do canudo, vemos escorrer pela extremidade mais comprida, de modo que s\u00f3 para quando atinge a extremidade menor. <\/span><span style=\"vertical-align: inherit;\">A explica\u00e7\u00e3o est\u00e1 associada ao sif\u00e3o, uma vez que ultrapassamos esse limite imposto pelo canudo, geramos uma diferen\u00e7a de press\u00e3o que impulsiona a \u00e1gua atrav\u00e9s do canudo.<\/span><\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Ci\u00eancia no cotidiano: Vaso sanit\u00e1rio e tubula\u00e7\u00e3o de pias<\/span><\/span><\/strong><\/span><\/p>\n\n\n<figure id=\"attachment_97\" aria-describedby=\"caption-attachment-97\" style=\"width: 289px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" class=\"wp-image-97\" src=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2020\/07\/Quest\u00e3o-78-do-enem-2011-.png\" alt=\"\" width=\"289\" height=\"225\" srcset=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2020\/07\/Quest\u00e3o-78-do-enem-2011-.png 603w, https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2020\/07\/Quest\u00e3o-78-do-enem-2011--300x233.png 300w\" sizes=\"(max-width: 289px) 100vw, 289px\" \/><figcaption id=\"caption-attachment-97\" class=\"wp-caption-text\"><span style=\"color: #000000;\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Figura 3: imagem da quest\u00e3o 78 do Enem de 2011.<\/span><\/span><\/span><\/figcaption><\/figure>\n<p style=\"text-align: justify;\"><\/p>\n<span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">O vaso sanit\u00e1rio \u00e9 observado na figura 3, seu sif\u00e3o est\u00e1 na parte inferior atr\u00e1s do vaso, onde podemos ver que sua curva est\u00e1 acima do n\u00edvel da \u00e1gua. <\/span><span style=\"vertical-align: inherit;\">Quando puxamos a descarga a \u00e1gua \u00e9 liberada do tanque, fazendo com que esse n\u00edvel seja ultrapassado. <\/span><span style=\"vertical-align: inherit;\">O mesmo acontecimento fen\u00f4meno no Copo de Pit\u00e1goras, por\u00e9m nesse caso, ap\u00f3s a \u00e1gua ser tragada, o tanque libera um pouco mais de \u00e1gua, mas n\u00e3o permite ultrapassar o limite do sif\u00e3o, de modo que essa exce\u00e7\u00e3o est\u00e1 no vaso, impedindo que odores ruins do esgoto passem por esse mecanismo.<\/span><\/span>\n<p class=\"has-black-color has-text-color has-background\" style=\"background-color: #e9f5fa; font-size: 14px;\"><strong><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">Sugest\u00f5es:<\/span><\/span><\/strong>\n<span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\"> Outra possibilidade de constru\u00e7\u00e3o para o copo de Pit\u00e1goras <\/span><\/span><a href=\"https:\/\/www.youtube.com\/watch?v=FLQQK2C-coc\"><span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">https:\/\/www.youtube.com\/watch?v=FLQQK2C-coc<\/span><\/span><\/a><\/p>\n\n<div class=\"wp-block-group\">\n<div class=\"wp-block-group__inner-container\">\n<p class=\"has-black-color has-text-color has-background\" style=\"background-color: #e9f5fa; font-size: 14px;\"><strong>Refer\u00eancias:<\/strong>\n<a href=\"https:\/\/www.epmagazine.org\/storage\/431.aspx\">https:\/\/www.epmagazine.org\/storage\/431.aspx<\/a> <a href=\"https:\/\/www.ufrgs.br\/amlf\/2019\/09\/01\/copo-de-pitagoras\/\">https:\/\/www.ufrgs.br\/amlf\/2019\/09\/01\/copo-de-pitagoras\/ <\/a> <a href=\"https:\/\/mymodernmet.com\/pythagoras-cup\/\">https:\/\/mymodernmet.com\/pythagoras-cup\/<\/a><\/p>\n<!-- \/wp:paragraph -->\n\n<\/div>\n<\/div>\n<!-- \/wp:group -->\n\n<!-- wp:paragraph -->\n\n<!-- \/wp:paragraph -->\n\n<!-- wp:paragraph -->\n\n<!-- \/wp:paragraph -->","protected":false},"excerpt":{"rendered":"<p>O copo de Pit\u00e1goras ou C\u00e1lice da justi\u00e7a, se trata de um experimento de grande facilidade em sua constru\u00e7\u00e3o, com um vislumbre te\u00f3rico pouco aprofundado. Muitas vezes ele n\u00e3o \u00e9 trabalhado no ensino m\u00e9dio ou trabalhado como uma mera apresenta\u00e7\u00e3o de um evento cotidiano. Esse experimento tem potencial para ser utilizado como um aux\u00edlio \u00e0 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":62,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.9.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Copo de Pit\u00e1goras - GEPECT<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Copo de Pit\u00e1goras - GEPECT\" \/>\n<meta property=\"og:description\" content=\"O copo de Pit\u00e1goras ou C\u00e1lice da justi\u00e7a, se trata de um experimento de grande facilidade em sua constru\u00e7\u00e3o, com um vislumbre te\u00f3rico pouco aprofundado. Muitas vezes ele n\u00e3o \u00e9 trabalhado no ensino m\u00e9dio ou trabalhado como uma mera apresenta\u00e7\u00e3o de um evento cotidiano. Esse experimento tem potencial para ser utilizado como um aux\u00edlio \u00e0 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\" \/>\n<meta property=\"og:site_name\" content=\"GEPECT\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-04T18:41:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/AMLEF008-2.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data1\" content=\"3 minutes\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/#website\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/\",\"name\":\"GEPECT\",\"description\":\"Grupo de Estudos e Pesquisas em Educa\\u00e7\\u00e3o Cient\\u00edfica e Tecnol\\u00f3gica\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/www.ufrgs.br\/gepect\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/wp-content\/uploads\/2021\/01\/AMLEF008-2.jpg\",\"width\":546,\"height\":1024},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/#webpage\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\",\"name\":\"Copo de Pit\\u00e1goras - GEPECT\",\"isPartOf\":{\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/#primaryimage\"},\"datePublished\":\"2020-12-29T20:09:02+00:00\",\"dateModified\":\"2021-02-04T18:41:47+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"item\":{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/\",\"name\":\"In\\u00edcio\"}},{\"@type\":\"ListItem\",\"position\":2,\"item\":{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/\",\"name\":\"LADEEC\"}},{\"@type\":\"ListItem\",\"position\":3,\"item\":{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\",\"url\":\"https:\/\/www.ufrgs.br\/gepect\/ladeec\/copo-de-pitagoras\/\",\"name\":\"Copo de Pit\\u00e1goras\"}}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/pages\/90"}],"collection":[{"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/comments?post=90"}],"version-history":[{"count":30,"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/pages\/90\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/pages\/90\/revisions\/456"}],"up":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/pages\/62"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/gepect\/wp-json\/wp\/v2\/media?parent=90"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}