{"id":473,"date":"2023-06-16T05:57:52","date_gmt":"2023-06-16T05:57:52","guid":{"rendered":"https:\/\/physigeek.com\/nl\/driedimensionale-golf\/"},"modified":"2023-06-16T05:57:52","modified_gmt":"2023-06-16T05:57:52","slug":"driedimensionale-golf","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/driedimensionale-golf\/","title":{"rendered":"Driedimensionale golf"},"content":{"rendered":"<p>In dit artikel wordt uitgelegd wat driedimensionale golven in de natuurkunde zijn. Je zult dus de definitie van een driedimensionale golf vinden, wat de kenmerken ervan zijn en de vergelijking van een driedimensionale golf. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-tridimensional\"><\/span> Wat is een driedimensionale golf?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Een <strong>driedimensionale golf<\/strong> , ook wel <strong>bolvormige golf<\/strong> genoemd, is een golf die zich in drie dimensies voortplant. Met andere woorden: driedimensionale golven planten zich in alle richtingen in de ruimte voort.<\/p>\n<p> Een geluidsgolf is bijvoorbeeld een driedimensionale golf omdat deze zich voortplant in alle drie de dimensies van de ruimte. Lichtgolven zijn ook voorbeelden van driedimensionale golven.<\/p>\n<p> Daarom zijn de golffronten van driedimensionale golven concentrische bollen die zich door de ruimte voortplanten. Daarom worden ze ook wel sferische golven genoemd. Het centrum van deze concentrische bollen is het brandpunt of de oorsprong van de driedimensionale golf. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-las-ondas-tridimensionales\"><\/span> Kenmerken van driedimensionale golven<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Driedimensionale golven hebben de volgende kenmerken:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Amplitude (A)<\/strong> : is de afstand tussen het hoogste punt van golfoscillaties en de gemiddelde waarde ervan.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Periode (T)<\/strong> : is de tijd die de golf nodig heeft om een volledige oscillatie te maken.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Frequentie (f)<\/strong> : is het aantal oscillaties of trillingen dat de golf per tijdseenheid produceert.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hoekfrequentie of pulsatie (\u03c9)<\/strong> : dit is de snelheid waarmee de golf oscilleert.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Voortplantingssnelheid (v)<\/strong> : dit is de snelheid waarmee de golf zich voortplant.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ecuacion-de-una-onda-tridimensional\"><\/span> Vergelijking van een driedimensionale golf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Gegeven de sferische symmetrie van driedimensionale golven, als we aannemen dat de driedimensionale golf zich voortplant door een isotroop medium, zoals lucht of water, kan de vergelijking die de beweging beschrijft als volgt in sferische co\u00f6rdinaten worden geschreven:<\/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> Door de vorige differentiaalvergelijking door integratie op te lossen, komen we dus tot de formule voor de <strong>vergelijking van een driedimensionale golf<\/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\"> Goud: <\/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> is de verlenging van de driedimensionale golf. <\/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> is de afstand tussen de oorsprong van de golf en het studiepunt. <\/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> is de amplitude van de driedimensionale golf. <\/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> is het golfgetal. <\/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> is de hoekfrequentie of pulsatie van de golf. <\/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> is het moment van de tijd. <\/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> is de beginfase van de golf. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-ondas\"><\/span> Andere soorten golven<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Afhankelijk van de dimensies waarin ze zich voortplanten, worden golven geclassificeerd als longitudinaal, tweedimensionaal of driedimensionaal. Naast driedimensionale golven zijn er dus ook de volgende twee soorten golven:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Eendimensionale golf<\/strong> : type golf dat zich in \u00e9\u00e9n dimensie voortplant, dat wil zeggen in \u00e9\u00e9n richting.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tweedimensionale golf<\/strong> : type golf dat zich in twee dimensies voortplant, dat wil zeggen langs een oppervlak.<\/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>Zie:<\/strong> <a href=\"https:\/\/physigeek.com\/nl\/eendimensionale-golf\/\">Eendimensionale golf<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Zie:<\/strong> <a href=\"https:\/\/physigeek.com\/nl\/tweedimensionale-golf\/\">Tweedimensionale golf<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>In dit artikel wordt uitgelegd wat driedimensionale golven in de natuurkunde zijn. Je zult dus de definitie van een driedimensionale golf vinden, wat de kenmerken ervan zijn en de vergelijking van een driedimensionale golf. Wat is een driedimensionale golf? Een driedimensionale golf , ook wel bolvormige golf genoemd, is een golf die zich in drie &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/driedimensionale-golf\/\"> <span class=\"screen-reader-text\">Driedimensionale golf<\/span> Weiterlesen &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-filmisch"],"yoast_head":"<!-- This site is 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