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Spatial Geometry of a Uniformly Rotating Reference Frame JS Model
written by Kostas Papamichalis
The Spatial Geometry of a Uniformly Rotating Reference Frame JS Model explores the spatial geometry of the relativistic and the Newtonian reference frames. The left window depicts a Newtonian world and the right, a relativistic. In both cases, there has been drawn a circle whose radius R can be controlled by the user. The user can drag and transfer a vector parallel to itself along the boundary of the circle. In the relativistic world, the rest plane is not Euclidean and the parallel displacing vector when returns at its initial position has a direction which is in general different from the original. By using the theoretical model (see the attached pdf-file), and the measured angles, the user can calculate the angular velocity of the rotating frame.  Furthermore, the relativistic observer measures the length L of the boundary of the circle and its diameter, and he finds out that their ratio is different of pi; it depends on the angular velocity of the rotating frame  and the radius of the circle.
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Relativity
- Mathematics
= Tensors
- Reference Frames
= Inertial
= Non-inertial
- Spacetime Fundamentals
= Metric
- Graduate/Professional
- Upper Undergraduate
- Instructional Material
= Activity
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/javascript
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http://users.sch.gr/kostaspapamic…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 license.
Rights Holder:
Kostas Papamichalis
Record Creator:
Metadata instance created July 6, 2021 by kostas papamichalis
Record Updated:
August 4, 2021 by Bruce Mason
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Record Link
AIP Format
K. Papamichalis, (2021), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449).
AJP/PRST-PER
K. Papamichalis, Spatial Geometry of a Uniformly Rotating Reference Frame JS Model, (2021), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449>.
APA Format
Papamichalis, K. (2021). Spatial Geometry of a Uniformly Rotating Reference Frame JS Model. Retrieved September 17, 2021, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449
Chicago Format
Papamichalis, Kostas. Spatial Geometry of a Uniformly Rotating Reference Frame JS Model. 2021. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449 (accessed 17 September 2021).
MLA Format
Papamichalis, Kostas. Spatial Geometry of a Uniformly Rotating Reference Frame JS Model. 2021. 17 Sep. 2021 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449>.
BibTeX Export Format
@misc{ Author = "Kostas Papamichalis", Title = {Spatial Geometry of a Uniformly Rotating Reference Frame JS Model}, Volume = {2021}, Number = {17 September 2021}, Year = {2021} }
Refer Export Format

%A Kostas Papamichalis %T Spatial Geometry of a Uniformly Rotating Reference Frame JS Model %D 2021 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449 %O text/html

EndNote Export Format

%0 Electronic Source %A Papamichalis, Kostas %D 2021 %T Spatial Geometry of a Uniformly Rotating Reference Frame JS Model %V 2021 %N 17 September 2021 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15700&DocID=5449


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Spatial Geometry of a Uniformly Rotating Reference Frame JS Model:

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