Animation: Zentrifugal- und Zentripetalkraft: Unterschied zwischen den Versionen

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*Die Person sitzt an einem sich drehenden Tisch und hält einen Ball fest.
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Was ist der Unterschied zwischen Zentrifugal- und Zentripetalkraft?
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Gibt es die Zentrifugalkraft überhaupt oder ist sie eine "Scheinkraft"?
  
(Nach dem Film "frames of reference" des "The Physical Science Study Comittee".)
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Zwei Personen sitzen an einem sich drehenden Tisch. Eine Person hält einen Ball auf dem Tisch fest. Je nach Standort der BetrachterIn beschreibt man die Situation anders.
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framePossible = "false" showResetIcon = "false" showAnimationButton = "true" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" allowRescaling = "false" />
+
 
 +
(Nach dem Lehrfilm [https://archive.org/details/frames_of_reference Frames of Reference] des "Physical Science Study Committee", MIT, 1960 (ab 17:03))
 +
 
 +
(Zur [https://www.geogebra.org/material/show/id/AaVYxKZS Datei] und zum [https://www.geogebra.org/download?lang=de Programm])
 +
 
 +
{{#widget:Iframe
 +
|url=https://www.geogebra.org/material/iframe/id/huD8JyQz/width/798/height/514/border/888888/smb/false/stb/false/stbh/false/ai/false/asb/false/sri/true/rc/false/ld/false/sdz/false/ctl/false
 +
|width=798
 +
|height=514
 +
|border=0
 +
}}
 +
 
 +
Die Antwort ist: Es gibt die Zentrifugalkraft, aber nur, wenn man sich auf den sich drehenden Gegenstand setzt und möchte, dass weiterhin das Newtonsche Trägheitsgesetz gilt.
 +
 
 +
Drehbewegungen kann man von Innen beobachten, wie jemand, der mit dem Auto (Zug, Fahrrad) eine Kurve fährt oder aber, vom Bürgersteig aus, von Außen.
 +
 
 +
Aus Sicht der FahrerIn wird sie in der Kurve von der Zentrifugalkraft nach Außen gedrückt und der Sitz oder die Tür des Autos drückt in die entgegengesetzte Richtung. Die Person ändert ihren Impuls während der Kurvenfahrt nicht. Sie wird nur zusammengedrückt.
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Die Person auf dem Bürgersteig sieht, wie das Auto gegen die FahrerIn drückt und diese Zentripetalkraft sie somit auf einer Kreisbahn hält. Dabei ändert sich der Impuls der Person ständig.

Aktuelle Version vom 20. November 2022, 18:12 Uhr

Was ist der Unterschied zwischen Zentrifugal- und Zentripetalkraft? Gibt es die Zentrifugalkraft überhaupt oder ist sie eine "Scheinkraft"?

Zwei Personen sitzen an einem sich drehenden Tisch. Eine Person hält einen Ball auf dem Tisch fest. Je nach Standort der BetrachterIn beschreibt man die Situation anders.

(Nach dem Lehrfilm Frames of Reference des "Physical Science Study Committee", MIT, 1960 (ab 17:03))

(Zur Datei und zum Programm)

Die Antwort ist: Es gibt die Zentrifugalkraft, aber nur, wenn man sich auf den sich drehenden Gegenstand setzt und möchte, dass weiterhin das Newtonsche Trägheitsgesetz gilt.

Drehbewegungen kann man von Innen beobachten, wie jemand, der mit dem Auto (Zug, Fahrrad) eine Kurve fährt oder aber, vom Bürgersteig aus, von Außen.

Aus Sicht der FahrerIn wird sie in der Kurve von der Zentrifugalkraft nach Außen gedrückt und der Sitz oder die Tür des Autos drückt in die entgegengesetzte Richtung. Die Person ändert ihren Impuls während der Kurvenfahrt nicht. Sie wird nur zusammengedrückt.

Die Person auf dem Bürgersteig sieht, wie das Auto gegen die FahrerIn drückt und diese Zentripetalkraft sie somit auf einer Kreisbahn hält. Dabei ändert sich der Impuls der Person ständig.