{"id":63,"date":"2023-06-26T14:09:22","date_gmt":"2023-06-26T14:09:22","guid":{"rendered":"https:\/\/physigeek.com\/it\/densita-lineare\/"},"modified":"2023-06-26T14:09:22","modified_gmt":"2023-06-26T14:09:22","slug":"densita-lineare","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/densita-lineare\/","title":{"rendered":"Densit\u00e0 lineare"},"content":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la densit\u00e0 lineare e come viene calcolata. Inoltre, sarai in grado di vedere i diversi significati di densit\u00e0 lineare a seconda del campo di studio. <\/p>\n<h2 class=\"wp-block-heading\" id=\"que-es-la-densidad-lineal\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-densidad-lineal\"><\/span> Cos&#8217;\u00e8 la densit\u00e0 lineare?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La densit\u00e0 lineare<\/strong> \u00e8 il rapporto tra massa e lunghezza di un corpo, ovvero la densit\u00e0 lineare \u00e8 la quantit\u00e0 di massa per unit\u00e0 di lunghezza.<\/p>\n<p> La densit\u00e0 lineare pu\u00f2 anche essere chiamata <strong>densit\u00e0 per unit\u00e0 di lunghezza<\/strong> . Inoltre, di solito \u00e8 rappresentato dalla lettera greca lambda (\u03bb).<\/p>\n<p> Le unit\u00e0 di densit\u00e0 lineare nel Sistema Internazionale di Unit\u00e0 (SI) sono il chilogrammo diviso per il metro (kg\/m).<\/p>\n<p> Ad esempio, nei problemi di fisica, la densit\u00e0 di una corda \u00e8 solitamente espressa come densit\u00e0 lineare, poich\u00e9 la lunghezza \u00e8 la dimensione principale di una corda e quindi le altre due dimensioni possono essere trascurate. <\/p>\n<h2 class=\"wp-block-heading\" id=\"formula-de-la-densidad-lineal\"><span class=\"ez-toc-section\" id=\"Formula-de-la-densidad-lineal\"><\/span> Formula della densit\u00e0 lineare<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>La densit\u00e0 lineare di un corpo \u00e8 uguale alla sua massa divisa per la sua lunghezza.<\/strong><\/p>\n<p> Pertanto la formula per la densit\u00e0 lineare \u00e8:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5c836b82be0a0a2b3c2f170ba1adefff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda=\\cfrac{m}{L}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"52\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Oro<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la densit\u00e0 lineare,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> la massa dell&#8217;oggetto e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> la lunghezza dell&#8217;oggetto.<\/p>\n<p> Ad esempio, se la massa di un cilindro molto allungato \u00e8 7 kg e la sua lunghezza \u00e8 4 m, il calcolo della sua densit\u00e0 lineare \u00e8: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-36bfac112d82294abd96591ac64af385_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda=\\cfrac{m}{L}=\\cfrac{7}{4}=1,75 \\ \\cfrac{kg}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"171\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <a href=\"https:\/\/physigeek.com\/it\/densita-volumetrica\/\">densit\u00e0 volumetrica<\/a> <\/div>\n<h2 class=\"wp-block-heading\" id=\"densidad-lineal-de-carga\"><span class=\"ez-toc-section\" id=\"Densidad-lineal-de-carga\"><\/span> Densit\u00e0 di carica lineare<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Va tenuto presente che il significato della densit\u00e0 lineare varia a seconda del campo di studio. Nell&#8217;elettromagnetismo, il termine densit\u00e0 lineare si riferisce alla densit\u00e0 lineare della carica elettrica, che \u00e8 definita come segue:<\/p>\n<p> <strong>La densit\u00e0 di carica lineare<\/strong> \u00e8 la quantit\u00e0 di carica elettrica in un oggetto per unit\u00e0 di lunghezza.<\/p>\n<p> Per calcolare la densit\u00e0 di carica lineare, il valore della sua carica elettrica deve essere diviso per la sua lunghezza totale. La formula per la densit\u00e0 di carica elettrica lineare \u00e8 quindi:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-dcaabf81a90fda9beaa32d6ccaf9674c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda=\\cfrac{Q}{L}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"51\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Oro<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la densit\u00e0 lineare,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-dd440a7af28975f52f03607a49307d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e8 la carica elettrica dell&#8217;oggetto e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la lunghezza dell&#8217;oggetto. <\/p>\n<h2 class=\"wp-block-heading\" id=\"densidad-lineal-en-ondas-estacionarias\"><span class=\"ez-toc-section\" id=\"Densidad-lineal-en-ondas-estacionarias\"><\/span> Densit\u00e0 lineare nelle onde stazionarie<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nello studio delle stringhe e delle onde stazionarie, infine, viene utilizzata anche la nozione di densit\u00e0 lineare.<\/p>\n<p> In questo caso, la definizione di densit\u00e0 lineare \u00e8 la stessa che abbiamo visto all&#8217;inizio, \u00e8 la quantit\u00e0 di massa per unit\u00e0 di lunghezza. Tuttavia, la formula per calcolare la densit\u00e0 lineare dipende da altre variabili:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-efbea6b58c65247ebea5c1cad1960d32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu =n^2\\cdot \\cfrac{T}{4\\cdot L^2\\cdot f^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"140\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Oro<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e8 la densit\u00e0 lineare della corda,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 l&#8217;armonico,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la tensione,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-48d71fca322532f0abc2c4ad2cf98154_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la lunghezza della stringa e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f5844370b6482674a233a3063f762555_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e8 la frequenza.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Questo articolo spiega cos&#8217;\u00e8 la densit\u00e0 lineare e come viene calcolata. Inoltre, sarai in grado di vedere i diversi significati di densit\u00e0 lineare a seconda del campo di studio. Cos&#8217;\u00e8 la densit\u00e0 lineare? La densit\u00e0 lineare \u00e8 il rapporto tra massa e lunghezza di un corpo, ovvero la densit\u00e0 lineare \u00e8 la quantit\u00e0 di massa &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/densita-lineare\/\"> <span class=\"screen-reader-text\">Densit\u00e0 lineare<\/span> Leggi altro &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-63","post","type-post","status-publish","format-standard","hentry","category-concetti"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Cos&#039;\u00e8 la densit\u00e0 lineare? 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