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Deflategate temperature heatmap
{
"cells": [
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x114024fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from __future__ import division\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def pt_convert(t_pg, t_ht, p_ht=11.48636):\n",
" p_atm_ht = 14.7\n",
" p_atm_pg = 14.7\n",
" t_pg = 5 / 9 * (t_pg + 459.67)\n",
" t_ht = 5 / 9 * (t_ht + 459.67)\n",
" p_ht = p_ht + p_atm_ht\n",
" p_pg = p_ht * t_pg / t_ht\n",
" p_pg = p_pg - p_atm_pg\n",
" return p_pg\n",
"\n",
"t_pg = np.linspace(60, 80, (80 - 60) / 0.1 + 1)\n",
"t_ht = np.linspace(40, 80, (80 - 40) / 0.1 + 1)\n",
"\n",
"p_pg = []\n",
"for tp in t_pg:\n",
" for th in t_ht:\n",
" p_pg.append(pt_convert(tp, th))\n",
"\n",
"p_pg = np.array(p_pg)\n",
"p_pg = p_pg.reshape(len(t_pg), len(t_ht))\n",
"\n",
"plt.pcolor(t_ht, t_pg, p_pg, cmap='coolwarm', vmin=10, vmax=15)\n",
"plt.xlabel('Halftime ball temperature at measurement ($^\\circ$F)')\n",
"plt.ylabel('Pre-game ball temperature at measurement ($^\\circ$F)')\n",
"cbar = plt.colorbar()\n",
"cbar.set_label('Pre-game ball pressure (psig)', rotation=270, labelpad=20)\n",
"plt.title('Temperature heatmap showing legal/illegal pre-game pressure\\n(for average halftime pressure reading of 11.5 psig)', y=1.05)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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