{"id":458,"date":"2023-06-17T04:37:37","date_gmt":"2023-06-17T04:37:37","guid":{"rendered":"https:\/\/physigeek.com\/de\/eindimensionale-welle\/"},"modified":"2023-06-17T04:37:37","modified_gmt":"2023-06-17T04:37:37","slug":"eindimensionale-welle","status":"publish","type":"post","link":"https:\/\/physigeek.com\/de\/eindimensionale-welle\/","title":{"rendered":"Eindimensionale welle"},"content":{"rendered":"<p>Dieser Artikel erkl\u00e4rt, was eine eindimensionale Welle in der Physik ist. Sie finden daher die Definition einer eindimensionalen Welle, die Eigenschaften dieser Wellenart und zus\u00e4tzlich die Gleichung, die die Bewegung einer eindimensionalen Welle beschreibt. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-unidimensional\"><\/span> Was ist eine eindimensionale Welle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Eine <strong>eindimensionale Welle<\/strong> ist eine Welle, die sich nur in einer Dimension ausbreitet, d. h. eindimensionale Wellen breiten sich nur in eine Richtung aus.<\/p>\n<p> Beispielsweise ist die Welle, die durch Sch\u00fctteln eines Endes einer Saite erzeugt wird, w\u00e4hrend das andere Ende station\u00e4r ist, eine eindimensionale Welle. Ebenso ist die durch die Schwingung einer Feder erzeugte Welle eine eindimensionale Welle. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-una-onda-unidimensional\"><\/span> Eigenschaften einer eindimensionalen Welle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Eindimensionale Wellen haben die folgenden Eigenschaften oder Elemente:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Zyklus oder Schwingung<\/strong> : Es ist der Weg der Welle von einem Punkt zum n\u00e4chsten \u00e4quivalenten Punkt.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Wellenl\u00e4nge (\u03bb)<\/strong> : ist der Abstand zwischen zwei aufeinanderfolgenden \u00e4quivalenten Punkten auf der Welle.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Amplitude (A)<\/strong> : ist der vertikale Abstand zwischen der maximalen Streckung und ihrer Gleichgewichtsposition.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Periode (T)<\/strong> : ist die Zeit, die ben\u00f6tigt wird, um eine vollst\u00e4ndige Schwingung abzuschlie\u00dfen.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequenz (f)<\/strong> : ist die Anzahl der Schwingungen oder Vibrationen, die die Welle pro Zeiteinheit erzeugt.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Winkelfrequenz (oder Pulsation) (\u03c9)<\/strong> : Dies ist die Geschwindigkeit, mit der die Welle schwingt.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ausbreitungsgeschwindigkeit (v)<\/strong> : Dies ist die Geschwindigkeit, mit der sich die Welle ausbreitet.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Kamm<\/strong> : jeder der h\u00f6chsten Punkte der Welle.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tal<\/strong> : jeder der tiefsten Punkte der Welle.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-mouvement-harmonique-simple.png\" alt=\"eindimensionale Welle\" class=\"wp-image-8610\" width=\"630\" height=\"268\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-mouvement-harmonique-simple-300x128.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-mouvement-harmonique-simple-1024x436.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-mouvement-harmonique-simple-768x327.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/graphique-de-mouvement-harmonique-simple.png 1306w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-de-una-onda-unidimensional\"><\/span> Gleichung einer eindimensionalen Welle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Die Gleichung f\u00fcr eine eindimensionale Welle erm\u00f6glicht es uns, die Ausdehnung der Welle an einem bestimmten Ort und zu einem bestimmten Zeitpunkt zu berechnen. Somit <strong>lautet die Gleichung f\u00fcr eine eindimensionale Welle y(x,t) = A\u00b7sin(k\u00b7x \u2013 \u03c9\u00b7t + \u03c6 <sub>0<\/sub> ).<\/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-3333b8af1a945320740c6c5e40a70cc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(x,t)=A\\cdot \\text{sin}(k\\cdot xw\\cdot t+\\phi_0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Gold: <\/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-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> ist die Verl\u00e4ngerung der eindimensionalen Welle. <\/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> ist die Amplitude der eindimensionalen Welle. <\/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-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> ist der Abstand vom untersuchten Punkt zum Fokus der Welle. <\/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> ist die Wellenzahl. <\/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> ist die Kreisfrequenz oder Pulsation. <\/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> ist der Moment der Zeit. <\/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> ist die Anfangsphase der Welle.<\/span><\/li>\n<\/ul>\n<p> Beachten Sie, dass die Wellenzahl und die Winkelfrequenz einer eindimensionalen Welle mithilfe der folgenden Formeln berechnet werden:<\/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-bd9a9c86ac7bfe615da6e49025b8b40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}k=\\cfrac{2\\pi}{\\lambda}\\\\[4ex]\\omega=\\cfrac{2\\pi}{T}=2\\pi f\\end{ tableau}\" title=\"Rendered by QuickLaTeX.com\" height=\"104\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Gold: <\/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-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> ist die Wellenzahl. <\/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> ist die Wellenl\u00e4nge. <\/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> ist die Kreisfrequenz oder Pulsation. <\/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-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> ist der Punkt. <\/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-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> ist die Frequenz. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-ondas\"><\/span> Andere Arten von Wellen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In der Physik werden Wellen in eindimensionale, zweidimensionale und dreidimensionale Wellen eingeteilt. In diesem Artikel haben wir gesehen, was eindimensionale Wellen sind, also m\u00fcssen wir sehen, was der Unterschied zwischen den beiden anderen Wellentypen ist:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Zweidimensionale Welle<\/strong> : Wellentyp, der sich in zwei Dimensionen, also \u00fcber eine Oberfl\u00e4che, ausbreitet.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Dreidimensionale Welle<\/strong> : Eine Art Welle, die sich dreidimensional ausbreitet, also in alle Richtungen ausdehnt.<\/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>Siehe:<\/strong> <a href=\"https:\/\/physigeek.com\/de\/zweidimensionale-welle\/\">Zweidimensionale Welle<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Siehe:<\/strong> <a href=\"https:\/\/physigeek.com\/de\/dreidimensionale-welle\/\">Dreidimensionale Welle<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Dieser Artikel erkl\u00e4rt, was eine eindimensionale Welle in der Physik ist. Sie finden daher die Definition einer eindimensionalen Welle, die Eigenschaften dieser Wellenart und zus\u00e4tzlich die Gleichung, die die Bewegung einer eindimensionalen Welle beschreibt. Was ist eine eindimensionale Welle? Eine eindimensionale Welle ist eine Welle, die sich nur in einer Dimension ausbreitet, d. h. eindimensionale &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/de\/eindimensionale-welle\/\"> <span class=\"screen-reader-text\">Eindimensionale welle<\/span> Mehr lesen &quot;<\/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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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