File:Spinning-disk.svg

Summary

Description
English: Illustration of a solid spinning disk
Date
Source Own work
Author Geek3
Other versions Ehrenfest-paradox-disk.svg

Source Code

The image is created by the following source-code. Requirements:

python source code:

#!/usr/bin/python
# -*- coding: utf8 -*-

try:
    import svgwrite as svg
except ImportError:
    print 'You need to install svgwrite: http://pypi.python.org/pypi/svgwrite/'
    exit(1)

from math import *

size = 220, 146
rx, ry = size[0] / 2 - 3, 50
v = float(ry) / float(rx)
l = 40
lw = 2

# document
doc = svg.Drawing('spinning-disk.svg', size=size)
doc['stroke-width'] = lw
doc['fill'] = 'white'
doc['stroke'] = 'black'
doc['stroke-linejoin'] = 'miter'

# background
doc.add(doc.rect(id='background', insert=(0, 0), size=size, stroke='none'))

# disk
grad = doc.defs.add(doc.linearGradient(id='grad', start=('0%',0), end=('100%',0), gradientUnits='objectBoundingBox'))
grad.add_stop_color(offset=0, color='#f7f7f7')
grad.add_stop_color(offset=0.5, color='#dddddd')
grad.add_stop_color(offset=1, color='#999999')
disk = doc.add(doc.g(id='disk', transform='translate(' + str(size[0]/2) + ',' + str(ry+3) + ')'))
path = 'M ' + str(-rx) + ',0 V ' + str(l)
path += ' A ' + str(rx) + ',' + str(ry) + ' 0 1 0 ' + str(rx) + ',' + str(l)
path += ' V 0 Z'
disk.add(doc.path(d=path, fill='url(#grad)', stroke_linejoin='bevel'))
disk.add(doc.ellipse(center=(0, 0), r=(rx, ry), fill='#d8d8d8'))
disk.add(doc.ellipse(center=(0, 0), r=(2, 2.0*v), fill='black'))
radius_angle = radians(-40.0)
csr = cos(radius_angle), sin(radius_angle)
disk.add(doc.line(start=(0,0), end=(rx*csr[0], ry*csr[1]),
    stroke_width=lw*sqrt(csr[0]**2 + (v*csr[1])**2)))
# round arrow
ar, aw, ah, ab, al, a0, a1 = 0.7*rx, 7, 2, 1, 3, radians(160), radians(100)
apath = 'M ' + str(ar*cos(a0)) + ',' + str(ar*sin(a0))
apath += ' A %f,%f 0 0 0 %f,%f' % (ar, ar, ar*cos(a1), ar*sin(a1))
arrowhead = doc.defs.add(doc.marker(id='arrowhead', orient='auto', overflow='visible'))
arrowhead.add(doc.path(fill='black', stroke='none',
    d='M 0.0,0.0 L %f,%f L %f,0 L %f,%f L 0,0 z'%(-ab, -ah, al, -ab, ah)))
arrow = doc.path(d=apath, fill='none', stroke_width=aw, transform='scale(1,' + str(v) + ')')
arrow['marker-end'] = arrowhead.get_funciri()
disk.add(arrow)

# text
doc.add(doc.path(id='omega', stroke='none', fill='black',
transform='translate(70,70) scale(0.03,-0.03)',
d='M 13 0 m 251 82 c 9 -63 43 -93 94 -93 c 59 0 113 38 153 93 c 75 104 94 \
255 94 289 c 0 71 -37 71 -43 71 c -25 0 -50 -26 -50 -48 c 0 -13 6 -19 15 -27 \
c 32 -33 35 -65 35 -87 c 0 -85 -85 -219 -190 -219 c -9 0 -37 0 -55 23 c -12 \
16 -20 35 -20 55 c 0 3 0 5 6 16 c 19 45 33 100 33 113 c 0 12 -7 23 -21 23 c \
-11 0 -20 -9 -28 -25 c -2 -5 -14 -49 -21 -101 c -2 -18 -2 -20 -9 -27 c -44 \
-61 -90 -77 -124 -77 c -66 0 -88 55 -88 114 c 0 75 37 158 84 225 c 10 14 10 \
16 10 19 c 0 8 -6 12 -12 12 c -16 0 -62 -88 -76 -120 c -37 -89 -38 -171 -38 \
-180 c 0 -80 30 -142 106 -142 c 65 0 113 46 145 93 z'))
doc.add(doc.path(id='r', stroke='none', fill='black',
transform='translate(152,60) scale(0.03,-0.03)',
d='M 29 0 m 59 59 c -3 -15 -9 -38 -9 -43 c 0 -18 14 -27 29 -27 c 12 0 30 8 \
37 28 c 2 4 36 140 40 158 c 8 33 26 103 32 130 c 4 13 32 60 56 82 c 8 7 37 33 \
80 33 c 26 0 41 -12 42 -12 c -30 -5 -52 -29 -52 -55 c 0 -16 11 -35 38 -35 c \
27 0 55 23 55 59 c 0 35 -32 65 -83 65 c -65 0 -109 -49 -128 -77 c -8 45 -44 \
77 -91 77 c -46 0 -65 -39 -74 -57 c -18 -34 -31 -94 -31 -97 c 0 -10 10 -10 12 \
-10 c 10 0 11 1 17 23 c 17 71 37 119 73 119 c 17 0 31 -8 31 -46 c 0 -21 -3 \
-32 -16 -84 z'))

doc.save()

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
Category:License migration redundant#Spinning-disk.svgCategory:GFDL#Spinning-disk.svg
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Category:CC-BY-3.0#Spinning-disk.svg
You may select the license of your choice.
Category:Self-published work Category:Images with Python source code Category:Cylinders Category:Photos by User:Geek3
Category:CC-BY-3.0 Category:Cylinders Category:GFDL Category:Images with Python source code Category:License migration redundant Category:Pages using deprecated source tags Category:Photos by User:Geek3 Category:Self-published work