Coriolis- and Centrifugal Force in a Rotating Frame of Reference

Video in TIB AV-Portal: Coriolis- and Centrifugal Force in a Rotating Frame of Reference

Formal Metadata

Title
Coriolis- and Centrifugal Force in a Rotating Frame of Reference
Alternative Title
Coriolis- und Zentrifugalkraft im rotierenden Bezugssystem
Author
License
CC Attribution - NonCommercial - NoDerivatives 3.0 Germany:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
IWF Signature
C 13095
Publisher
Release Date
2007
Language
English
Other Version(s) German
Producer
Universität Kaiserslautern, Fachbereich Physik, Arbeitsgruppe Jodl (Kaiserslautern)
Production Year
2004

Technical Metadata

IWF Technical Data
Video ; F, 6 min 21 sec

Content Metadata

Subject Area
Abstract
Das Verhalten einer Kugel auf einer rotierenden Scheibe wird aus der Sicht eines außenstehenden wie aus der Sicht eines mitrotierenden Beobachters untersucht. Man beobachtet die Krümmung der Bahnkurve im rotierenden System und führt aufgrund der Relativbeschleunigung des rotierenden Systems zusätzliche Trägheitskräfte ein, um die Bewegung der Kugel im rotierenden System mit Hilfe des zweiten Newtonschen Axioms erklären zu können.
The trajectory of a ball on a rotating disk is examined both from the point of view of an outside person and from the point of view of a rotating observer. One observes the curvature of the trajectory in the rotating system and introduces additional forces, in order to be able to explain the movement of the ball in the rotating system with the help of the Newton's second axiom.
Keywords Zweites Newtonsches Axiom: Das Aktionsprinzip ("lex secunda") 2. Newtonsches Axiom Trägheitskraft Relativbeschleunigung rotierendes System Zentrifugalkraft Corioliskraft Coriolis force Coriolis effect centrifugal force trajectory rotating system Newton's second axiom Newton's second law: law of acceleration acceleration
IWF Classification Mechanik Physik physics mechanics
Reference work Spant Computer animation Mint-made errors Wolkengattung Centrifugal force Coriolis effect
Reference work Spant Spiral galaxy Brillouin zone Tiefdruckgebiet Meeting/Interview Rotation Storm
Spant Reference work Computer animation Ballpoint pen Centre Party (Germany) Rotation Rail profile Disc brake Movement (clockwork)
Reference work Spant Computer animation Disc brake Cosmic microwave background radiation
Frame rate Trajectory Direct current Computer animation Alcohol proof Ballpoint pen Limiter Measurement Rail profile Disc brake Technical drawing
Spant Reference work Computer animation Movement (clockwork)
Ballpoint pen Technical drawing
Computer animation Ballpoint pen
Reference work Acceleration Effects unit Ballpoint pen Netztransformator Force Spant Fictitious force Computer animation Cartridge (firearms) Bahnelement Fahrgeschwindigkeit Remotely operated underwater vehicle Centrifugal force Movement (clockwork) Coriolis effect
Computer animation
Hey Coriolis and centrifugal force in a rotating frame of reference as 1 can see with these clouds error
does not move straight into a zone of low pressure but on a spiral the rotation of a low pressure storm on the northern hemisphere is opposite to
1 on the southern hemisphere to study the phenomenon in a rotating frame of reference
we examine the movement of a ball from 2 or different frames of reference the a disk with a radius of 23 . 5 centimeters rotates around its centre 1 camera is connected to the table and shows the inertial frame of reference the other rotates with the disk and thus shows a rotating frame of reference here the schematic setup of the
experiment the ball it accelerated by a gravitational force in a guide rail and keeps moving practically force-free with constant speed after leaving it in the
picture of the camera in the inertial frame of reference on the top left the table in the background appears to be fixed In the rotating frame of reference on the top right the background seems to rotate why the disk is fixed 1 has to remember that both cameras show the same experiment recorded at the same time the angular speed is 1 hertz but
to examine the trajectories we register the position of the ball with the red dot the because of the limited frame rate of the camera the position of the ball is unclear on some pictures the inaccuracy of the measured position of the ball is approximately 1 centimeter radially and 1 degree tangentially the time measurement starts when the ball is in the center of the disk check for a quantitative analysis we use polar coordinates with 0 degrees in the direction the ball moves when heating the guide rail here 1 sees the complete
diagram in polar coordinates the
the same movement is now examined in the rotating frame of reference using the
same method check the position of the ball is again
shown in polar coordinates
In the inertial frame of reference the ball
moves nearly on a straight line it moves along a curve in the rotating frame of reference although it is the same experiment examined in both cases the measured values
location and velocity and acceleration are denoted ah V and 80 in the inertial frame of reference the In the rotating frame of reference and apostrophes analyzing the results 1 sees while the ball in the inertial frame of reference moves nearly force-free and thus without acceleration this is not true for the rotating frame of reference they're the acceleration is unequal to 0 the this means that 1 has to implement inertial forces because of the relative acceleration of the systems With this inertial force the movement of the ball can be explained in both systems using Newton's 2nd Law the thus the rotating frame of reference is a non-inertial frame of reference the transformation of location velocity and acceleration between both frames requires e questions of transformation the additional force in the rotating frame of reference is composed of Coriolis force and centrifugal force the the Coriolis force takes effect perpendicular to the velocity of the examined element the centrifugal force is always directed outwards
Feedback