{"id":400,"date":"2023-06-19T12:50:28","date_gmt":"2023-06-19T12:50:28","guid":{"rendered":"https:\/\/physigeek.com\/nl\/cirkelvormige-beweging-versnelt-mcua-uniform\/"},"modified":"2023-06-19T12:50:28","modified_gmt":"2023-06-19T12:50:28","slug":"cirkelvormige-beweging-versnelt-mcua-uniform","status":"publish","type":"post","link":"https:\/\/physigeek.com\/nl\/cirkelvormige-beweging-versnelt-mcua-uniform\/","title":{"rendered":"Eenparig versnelde cirkelvormige beweging (mcua)"},"content":{"rendered":"<p>Dit artikel legt uit wat uniform versnelde cirkelvormige beweging (MCUA) is in de natuurkunde, ook wel uniform gevarieerde cirkelvormige beweging (MCUA) genoemd. Je vindt er ook de kenmerken van de MCUA en alle formules voor dit soort cirkelvormige bewegingen. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-movimiento-circular-uniformemente-acelerado-MCUA\"><\/span> Wat is een uniform versnelde cirkelbeweging (UACM)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Uniforme versnelde cirkelvormige beweging (MCUA)<\/strong> , ook wel <strong>uniform gevarieerde cirkelvormige beweging (MCUV)<\/strong> genoemd, is een beweging die een bewegend lichaam beschrijft dat rond een as roteert met een constante hoekversnelling. Daarom varieert de hoeksnelheid van een MCUA uniform.<\/p>\n<p> Het stuur van een auto volgt bij het starten bijvoorbeeld een uniform versnelde cirkelvormige beweging (MCUA). Op dezelfde manier zijn het stoppen van een ventilator of het laten draaien van een tol ook voorbeelden van gelijkmatig versnelde cirkelvormige bewegingen. <\/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\/exemple-mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"voorbeeld van uniform versnelde cirkelbeweging (UACM)\" class=\"wp-image-7577\" width=\"350\" height=\"294\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemple-mouvement-circulaire-uniformement-accelere-mcua-300x252.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemple-mouvement-circulaire-uniformement-accelere-mcua.png 516w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p> Het <strong>verschil tussen een uniform versnelde cirkelbeweging (MCUA) en een uniforme cirkelbeweging (MCU)<\/strong> is de waarde van de hoeksnelheid. In een MCU is de hoeksnelheid constant, maar in een MCUA neemt de hoeksnelheid toe of af met de tijd. <\/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\/uniforme-cirkelvormige-beweging-mcu\/\">Uniforme cirkelbeweging (UCM)<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-del-movimiento-circular-uniformemente-acelerado\"><\/span> Kenmerken van een uniform versnelde cirkelbeweging<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Een uniform versnelde cirkelvormige beweging (MCUA) heeft de volgende kenmerken:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Het belangrijkste kenmerk van een uniform versnelde cirkelbeweging (MCUA) is dat de hoekversnelling (\u03b1) constant is.<\/strong> Daarom is de hoeksnelheid van een MCUA niet constant, maar neemt deze in de loop van de tijd lineair toe of af.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">De snelheid van het lichaam (v) dat een uniform versnelde cirkelvormige beweging beschrijft, raakt aan het cirkelvormige traject en wordt daarom tangenti\u00eble snelheid of lineaire snelheid genoemd. De lichaamssnelheid neemt lineair toe of af met de tijd.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">Centripetale versnelling (of normale versnelling) is de vectorcomponent van de versnelling van de mobiel die de verandering in de richting van zijn snelheid veroorzaakt en daarom de oorzaak is van het cirkelvormige traject. De centripetale versnelling ( <sub>ac<\/sub> ) staat loodrecht op de tangenti\u00eble snelheid en wijst naar het midden van het cirkelvormige pad.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">De tangenti\u00eble versnelling (op <sub>t<\/sub> ) raakt het traject en is de vectorcomponent van de versnelling van de mobiel die de verandering in de amplitude van zijn snelheid veroorzaakt. Als de hoekversnelling positief is, zal de tangenti\u00eble versnelling dus ook positief zijn en zal de tangenti\u00eble snelheid toenemen. Aan de andere kant, als de hoekversnelling negatief is, zal de tangenti\u00eble versnelling ook negatief zijn en zal de tangenti\u00eble snelheid afnemen.<\/span> <\/li>\n<\/ol>\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\/mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"uniform versnelde cirkelvormige beweging (MCUA)\" class=\"wp-image-7580\" width=\"302\" height=\"393\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-circulaire-uniformement-accelere-mcua-231x300.png 231w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/mouvement-circulaire-uniformement-accelere-mcua.png 437w\" sizes=\"auto, (max-width: 231px) 100vw, 231px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-del-movimiento-circular-uniformemente-acelerado\"><\/span> Uniform versnelde formules voor cirkelbewegingen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Vervolgens zullen we zien wat alle formules zijn voor uniform versnelde cirkelvormige beweging (MCUA), ook bekend als uniform gevarieerde cirkelvormige beweging (MCUV). Met deze formules kunnen we oefeningen van dit soort bewegingen oplossen.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion-angular\"><\/span> hoekige positie<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> De hoekpositie verwijst naar de hoek die de mobiel aflegt en die een gelijkmatig versnelde cirkelvormige beweging beschrijft. De formule voor het berekenen van de hoekpositie van een mobiel die een MCUA uitvoert, 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-7bdba50955cc964a96e6eb130757b984_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta =\\theta_0+\\omega_0\\cdot t +\\cfrac{1}{2}\\cdot\\alpha\\cdot t^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"191\" style=\"vertical-align: -12px;\"><\/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-7b2034939b850e3311120fca462ab64e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de uiteindelijke hoekpositie, uitgedrukt in radialen. <\/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-4ab63afa2b487b4402027ad7d97fbb5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de initi\u00eble hoekpositie, uitgedrukt in radialen. <\/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-16d6124ee5830d799cd0f950cbe78fa5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de initi\u00eble 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-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 de verstreken 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-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<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-angular\"><\/span> Hoeksnelheid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Hoeksnelheid is de snelheid waarmee de mobiel draait, beschreven door de MCUA. Hoeksnelheid geeft dus de snelheid aan waarmee een lichaam zijn hoekpositie verandert.<\/p>\n<p> Bij uniform versnelde cirkelbewegingen (UACM) neemt de hoeksnelheid lineair toe of af als functie van de tijd. Daarom is in dit geval de hoeksnelheid van een moment gelijk aan de initi\u00eble hoeksnelheid plus het product van de hoekversnelling maal de verstreken tijd.<\/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-51b2ef36d6588d9aba93e29573c6bd1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\omega_0+\\alpha \\cdot t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"106\" 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-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-16d6124ee5830d799cd0f950cbe78fa5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de initi\u00eble 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-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-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 waarop de hoeksnelheid wordt berekend. <\/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\">Opgeloste oefening hoeksnelheid<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-angular\"><\/span>hoekversnelling<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Hoekversnelling geeft de verandering in de hoeksnelheid van een lichaam aan. Met andere woorden: de hoekversnelling vertegenwoordigt de snelheid waarmee de hoeksnelheid verandert.<\/p>\n<p> Bij een uniform versnelde cirkelbeweging is de hoekversnelling constant, dus wordt deze berekend met behulp van de volgende formule:<\/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-fedefe7f3708477dc61b93a792509ab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=\\cfrac{\\Delta\\omega}{\\Delta t}=\\cfrac{\\omega_f-\\omega_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"148\" style=\"vertical-align: -18px;\"><\/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-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-94f4e26a511e85d1ab00d3f1686bf7e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de verandering in 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-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-562a49afd4fa3e0e36dd810290074f64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"19\" style=\"vertical-align: -6px;\"><\/p>\n<p> is de uiteindelijke 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-90b8586302c2fbf8bfa7a04162507ebd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de initi\u00eble 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-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<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\">Opgeloste oefening hoekversnelling<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Velocidad-tangencial\"><\/span> tangenti\u00eble snelheid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Tangenti\u00eble snelheid (of lineaire snelheid) is de snelheid die raakt aan het traject van een cirkelvormige beweging, dat wil zeggen dat tangenti\u00eble snelheid de momentane snelheid is van een lichaam dat op een bepaald moment een cirkelvormige beweging uitvoert.<\/p>\n<p> De formule voor het berekenen van de tangenti\u00eble snelheid van een lichaam dat een uniform gevarieerde cirkelvormige beweging (MCUV) beschrijft, is 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-f8d0d9abbb8f59e8bb19042091cb64ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v=v_0+a_t\\cdot t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"105\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Op dezelfde manier is de tangenti\u00eble snelheid van een moment gelijk aan de hoeksnelheid van hetzelfde moment vermenigvuldigd met de straal van het traject:<\/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-ae782b74821f3d74ff5d24c88dfc5b6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_t=\\omega_t\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"76\" 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-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 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-033c1c43e83708a4a975dedd88f197a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_0\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/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-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-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 de verstreken 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-0689315c308e8e72d1c638429ce19f17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"w_t\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de hoeksnelheid op het moment waarop de tangenti\u00eble snelheid wordt berekend. <\/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 cirkelvormige pad. <\/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\">Opgeloste oefening tangenti\u00eble snelheid<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-tangencial\"><\/span> Tangenti\u00eble versnelling<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Tangenti\u00eble versnelling (of lineaire versnelling) is de versnelling die raakt aan het pad 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> Bij uniform versnelde cirkelbeweging (MCUA) is de tangenti\u00eble versnelling constant, dus deze kan worden bepaald door de volgende formule toe te passen:<\/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-6207cac9ba38c317443aa089c95aa26f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_t=\\cfrac{\\Delta v_t}{\\Delta t}=\\cfrac{v_f-v_i}{t_f-t_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"149\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Op dezelfde manier is de tangenti\u00eble versnelling gelijk aan de hoekversnelling vermenigvuldigd met de straal van het traject:<\/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-94ac7e028a0584ad0183447f9c0fe2f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta v\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"24\" style=\"vertical-align: 0px;\"><\/p>\n<p> is de variatie 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-5d8e0d73e36f7ffd98c73baf4bec8be0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_f\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -6px;\"><\/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-c9928f5e418ac3466349509fd03bdead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"14\" style=\"vertical-align: -3px;\"><\/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<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 cirkelvormige pad. <\/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\">Opgeloste oefening tangenti\u00eble versnelling<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aceleracion-centripeta\"><\/span> Centripetale versnelling<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> De centripetale versnelling (of normale versnelling) is gelijk aan het kwadraat van de tangenti\u00eble snelheid gedeeld door de straal van het traject. Op dezelfde manier kan de centripetale versnelling ook worden berekend door het kwadraat van de hoeksnelheid te vermenigvuldigen met de straal van het traject.<\/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-d8e3ff8b9e0dd9293abae7ce56539c75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_c=\\cfrac{v^2}{r}=\\omega^2\\cdot r\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"122\" style=\"vertical-align: -12px;\"><\/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-34507a55d19314330bf60a03e52dc3b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_c\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> is de centripetale versnelling (of normale 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-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 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-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<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<\/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\">Opgeloste oefening centripetale versnelling<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resumen-de-las-formulas-del-movimiento-circular-uniformemente-acelerado\"><\/span> Samenvatting van formules voor uniform versnelde cirkelbeweging<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Samenvattend laten we u hieronder een tabel achter met alle formules voor uniform versnelde cirkelvormige beweging (MCUA). <\/p>\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\/formules-mouvement-circulaire-uniformement-accelere-mcua.png\" alt=\"formules voor uniform versnelde cirkelbewegingen\" class=\"wp-image-7597\" width=\"453\" height=\"646\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-210x300.png 210w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-718x1024.png 718w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua-768x1095.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formules-mouvement-circulaire-uniformement-accelere-mcua.png 872w\" sizes=\"auto, (max-width: 210px) 100vw, 210px\"><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dit artikel legt uit wat uniform versnelde cirkelvormige beweging (MCUA) is in de natuurkunde, ook wel uniform gevarieerde cirkelvormige beweging (MCUA) genoemd. Je vindt er ook de kenmerken van de MCUA en alle formules voor dit soort cirkelvormige bewegingen. Wat is een uniform versnelde cirkelbeweging (UACM)? Uniforme versnelde cirkelvormige beweging (MCUA) , ook wel uniform &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/nl\/cirkelvormige-beweging-versnelt-mcua-uniform\/\"> <span class=\"screen-reader-text\">Eenparig versnelde cirkelvormige beweging (mcua)<\/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-400","post","type-post","status-publish","format-standard","hentry","category-filmisch"],"yoast_head":"<!-- This site is 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