File:Coriolis.gif

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

Captions

Captions

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

Summary edit

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 edit

\[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 edit

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.

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

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