File:Coriolis.gif

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Coriolis.gif(800 × 398 pixels, file size: 529 KB, MIME type: image/gif, looped, 31 frames, 3.1 s)

Summary

Description
English: If your frame of reference is rotating, objects that are in fact moving in a straight line looks to you like they are bending sideways, like there was a lateral force acting on them (Coriolis force).
Date
Source https://twitter.com/j_bertolotti/status/1245346304454209536
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 12.0 code

\[Omega] = \[Pi]/2;
\[CapitalDelta] = 0.01;
sphr[t_] := Piecewise[{{0, t < 0.5}, {(t - 0.5)/Sqrt[2], 0.5 < t < 1.5}, {1/Sqrt[2], t >= 1.5}}];
landscape = {White, Table[Sphere[{RandomReal[{-4, 4}], RandomReal[{-4, 4}], 0.05}, 0.05], {40}]};
p0 = Table[
   GraphicsRow[{
     Graphics3D[{
       Purple, Table[Sphere[{sphr[\[Tau]], sphr[\[Tau]], 0.11}, 0.02], {\[Tau], 0.5, t, \[CapitalDelta]}], Sphere[{sphr[t], sphr[t], 0.2}, 0.1],
       landscape,
       Lighter@Gray, Cylinder[{{0, 0, 0}, {0, 0, 0.1}}, 1],
       Darker@Green, Cylinder[{{0, 0, 0}, {0, 0, -0.1}}, 10],
       Black, Thickness[0.009], Thick, Sphere[{0, 0, 0.1}, 0.05], 
       Line[{{-Cos[\[Omega] t], -Sin[\[Omega] t], 0.1}, {Cos[\[Omega] t], Sin[\[Omega] t], 0.1}}], 
       Line[{{-Cos[\[Omega] t + \[Pi]/2], -Sin[\[Omega] t + \[Pi]/2], 0.1}, {Cos[\[Omega] t + \[Pi]/2], Sin[\[Omega] t + \[Pi]/2], 0.1}}]
       }, Lighting -> "Neutral",  
      ViewVector -> {{3, 0, 1.5}, {0, 0, 0}}, ViewVertical -> {0, 0, 1}, ViewAngle -> 50*Degree, Boxed -> False, Background -> Black]
     ,
     Graphics3D[{
       Purple, Table[Sphere[{sphr[\[Tau]]*Sqrt[2] Cos[\[Omega] (t - \[Tau]) + \[Pi]/4], sphr[\[Tau]]*Sqrt[2] Sin[\[Omega] (t - \[Tau]) + \[Pi]/4], 0.11}, 0.02], {\[Tau], 0, t, \[CapitalDelta]}], 
       Sphere[{sphr[t], sphr[t], 0.2}, 0.1],
       landscape,
       Lighter@Gray, Cylinder[{{0, 0, 0}, {0, 0, 0.1}}, 1],
       Darker@Green, Cylinder[{{0, 0, 0}, {0, 0, -0.1}}, 10],
       Black, Thickness[0.009], Sphere[{0, 0, 0.1}, 0.05], 
       Line[{{-Cos[\[Omega] t], -Sin[\[Omega] t], 0.11}, {Cos[\[Omega] t], Sin[\[Omega] t], 0.11}}], 
       Line[{{-Cos[\[Omega] t + \[Pi]/2], -Sin[\[Omega] t + \[Pi]/2], 0.1}, {Cos[\[Omega] t + \[Pi]/2], Sin[\[Omega] t + \[Pi]/2], 0.1}}]
       }, Lighting -> "Neutral",  ViewVector -> {{3 Cos[\[Omega] t], 3 Sin[\[Omega] t], 1.5}, {0, 0, 0}}, ViewVertical -> {0, 0, 1}, ViewAngle -> 50*Degree, Boxed -> False, Background -> Black]
     }]
   , {t, 0, 1.5, 1/20}];
ListAnimate[p0]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Schematic of how Coriolis effect arise from a change of frame of refenence.

Items portrayed in this file

depicts

1 April 2020

image/gif

c7f906895c8ec26ceab8e8f8191ed6fb26200724

541,393 byte

3.1000000000000014 second

398 pixel

800 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current10:58, 2 April 2020Thumbnail for version as of 10:58, 2 April 2020800 × 398 (529 KB)BertoUploaded own work with UploadWizard
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