{"id":810,"date":"2022-04-18T14:45:00","date_gmt":"2022-04-18T12:45:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=810"},"modified":"2022-04-18T09:34:04","modified_gmt":"2022-04-18T07:34:04","slug":"relativkinetik-masse-in-rotierendem-rohr","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/en\/2022\/04\/18\/relativkinetik-masse-in-rotierendem-rohr\/","title":{"rendered":"Relativkinetik: Masse in rotierendem Rohr"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ein absoluter Klassiker der Relativkinetik ist eine Masse die sich reibungsfrei in einem rotierenden Rohr bewegen kann. Genau das wollen wir uns hier ansehen. <\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Ein Teilchen P mit der Masse m kann sich reibungsfrei in einem um die z-Achse drehbaren Rohr der L\u00e4nge l bewegen. Das Rohr rotiert mit der Winkelgeschwindigkeit \u03a9, die Winkelbeschleunigung betr\u00e4gt \u03a9\u02d9. F\u00fcr die Anfangsbedingungen r(0)=r0 gr\u00f6\u00dfer 0 und r\u02d9(0)=0 sind die untenstehende Gr\u00f6\u00dfen zu berechnen. <\/p><p>*Ortsvektor r_P(t) <br>*Relativgeschwindigkeit v_R, F\u00fchrungsgeschwindigkeit v_F und Absolutgeschwindigkeit v_P <br>*Relativbeschleunigung a_R, F\u00fchrungsbeschleunigung a_F, Coriolisbeschleunigung a_C und Absolutbeschleunigung a_P. <br>*Kr\u00e4fte auf die Masse *Abstand r(t) von der Drehachse f\u00fcr den Spezialfall \u03a9=const. <\/p><p>Hinweis: Alle Vektoren sind im mitrotierenden \u03be,\u03b7,\u03b6 System darzustellen.<\/p><\/blockquote>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"712\" height=\"517\" data-attachment-id=\"812\" data-permalink=\"https:\/\/technischemechanik.com\/en\/beispiel_3_13-5\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/beispiel_3_13-5.jpg?fit=798%2C579&amp;ssl=1\" data-orig-size=\"798,579\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"beispiel_3_13-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/beispiel_3_13-5.jpg?fit=712%2C517&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/beispiel_3_13-5.jpg?resize=712%2C517&#038;ssl=1\" alt=\"\" class=\"wp-image-812\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Und wie immer die Angabe zum Download:<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/relativkinetik_r03.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px;\" aria-label=\"Embed of Einbettung von relativkinetik_r03..\"><\/object><a id=\"wp-block-file--media-48c4727c-8c47-4f76-bf95-4e0c62853d74\" href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/relativkinetik_r03.pdf\">relativkinetik_r03<\/a><a href=\"https:\/\/technischemechanik.com\/wp-content\/uploads\/2022\/04\/relativkinetik_r03.pdf\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-48c4727c-8c47-4f76-bf95-4e0c62853d74\">Herunterladen<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Zum Ablaufplan der Rechnung ist hier eigentlich nicht viel zu sagen. Die Punkte (a) &#8211; (e) in der Angabe stellen n\u00e4mlich bereits einen guten Ablaufplan zur Verf\u00fcgung. Wir halten uns einfach daran und k\u00f6nnen auf direktem Wege alles berechnen. Nat\u00fcrlich k\u00f6nnt ihr den Rechenweg wieder Schritt f\u00fcr Schritt im verlinkten Video nachverfolgen. Viel Spa\u00df damit!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-handler-einbetten wp-block-embed-handler-einbetten wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"712\" height=\"401\" src=\"https:\/\/www.youtube.com\/embed\/i0oQJKbE2X4?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-GB&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Bei Fragen oder Anmerkungen zu Beispiel oder Rechenweg bitte einfach hier oder auf YouTube einen Kommentar hinterlassen. Ich freue mich auf eure R\u00fcckmeldungen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hat euch das Video gefallen? Dann lasst bitte ein Like hier auf dem Blog und auf YouTube da. Abonniert auch unbedingt den Kanal um kein Video mehr zu verpassen. Vielen Dank!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bis demn\u00e4chst,<br>Markus <\/p>\n\n\n<div class=\"crowdsignal-feedback-wrapper\" data-crowdsignal-feedback=\"{&quot;feedbackPlaceholder&quot;:&quot;Sag mir bitte was dir besonders gefallen hat und was ich verbessern soll! Vielen Dank!&quot;,&quot;submitText&quot;:&quot;Danke f\\u00fcr dein Feedback!&quot;,&quot;surveyId&quot;:2705235,&quot;title&quot;:&quot;Feedback&quot;,&quot;emailResponses&quot;:false,&quot;emailPlaceholder&quot;:&quot;Your Email&quot;,&quot;emailRequired&quot;:false,&quot;header&quot;:&quot;\\ud83d\\udc4b Hey there!&quot;,&quot;hideBranding&quot;:false,&quot;hideTriggerShadow&quot;:false,&quot;submitButtonLabel&quot;:&quot;Submit&quot;,&quot;toggleOn&quot;:&quot;click&quot;,&quot;triggerLabel&quot;:&quot;Feedback&quot;,&quot;x&quot;:&quot;left&quot;,&quot;y&quot;:&quot;bottom&quot;,&quot;status&quot;:&quot;open&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;nonce&quot;:&quot;77006c9619&quot;}\"><\/div>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%;\"><div class=\"crowdsignal-vote-wrapper\" data-crowdsignal-vote=\"{&quot;pollId&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;,&quot;title&quot;:&quot;Unbenannte Abstimmung 20&quot;,&quot;hideBranding&quot;:false,&quot;pollStatus&quot;:&quot;open&quot;,&quot;size&quot;:&quot;medium&quot;,&quot;borderWidth&quot;:1,&quot;borderRadius&quot;:5,&quot;hideResults&quot;:false,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11095098,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannte Abstimmung 20&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;up&quot;,&quot;id&quot;:50859965,&quot;client_id&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&quot;},{&quot;answer_text&quot;:&quot;down&quot;,&quot;id&quot;:50859966,&quot;client_id&quot;:&quot;b583d8b0-1c19-492c-a781-9f4dfba236ce&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/maomech.wordpress.com&quot;,&quot;client_id&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;}}\">\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&quot;,&quot;type&quot;:&quot;up&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;b583d8b0-1c19-492c-a781-9f4dfba236ce&quot;,&quot;type&quot;:&quot;down&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%;\"><div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;,&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;answerId&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&quot;,&quot;hideBranding&quot;:false,&quot;size&quot;:&quot;medium&quot;,&quot;pollStatus&quot;:&quot;open&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11095099,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;clap&quot;,&quot;id&quot;:50859967,&quot;client_id&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/maomech.wordpress.com&quot;,&quot;client_id&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;}}\"><\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Herzlich Willkommen! Ein absoluter Klassiker der Relativkinetik ist eine Masse die sich reibungsfrei in einem rotierenden Rohr bewegen kann. Genau das wollen wir uns hier ansehen. Ein Teilchen P mit der Masse m kann sich reibungsfrei in einem um die z-Achse drehbaren Rohr der L\u00e4nge l bewegen. Das Rohr rotiert mit der Winkelgeschwindigkeit \u03a9, die &hellip; <a href=\"https:\/\/technischemechanik.com\/en\/2022\/04\/18\/relativkinetik-masse-in-rotierendem-rohr\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Relativkinetik: Masse in rotierendem Rohr<\/span><\/a><\/p>","protected":false},"author":110396568,"featured_media":349,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_crdt_document":"","advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[2602546,1145536,727213054],"tags":[25466,2245662,7978,750913297,14741952,100678,35890,750913306,350894,166867,5481156,911145,113216,19668,8207,5685069,662707,21322,720191,1213491,143003,10126,67765249,73726871,727213065,727213063,750913305,161115,750913295,2411,1121513,727213064,82782145,4159057,13416281,1097356,2722,33601,202894,1268153],"class_list":["post-810","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ubungsaufgaben","category-dynamik","category-relativkinetik","tag-beispiel","tag-beschleunigung","tag-bildung","tag-dynamik","tag-einfach-erklart","tag-einfuhrung","tag-featured","tag-freikorperbild","tag-grundlagen","tag-hochschule","tag-kinetik","tag-klausur","tag-kraft","tag-lehrer","tag-lernen","tag-lernhilfe","tag-maschinenbau","tag-mathematik","tag-mechanik","tag-nachhilfe","tag-newton","tag-physik","tag-physik-grundlagen","tag-physik-nachhilfe","tag-relative-kinetics","tag-relativkinematik","tag-relativkinetik","tag-screencast","tag-statik","tag-studium","tag-technische-mechanik","tag-technische-mechanik-1","tag-technische-mechanik-3","tag-the-mechanik","tag-tm-3","tag-tm1","tag-uni","tag-universitat","tag-vektoren","tag-verstehen"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2021\/12\/relativkinetik-wordpress.png?fit=512%2C512&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7UJuu-d4","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/810","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/users\/110396568"}],"replies":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/comments?post=810"}],"version-history":[{"count":2,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/810\/revisions"}],"predecessor-version":[{"id":814,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/810\/revisions\/814"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media\/349"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media?parent=810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/categories?post=810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/tags?post=810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}