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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#2: Ultrasonics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.1, Page number 30"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The frequency of vibration is 2.7451 *10**6 Hz\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"E=80*10**9; #Young's modulus of material of piezo electric crystal(Pa)\n",
"d=2654; #Density of material of piezo electric crystal(Kg/m^3)\n",
"t=0.1*10**-2; #Thickness of piezo electric crystal(m)\n",
"p=1; #for fundamental first overtone\n",
"\n",
"#Calculation\n",
"f=((p/(2*t))*(math.sqrt(E/d))); #Frequency of vibration of first overtone(Hz)\n",
"\n",
"#Result\n",
"print \"The frequency of vibration is\",round(f/10**6,4),\"*10**6 Hz\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.2, Page number 30"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Frequency in the first mode of vibration is 5.5 *10**4 Hz\n",
"Frequency in the second mode of vibration is 110.0 *10**3 Hz\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"v=5.5*10**3; #Velocity of longitudanal waves in Quartz Crystal(m/s)\n",
"t=0.05; #Thickness of Quartz Crystal(m)\n",
"\n",
"#Calculation\n",
"w=2*t; #wavelength(m)\n",
"v1=(v/w); #Frequency in the first mode of vibration(Hz)\n",
"v2=(2*v1); #Frequency in the second mode of vibration(Hz)\n",
"\n",
"#Result\n",
"print \"Frequency in the first mode of vibration is\",v1/10**4,\"*10**4 Hz\"\n",
"print \"Frequency in the second mode of vibration is\",v2/10**3,\"*10**3 Hz\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.3, Page number 31"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The depth of sea is 495.0 m\n",
"The wavelength of ultrasonic pulse is 0.02 m\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"f=0.09*10**6; #Frequency of Ultrasonic source(Hz)\n",
"t=0.55; #time(sec)\n",
"v=1800; #velocity of sound in water(m/s)\n",
"\n",
"#Calculation\n",
"D=(v*t)/2; #Depth of sea(m)\n",
"W=(v/f); #Wavelength of ultrasonic pulse(m)\n",
"\n",
"#Result\n",
"print \"The depth of sea is\",D,\"m\"\n",
"print \"The wavelength of ultrasonic pulse is\",W,\"m\""
]
}
],
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"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
