{"id":270,"date":"2023-06-22T22:10:54","date_gmt":"2023-06-22T22:10:54","guid":{"rendered":"https:\/\/physigeek.com\/it\/onda-sinusoidale\/"},"modified":"2023-06-22T22:10:54","modified_gmt":"2023-06-22T22:10:54","slug":"onda-sinusoidale","status":"publish","type":"post","link":"https:\/\/physigeek.com\/it\/onda-sinusoidale\/","title":{"rendered":"Onda sinusoidale (onda sinusoidale)"},"content":{"rendered":"<p>Questo articolo spiega cosa sono le onde sinusoidali e quali sono i loro parametri. Inoltre, sarai in grado di vedere la differenza tra un&#8217;onda sinusoidale, un&#8217;onda coseno e un&#8217;onda sinusoidale smorzata.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-sinusoidal\"><\/span> Cos&#8217;\u00e8 un&#8217;onda sinusoidale?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> L&#8217; <strong>onda sinusoidale<\/strong> , detta anche <strong>sinusoide<\/strong> o semplicemente <strong>sinusoidale<\/strong> , \u00e8 un&#8217;onda la cui rappresentazione grafica \u00e8 equivalente a quella della funzione sinusoidale.<\/p>\n<p> In poche parole, un&#8217;onda sinusoidale \u00e8 un&#8217;onda periodica che oscilla da un valore massimo a un valore minimo, compresi tutti i valori intermedi. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png\" alt=\"onda sinusoidale, onda sinusoidale, onda sinusoidale\" class=\"wp-image-4765\" width=\"408\" height=\"218\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-300x160.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-768x410.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png 787w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> L&#8217;onda sinusoidale viene utilizzata per rappresentare graficamente il comportamento dei sistemi oscillanti. Ad esempio, nell&#8217;ingegneria elettrica, l&#8217;onda sinusoidale viene utilizzata per rappresentare la corrente alternata. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-una-onda-sinusoidal\"><\/span> Caratteristiche di un&#8217;onda sinusoidale<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ora che conosciamo la definizione di onda sinusoidale (o sinusoide), vediamo quali sono le caratteristiche di questo tipo di onde.<\/p>\n<ul>\n<li> Il <strong>periodo di oscillazione di un&#8217;onda sinusoidale<\/strong> \u00e8 il tempo trascorso tra due punti equivalenti sull&#8217;onda. Pertanto, se rappresentiamo graficamente un&#8217;onda sinusoidale in funzione del tempo, il suo periodo \u00e8 il tempo che trascorre finch\u00e9 lo stesso punto non si ripete.<\/li>\n<\/ul>\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-791146eec9a5947e8c521165b97e100b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=\\text{P\u00e9riode}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> La <strong>frequenza di un&#8217;onda sinusoidale<\/strong> \u00e8 il numero di oscillazioni che l&#8217;onda compie durante un periodo. Periodo e frequenza sono inversi moltiplicativi, quindi vale la seguente equazione:<\/li>\n<\/ul>\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-531bea341cf9b96ec2c355cc9e57d511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f=\\cfrac{1}{T}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"49\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> La <strong>frequenza angolare (o di pulsazione) di un&#8217;onda sinusoidale<\/strong> \u00e8 la velocit\u00e0 con cui l&#8217;onda oscilla. La frequenza angolare \u00e8 pari a due volte pi greco diviso per il periodo.<\/li>\n<\/ul>\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-df8b803de06998e6a4ef5082a65705b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\cfrac{2\\cdot \\pi}{T}=2\\cdot \\pi \\cdot f\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> L&#8217; <strong>ampiezza di un&#8217;onda sinusoidale<\/strong> \u00e8 la distanza verticale tra un picco dell&#8217;onda e l&#8217;asse orizzontale del grafico.<\/li>\n<\/ul>\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-2179324dd1409df465504be8cc28e41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\text{Amplitude}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> La <strong>fase iniziale di un&#8217;onda sinusoidale<\/strong> \u00e8 l&#8217;angolo in radianti con cui l&#8217;onda sinusoidale studiata differisce dal grafico della funzione sinusoidale. Se l&#8217;onda sinusoidale inizia sull&#8217;asse orizzontale e poi si sposta lungo il lato positivo dell&#8217;asse verticale, significa che la fase iniziale \u00e8 zero.<\/li>\n<\/ul>\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-6b6d6fbbf6f6dadba6739a7880097e4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi=\\text{Phase initiale}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"141\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> L&#8217; <strong>equazione per un&#8217;onda sinusoidale<\/strong> ci consente di rappresentare qualsiasi onda di questo tipo su un grafico in funzione del tempo, quindi la formula per un&#8217;onda sinusoidale \u00e8: <\/li>\n<\/ul>\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-9c7d69417e2a15ce94f72b45aac339f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sinusoide-y-cosinusoide\"><\/span> Sinusoide e coseno<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> L&#8217; <strong>onda coseno<\/strong> , detta anche <strong>coseno<\/strong> o <strong>coseno<\/strong> , \u00e8 quell&#8217;onda il cui grafico ha la forma di una funzione coseno.<\/p>\n<p> Tuttavia, l&#8217;onda coseno ha lo stesso grafico dell&#8217;onda sinusoidale ma \u00e8 spostata a sinistra. Pi\u00f9 precisamente, l&#8217;onda coseno \u00e8 sfasata di \u03c0\/2 radianti rispetto all&#8217;onda sinusoidale.<\/p>\n<p> Pertanto, se un&#8217;onda coseno ha la stessa ampiezza e pulsazione di un&#8217;onda sinusoidale, l&#8217;equazione coseno pu\u00f2 essere ottenuta dall&#8217;equazione seno. Per fare ci\u00f2, aggiungi semplicemente una fase iniziale di \u03c0\/2 radianti. <\/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-cdbc5163c711902651f2a3acb4a24950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot\\text{cos}(\\omega t)=A\\cdot\\text{sin}\\left(\\omega t+\\frac{\\pi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Onda-sinusoidal-amortiguada\"><\/span> Onda sinusoidale smorzata<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Infine vedremo cos&#8217;\u00e8 un&#8217;onda sinusoidale smorzata e qual \u00e8 la differenza rispetto ad un&#8217;onda sinusoidale pura.<\/p>\n<p> Un&#8217;onda <strong>sinusoidale smorzata<\/strong> \u00e8 un&#8217;onda sinusoidale la cui ampiezza tende a zero con il tempo.<\/p>\n<p> Pertanto, la <strong>differenza tra un&#8217;onda sinusoidale smorzata e un&#8217;onda sinusoidale<\/strong> \u00e8 semplicemente che l&#8217;onda sinusoidale smorzata diminuisce gradualmente in ampiezza, mentre un&#8217;onda sinusoidale mantiene la sua ampiezza costante per tutto il tempo. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png\" alt=\"onda sinusoidale smorzata\" class=\"wp-image-4776\" width=\"338\" height=\"296\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie-300x263.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png 645w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> L&#8217;equazione per un&#8217;onda sinusoidale smorzata \u00e8 molto simile all&#8217;equazione per un&#8217;onda sinusoidale, basta aggiungere un fattore esponenziale che riduce l&#8217;ampiezza all&#8217;aumentare del tempo.<\/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-3c1bc0f9419ce7ef6a01fb0065562bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot e^{-\\lambda t}\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" 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-15e7ddd9037930fb096ecf8c2f36db02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"28\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e8 l&#8217;ampiezza istantanea al momento<\/p>\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> . <\/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 un momento specifico. <\/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 iniziale dell&#8217;onda sinusoidale smorzata. <\/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-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 il decadimento costante. <\/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 pulsazione sinusoidale smorzata. <\/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-ea4b44819badec53f472a0cf6b6c8164_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e8 la fase iniziale dell&#8217;onda.<\/span><\/li>\n<\/ul>\n<p> Questi tipi di onde sono spesso utilizzati in ingegneria per rappresentare sistemi elettronici che perdono energia pi\u00f9 velocemente dell&#8217;energia fornita.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Questo articolo spiega cosa sono le onde sinusoidali e quali sono i loro parametri. Inoltre, sarai in grado di vedere la differenza tra un&#8217;onda sinusoidale, un&#8217;onda coseno e un&#8217;onda sinusoidale smorzata. Cos&#8217;\u00e8 un&#8217;onda sinusoidale? L&#8217; onda sinusoidale , detta anche sinusoide o semplicemente sinusoidale , \u00e8 un&#8217;onda la cui rappresentazione grafica \u00e8 equivalente a quella &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/it\/onda-sinusoidale\/\"> <span class=\"screen-reader-text\">Onda sinusoidale (onda sinusoidale)<\/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":[6],"tags":[],"class_list":["post-270","post","type-post","status-publish","format-standard","hentry","category-elettronico"],"yoast_head":"<!-- This site is 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