File:Pendule de Foucault-vitesse nulle.png
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Pendule_de_Foucault-vitesse_nulle.png (640 × 480 pixels, file size: 7 KB, MIME type: image/png)
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[edit]DescriptionPendule de Foucault-vitesse nulle.png |
Français : Traces d'un pendule de Foucault laché avec une vitesse nulle.
English: Trace of a Foucault pendulum released with a null speed
Polski: Tor ruchu wahadła Focaulta wypuszczonego bez prędkości początkowej |
Date | |
Source | Own work |
Author | Nbrouard |
# Gnuplot programme foucault.gp g=9.81 #m/s2 l=63 # mètres omega=sqrt(g/l) Omega=2*pi/24/3600 # Rotation de la terre, 24 heures par jour Omega=2*pi/3600*80 # Rotation très rapide en 1/80e d'heure pour le dessin print 2*pi/Omega theta=pi/4. # latitude de 45 degrés omegz=sqrt(omega*omega+Omega*Omega*sin(theta)*sin(theta)) complex(x,y)=x*{1,0}+y*{0,1} # fonction utile # cas où le pendule est propulsé du centre avec une vitesse de 2m/s z0={0,0} vz=2 # Si propulsé au centre avec une vitesse de 2 m/s zp0=complex(vz,0) # cas 'historique' où le pendule est lancé sans vitesse # initiale à 5 m du centre. z0={5,0} zp0={0,0} print zp0 c1=z0/2.*(1+Omega/omegz*sin(theta))*{1,0}-zp0/2./omegz*{0,1} c2=z0/2.*(1-Omega/omegz*sin(theta))*{1,0}+zp0/2./omegz*{0,1} eix(x)=cos(x)*{1,0}+sin(x)*{0,1} z(t)=c1*eix(-(Omega*sin(theta)-omegz)*t) + c2*eix(-(Omega*sin(theta)+omegz)*t) set samples 1000 set parametric plot [t=0:2*pi/Omega/sin(theta)] real(z(t)),imag(z(t)) # replot abs(z0)*cos(t),abs(z0)*sin(t) set ter png set out "foucault-vitesse-nulle.png" replot
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:49, 28 February 2007 | 640 × 480 (7 KB) | Nbrouard (talk | contribs) | {{Information |Description= {{fr|Traces d'un pendule de Foucault laché avec une vitesse nulle.}} {{en| Trace of a Foucault pendulum released with a null speed}} |Source= own work |Date=2007.03.01 |Author=Nbrouard |Permission=see below |other_versions= } |
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