{"id":395,"date":"2023-06-19T16:58:51","date_gmt":"2023-06-19T16:58:51","guid":{"rendered":"https:\/\/physigeek.com\/nl\/lineaire-snelheid\/"},"modified":"2023-06-19T16:58:51","modified_gmt":"2023-06-19T16:58:51","slug":"lineaire-snelheid","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/lineaire-snelheid\/","title":{"rendered":"Lineaire snelheid"},"content":{"rendered":"<p>Dit artikel legt uit wat lineaire snelheid is in de natuurkunde. Zo ontdek je hoe je lineaire snelheid berekent, de relatie tussen lineaire snelheid en hoeksnelheid en bovendien een oefening die stap voor stap wordt opgelost.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-velocidad-lineal\"><\/span> Wat is lineaire snelheid?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Lineaire snelheid<\/strong> is de verandering in de positie van een bewegend lichaam ten opzichte van de tijd. Bij een cirkelvormige beweging is de lineaire snelheid de snelheid die het bewegende lichaam op een bepaald moment heeft en daarom raakt de lineaire snelheid het pad van de cirkelvormige beweging.<\/p>\n<p> Het symbool voor lineaire snelheid is de letter v, hoewel deze ook wordt weergegeven door het symbool <sub>v<\/sub> omdat deze ook <strong>tangenti\u00eble snelheid<\/strong> kan worden genoemd. <\/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\/vitesse-lineaire.png\" alt=\"lineaire snelheid\" class=\"wp-image-7450\" width=\"187\" height=\"205\"><\/figure>\n<p> De lineaire snelheid is een vector die altijd raakt aan het traject van de mobiel die de cirkelvormige beweging uitvoert. Op dezelfde manier, als de lineaire snelheid constant is, is het een uniforme cirkelvormige beweging, maar als de lineaire snelheid variabel is, is het een gevarieerde cirkelvormige beweging. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-velocidad-lineal\"><\/span> Lineaire snelheidsformule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> De gemiddelde lineaire snelheid is gelijk aan de lineaire verplaatsing (\u0394s) gedeeld door het verstreken tijdsinterval (\u0394t). Om de gemiddelde lineaire snelheid te berekenen, moet daarom het verschil tussen de eind- en beginpositie worden gedeeld door het verschil tussen het eind- en beginmoment (v = \u0394s\/\u0394t).<\/p>\n<p> De <strong>formule voor het berekenen van de gemiddelde lineaire snelheid<\/strong> tussen twee posities op een cirkelvormig traject is daarom: <\/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\/formule-lineaire-de-vitesse.png\" alt=\"lineaire snelheidsformule\" class=\"wp-image-7453\" width=\"211\" height=\"211\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-lineaire-de-vitesse-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-lineaire-de-vitesse-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-lineaire-de-vitesse.png 366w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\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-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de gemiddelde lineaire snelheid. <\/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-3db0030e4bedf27f75c7b9ba39f740f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta s\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de lineaire verschuiving. <\/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-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de temporele variatie. <\/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-0d993700c8ce8740d5b78d90dad61460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p> is de eindpositie. <\/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-2071979c45a4a9e06d8cccc739ffc771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de uitgangspositie. <\/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-82d36af17e232807e56da9ccdbbda0d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_f\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"14\" style=\"vertical-align: -6px;\"><\/p>\n<p> is het laatste moment. <\/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-bf289b768173104db12fe7044c723db4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<p> is het eerste moment.<\/span><\/li>\n<\/ul>\n<p> Lineaire snelheid wordt uitgedrukt in lengte-eenheden gedeeld door tijdseenheden. Daarom is de eenheid van lineaire snelheid in het internationale systeem de meter gedeeld per seconde (m\/s). <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-lineal-y-velocidad-angular\"><\/span> Lineaire snelheid en hoeksnelheid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In deze sectie zullen we zien wat de relatie is tussen lineaire snelheid en hoeksnelheid, aangezien de lineaire snelheid van een lichaam dat een cirkelvormige beweging beschrijft ook kan worden berekend op basis van de hoeksnelheid.<\/p>\n<p> <strong>Lineaire snelheid en hoeksnelheid zijn wiskundig gerelateerd<\/strong> , in het bijzonder hebben lineaire snelheid en hoeksnelheid een lineair verband. Omdat de lineaire snelheid gelijk is aan de hoeksnelheid maal de straal van het pad van de cirkelvormige beweging.<\/p>\n<p> De formule die lineaire snelheid relateert aan hoeksnelheid is dus als volgt:<\/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-6f08a141bf77287b0879ca243191c7ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v=\\omega\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"65\" style=\"vertical-align: 0px;\"><\/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-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de lineaire snelheid. <\/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 hoeksnelheid. <\/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 straal van het roterende bewegingspad. <\/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\/hoeksnelheid\/\">Concept van hoeksnelheid<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-velocidad-lineal\"><\/span> Voorbeeld van lineaire snelheidsberekening<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Om het concept van lineaire snelheid en de manier waarop deze wordt berekend te begrijpen, zullen we ten slotte een concreet voorbeeld zien waarin we dit soort snelheid aantreffen.<\/p>\n<ul>\n<li> Een mobiel volgt een traject dat een uniforme cirkelvormige beweging beschrijft met een straal van 7 m. Als de hoeksnelheid van het lichaam 1,5 rad\/s is, wat is dan de lineaire snelheid?<\/li>\n<\/ul>\n<p> Om de lineaire snelheid te vinden van de mobiel die een uniforme cirkelvormige beweging volgt, past u eenvoudigweg de bovenstaande formule toe:<\/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-6f08a141bf77287b0879ca243191c7ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v=\\omega\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> In dit geval geeft de probleemstelling ons al alle gegevens die we nodig hebben, dus pluggen we de waarden in de formule en berekenen we de lineaire snelheid:<\/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-2c79b46d367baa15147274c71b6bcf90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v=1,5\\cdot 7=10,5\\ \\cfrac{m}{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"162\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dit artikel legt uit wat lineaire snelheid is in de natuurkunde. Zo ontdek je hoe je lineaire snelheid berekent, de relatie tussen lineaire snelheid en hoeksnelheid en bovendien een oefening die stap voor stap wordt opgelost. Wat is lineaire snelheid? Lineaire snelheid is de verandering in de positie van een bewegend lichaam ten opzichte van &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/lineaire-snelheid\/\"> <span class=\"screen-reader-text\">Lineaire snelheid<\/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-395","post","type-post","status-publish","format-standard","hentry","category-filmisch"],"yoast_head":"<!-- This site is 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