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"metadata": {},
"source": [
"17: Ultrasonics"
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"metadata": {},
"source": [
"Example number 17.1, Page number 352"
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"\n",
"\n",
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"f = 3; #Fundamental vibrational frequency of quartz crystal(MHz)\n",
"Y = 7.9*10**10; #Young's modulus of quartz(N/m**2)\n",
"rho = 2650; #Density of quartz(kg/m**3)\n",
"\n",
"#Calculation\n",
"f = f*10**6; #Fundamental vibrational frequency of quartz crystal(Hz)\n",
"l = 1/(2*f)*math.sqrt(Y/rho); #Thickness of vibrating quartz at resonance(m)\n",
"l = l*10**3; #Thickness of vibrating quartz at resonance(mm)\n",
"l = math.ceil(l*100)/100; #rounding off the value of l to 2 decimals\n",
"\n",
"#Result\n",
"print \"The thickness of vibrating quartz at resonance is\",l, \"mm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The thickness of vibrating quartz at resonance is 0.91 mm\n"
]
}
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