{"id":473,"date":"2023-06-16T05:57:52","date_gmt":"2023-06-16T05:57:52","guid":{"rendered":"https:\/\/physigeek.com\/it\/onda-tridimensionale\/"},"modified":"2023-06-16T05:57:52","modified_gmt":"2023-06-16T05:57:52","slug":"onda-tridimensionale","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/onda-tridimensionale\/","title":{"rendered":"Onda tridimensionale"},"content":{"rendered":"<p>Questo articolo spiega cosa sono le onde tridimensionali in fisica. Troverai quindi la definizione di onda tridimensionale, quali sono le sue caratteristiche e l&#8217;equazione di un&#8217;onda tridimensionale. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-tridimensional\"><\/span> Cos&#8217;\u00e8 un&#8217;onda tridimensionale?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Un&#8217;onda tridimensionale<\/strong> , detta anche <strong>onda sferica<\/strong> , \u00e8 un&#8217;onda che si propaga in tre dimensioni. In altre parole, le onde tridimensionali si propagano in tutte le direzioni nello spazio.<\/p>\n<p> Ad esempio, un&#8217;onda sonora \u00e8 un&#8217;onda tridimensionale perch\u00e9 si propaga in tutte e tre le dimensioni dello spazio. Anche le onde luminose sono esempi di onde tridimensionali.<\/p>\n<p> Pertanto i fronti d\u2019onda delle onde tridimensionali sono sfere concentriche che si propagano nello spazio, per questo vengono chiamate anche onde sferiche. Il centro di queste sfere concentriche \u00e8 il fuoco o l&#8217;origine dell&#8217;onda tridimensionale. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-las-ondas-tridimensionales\"><\/span> Caratteristiche delle onde tridimensionali<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Le onde tridimensionali hanno le seguenti caratteristiche:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ampiezza (A)<\/strong> : \u00e8 la distanza tra il punto pi\u00f9 alto delle oscillazioni dell&#8217;onda e il suo valore medio.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Periodo (T)<\/strong> : \u00e8 il tempo necessario all&#8217;onda per compiere un&#8217;oscillazione completa.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequenza (f)<\/strong> : \u00e8 il numero di oscillazioni o vibrazioni che l&#8217;onda produce nell&#8217;unit\u00e0 di tempo.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequenza angolare o pulsazione (\u03c9)<\/strong> : \u00e8 la velocit\u00e0 con cui oscilla l&#8217;onda.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Velocit\u00e0 di propagazione (v)<\/strong> : \u00e8 la velocit\u00e0 con cui si propaga l&#8217;onda.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-de-una-onda-tridimensional\"><\/span> Equazione di un&#8217;onda tridimensionale<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Data la simmetria sferica delle onde tridimensionali, se assumiamo che l&#8217;onda tridimensionale si propaghi attraverso un mezzo isotropo, come l&#8217;aria o l&#8217;acqua, l&#8217;equazione che ne descrive il movimento pu\u00f2 essere scritta in coordinate sferiche come segue:<\/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-26b4b369cc2fa9266d113d8857650944_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{r^2} \\frac{\\partial}{\\partial r}\\left( r^2\\frac{\\partial \\Psi}{\\partial r} \\right)-\\ frac{1}{c^2}\\frac{\\partial^2 \\Psi}{\\partial t^2} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"270\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Quindi, risolvendo la precedente equazione differenziale mediante integrazione, arriviamo alla formula per l&#8217; <strong>equazione di un&#8217;onda tridimensionale<\/strong> :<\/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-a0a3b7234b7cd9d7a416a1002d15f926_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Psi(r,t) = A\\cdot\\text{sin}( \\omega\\cdot t - k\\cdot r+ \\phi_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Oro: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-96d558896734bc27372c9e3216e687db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Psi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 l&#8217;allungamento dell&#8217;onda tridimensionale. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la distanza tra l&#8217;origine dell&#8217;onda e il punto di studio. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 l&#8217;ampiezza dell&#8217;onda tridimensionale. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 il numero d&#8217;onda. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 la frequenza angolare o pulsazione dell&#8217;onda. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e8 il momento del tempo. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c8618f3820889d0002a7eefeeb2aaf41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi_0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e8 la fase iniziale dell&#8217;onda. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-ondas\"><\/span> Altri tipi di onde<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A seconda delle dimensioni in cui si propagano, le onde si classificano in longitudinali, bidimensionali o tridimensionali. Quindi, oltre alle onde tridimensionali, esistono anche i seguenti due tipi di onde:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Onda unidimensionale<\/strong> : tipo di onda che si propaga in un&#8217;unica dimensione, cio\u00e8 in un&#8217;unica direzione.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Onda bidimensionale<\/strong> : tipo di onda che si propaga in due dimensioni, cio\u00e8 lungo una superficie.<\/span> <\/li>\n<\/ul>\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\/onda-unidimensionale\/\">Onda unidimensionale<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <a href=\"https:\/\/physigeek.com\/it\/onda-bidimensionale\/\">Onda bidimensionale<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Questo articolo spiega cosa sono le onde tridimensionali in fisica. Troverai quindi la definizione di onda tridimensionale, quali sono le sue caratteristiche e l&#8217;equazione di un&#8217;onda tridimensionale. Cos&#8217;\u00e8 un&#8217;onda tridimensionale? Un&#8217;onda tridimensionale , detta anche onda sferica , \u00e8 un&#8217;onda che si propaga in tre dimensioni. In altre parole, le onde tridimensionali si propagano in &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/onda-tridimensionale\/\"> <span class=\"screen-reader-text\">Onda tridimensionale<\/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":[3],"tags":[],"class_list":["post-473","post","type-post","status-publish","format-standard","hentry","category-cinematografico"],"yoast_head":"<!-- This site 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