Coriolis- and Centrifugal Force in a Rotating Frame of Reference
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Coriolis- and Centrifugal Force in a Rotating Frame of Reference
IWF (Göttingen)
Formal Metadata
| Title |
Coriolis- and Centrifugal Force in a Rotating Frame of Reference
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| Alternative Title |
Coriolis- und Zentrifugalkraft im rotierenden Bezugssystem
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| Author |
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| 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 |
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| IWF Signature |
C 13095
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| Publisher |
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| Release Date |
2007
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| Language |
English
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| Other Version(s) | German |
| Producer |
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| Production Year |
2004
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Technical Metadata
| IWF Technical Data |
Video ; F, 6 min 21 sec
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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.
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| 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 |
00:00
Reference work
Spant
Computer animation
Mint-made errors
Wolkengattung
Centrifugal force
Coriolis effect
00:11
Reference work
Spant
Spiral galaxy
Brillouin zone
Tiefdruckgebiet
Meeting/Interview
Rotation
Storm
00:40
Spant
Reference work
Computer animation
Ballpoint pen
Centre Party (Germany)
Rotation
Rail profile
Disc brake
Movement (clockwork)
01:33
Reference work
Spant
Computer animation
Disc brake
Cosmic microwave background radiation
02:16
Frame rate
Trajectory
Direct current
Computer animation
Alcohol proof
Ballpoint pen
Limiter
Measurement
Rail profile
Disc brake
Technical drawing
03:28
Spant
Reference work
Computer animation
Movement (clockwork)
03:38
Ballpoint pen
Technical drawing
04:10
Computer animation
Ballpoint pen
04:20
Reference work
Acceleration
Effects unit
Ballpoint pen
Netztransformator
Force
Spant
Fictitious force
Computer animation
Cartridge (firearms)
Bahnelement
Fahrgeschwindigkeit
Remotely operated underwater vehicle
Centrifugal force
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Coriolis effect
05:59
Computer animation
00:01
Hey Coriolis and centrifugal force in a rotating frame of reference as 1 can see with these clouds error
00:14
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
00:32
1 on the southern hemisphere to study the phenomenon in a rotating frame of reference
00:40
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
01:16
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
01:34
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
02:17
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
03:26
diagram in polar coordinates the
03:34
the same movement is now examined in the rotating frame of reference using the
03:39
same method check the position of the ball is again
04:07
shown in polar coordinates
04:19
In the inertial frame of reference the ball
04:22
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
04:35
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
