{"id":392,"date":"2023-06-19T19:46:58","date_gmt":"2023-06-19T19:46:58","guid":{"rendered":"https:\/\/physigeek.com\/nl\/tangentiele-versnelling-of-lineaire-versnelling\/"},"modified":"2023-06-19T19:46:58","modified_gmt":"2023-06-19T19:46:58","slug":"tangentiele-versnelling-of-lineaire-versnelling","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/tangentiele-versnelling-of-lineaire-versnelling\/","title":{"rendered":"Tangenti\u00eble versnelling (of lineaire versnelling)"},"content":{"rendered":"<p>Dit artikel legt uit wat tangenti\u00eble versnelling (of lineaire versnelling) is in de natuurkunde. Zo ontdek je hoe je tangenti\u00eble versnelling berekent, een opgeloste oefening over tangenti\u00eble versnelling en bovendien wat de relatie is tussen tangenti\u00eble versnelling en andere kinematische concepten. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aceleracion-tangencial-o-aceleracion-lineal\"><\/span> Wat is tangenti\u00eble versnelling (of lineaire versnelling)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Tangenti\u00eble versnelling<\/strong> (of <strong>lineaire versnelling<\/strong> ) is de versnelling die raakt aan het traject van een cirkelvormige beweging. Met andere woorden, tangenti\u00eble versnelling geeft de variatie aan in de tangenti\u00eble snelheid van een lichaam dat in cirkelvormige beweging is.<\/p>\n<p> Over het algemeen wordt tangenti\u00eble versnelling weergegeven door het symbool a <sub>t<\/sub> .<\/p>\n<p> Tangenti\u00eble versnelling heeft dezelfde eenheden als elke versnelling, dat wil zeggen lengte-eenheden gedeeld door tijdseenheden in het kwadraat. Daarom is de eenheid van tangenti\u00eble versnelling in het Internationale Systeem (SI) de meter gedeeld per seconde in het kwadraat (m\/s <sup>2<\/sup> ). <\/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\/acceleration-normale-et-acceleration-tangentielle.png\" alt=\"tangenti\u00eble versnelling en normale versnelling\" class=\"wp-image-7327\" width=\"174\" height=\"214\"><\/figure>\n<p> Tangenti\u00eble versnelling ( <sub>at<\/sub> ) en centripetale versnelling ( <sub>ac<\/sub> ) zijn de twee vectorcomponenten van de versnelling van een mobiel apparaat dat een niet-uniforme cirkelvormige beweging beschrijft. Tangenti\u00eble versnelling raakt het pad van cirkelvormige beweging, terwijl centripetale versnelling naar het midden van het cirkelvormige pad wijst.<\/p>\n<p> Wanneer de tangenti\u00eble versnelling 0 is, betekent dit dat het lichaam in een uniforme cirkelvormige beweging (UCM) roteert, omdat de tangenti\u00eble snelheid dan constant is. <\/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-6dbb71d2b3360843eee81493883fd5c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ MCU\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"230\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-aceleracion-tangencial\"><\/span> Tangenti\u00eble versnellingsformule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bij uniform versnelde cirkelbeweging (UACM) varieert de tangenti\u00eble versnelling lineair. Daarom is de tangenti\u00eble versnelling gelijk aan de <a href=\"https:\/\/physigeek.com\/nl\/tangentiele-snelheid\/\">tangenti\u00eble snelheidstoename<\/a> gedeeld door de tijdstoename.<\/p>\n<p> De <strong>formule om de tangenti\u00eble versnelling (of lineaire versnelling) te berekenen<\/strong> 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-dacceleration-tangentielle.png\" alt=\"tangenti\u00eble versnellingsformule\" class=\"wp-image-7333\" width=\"272\" height=\"219\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-tangentielle-300x241.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-dacceleration-tangentielle.png 491w\" 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-ab56b4b3337ead2a6dab40b537d0ba6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de tangenti\u00eble versnelling. <\/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-74d93be25113f1e6e691f7c1c6235ce1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta v_t\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"29\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de toename van de tangenti\u00eble 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-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-3c84b6cd794af31de0b26bc61894cb22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_{t_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: -7px;\"><\/p>\n<p> is de uiteindelijke tangenti\u00eble 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-c4253442f62353d25af12ce7100066bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_{t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> is de initi\u00eble tangenti\u00eble 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-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> De waarde van de tangenti\u00eble versnelling moet als volgt worden ge\u00efnterpreteerd:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>a <sub>t<\/sub> &gt;0<\/strong> : als de tangenti\u00eble versnelling positief is, betekent dit dat de snelheidsmodule van de mobiel met de tijd toeneemt.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>op <sub>t<\/sub> &lt;0<\/strong> : als de tangenti\u00eble versnelling negatief is, betekent dit dat de module van de snelheid van de mobiel afneemt met de tijd.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>op <sub>t<\/sub> =0<\/strong> : als de tangenti\u00eble versnelling gelijk is aan nul, betekent dit dat de snelheidsmodule van de mobiel constant is.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-aceleracion-tangencial\"><\/span> Voorbeeld van het berekenen van tangenti\u00eble versnelling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Zodra we de definitie van tangenti\u00eble versnelling (of lineaire versnelling) hebben gezien en wat de formule ervan is, zullen we een concreet voorbeeld zien van hoe dit type versnelling wordt berekend.<\/p>\n<ul>\n<li> Een mobiel beschrijft een cirkelvormige beweging met een uniform versnelde snelheid. Op tijdstip t <sub>i<\/sub> = 2 s heeft het een tangenti\u00eble snelheid van 5 m\/s en op tijdstip t <sub>f<\/sub> = 6 s heeft het een tangenti\u00eble snelheid van 11 m\/s. Wat is de tangenti\u00eble versnelling van de mobiel?<\/li>\n<\/ul>\n<p> Om de tangenti\u00eble versnelling te vinden, moeten we de formule toepassen die in de vorige sectie is uitgelegd:<\/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-3eec7f9eb8d8e4ba295e9b1c476f1060_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{\\Delta v_t}{\\Delta t}=\\cfrac{v_{t_f}-v_{t_i}}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"159\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> In dit geval levert het probleem ons al alle benodigde gegevens op, dus vervangen we de waarden in de formule en berekenen we de tangenti\u00eble versnelling: <\/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-ee323b92e9f1b3da1447627276764d71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{11-5}{6-2}=\\cfrac{6}{4}=1.5 \\ \\cfrac{m}{s^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"195\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial-y-aceleracion-angular\"><\/span> tangenti\u00eble versnelling en hoekversnelling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Hoekversnelling<\/strong> is de versnelling waarmee een lichaam roteert, dat wil zeggen dat hoekversnelling de snelheid aangeeft waarmee de hoeksnelheid van een lichaam dat een cirkelvormige beweging maakt, varieert.<\/p>\n<p> Daarom is de <strong>relatie tussen tangenti\u00eble versnelling en hoekversnelling<\/strong> dat de hoekversnelling de waarde van de tangenti\u00eble versnelling bepaalt. Nauwkeuriger gezegd, de tangenti\u00eble versnelling is gelijk aan de hoekversnelling vermenigvuldigd met de straal van het cirkelvormige bewegingspad.<\/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-dcadf85fe24bbd678ca72ce3e1f0e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\alpha\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"71\" style=\"vertical-align: -3px;\"><\/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-ab56b4b3337ead2a6dab40b537d0ba6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de tangenti\u00eble versnelling. <\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de hoekversnelling. <\/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 pad van cirkelvormige beweging. <\/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\/hoekversnelling\/\">Wat is hoekversnelling?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial-y-aceleracion-centripeta\"><\/span> Tangenti\u00eble versnelling en centripetale versnelling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Tangenti\u00eble versnelling en centripetale versnelling zijn de twee vectorcomponenten van de versnelling van een lichaam die een cirkelvormige beweging beschrijven.<\/p>\n<p> Het <strong>verschil tussen tangenti\u00eble versnelling (of lineaire versnelling) en centripetale versnelling (of normale versnelling)<\/strong> is dat tangenti\u00eble versnelling raakt aan het pad van cirkelvormige beweging, terwijl centripetale versnelling naar het midden van het cirkelvormige pad wijst.<\/p>\n<p> Bovendien varieert tangenti\u00eble versnelling de amplitude van de snelheid van de mobiel die de cirkelvormige beweging uitvoert, terwijl centripetale versnelling de richting van de snelheid van de mobiel varieert. <\/p>\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\/centripetale-versnelling-of-normale-versnelling\/\">Centripetale versnelling (of normale versnelling)<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Dit artikel legt uit wat tangenti\u00eble versnelling (of lineaire versnelling) is in de natuurkunde. Zo ontdek je hoe je tangenti\u00eble versnelling berekent, een opgeloste oefening over tangenti\u00eble versnelling en bovendien wat de relatie is tussen tangenti\u00eble versnelling en andere kinematische concepten. Wat is tangenti\u00eble versnelling (of lineaire versnelling)? Tangenti\u00eble versnelling (of lineaire versnelling ) is &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/tangentiele-versnelling-of-lineaire-versnelling\/\"> <span class=\"screen-reader-text\">Tangenti\u00eble versnelling (of lineaire versnelling)<\/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-392","post","type-post","status-publish","format-standard","hentry","category-filmisch"],"yoast_head":"<!-- This site is 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