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{
"metadata": {
"name": "",
"signature": "sha256:7d02c41b7edfa1d9c3e7a01084e54b2d37ea95fa7e4f6ac43f62128207e0a35d"
},
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter5:ULTRASONIC"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Eg1:pg-177"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"v=5760 #velocity of propagation of ultrasonic sound wave along X-direction in m/s\n",
"t=1.0*10**-3 #thickness of a piezo-electric quartz plate in meter\n",
"lamda=2*t #wavelength in meter(since t=lamda/2 corresponding to fundamental frequency)\n",
"V=v/lamda #fundamental frequency of the crystal\n",
"print\"fundamental frequency of the crystal=\",V/10**6,\"MHz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"fundamental frequency of the crystal= 2.88 MHz\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Eg2:pg-177"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Y=7.9*10**10 #Young's modulus in newton/m**2\n",
"p=2650 #density for Quartz in Kg/m**3\n",
"t=0.005 #thickness of a Quartz crystal in meter\n",
"v=sqrt(Y/p) #velocity for longitudinal vibrations in m/sec\n",
"lamda=2*t #wavelength in meter(since t=lamda/2 corresponding to fundamental frequency)\n",
"V=v/lamda #fundamental frequency of the crystal\n",
"print\"fundamental frequency of the crystal=\",int(round(V/10**3)),\"KHz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"fundamental frequency of the crystal= 546 KHz\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Eg3:pg-177"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f=200.*10**3 #frequency of ultrasonic sound in Hz\n",
"S_a=340 #speed of sound in air in m/s\n",
"S_w=1486 #speed of sound in water in m/s\n",
"lamda_r=S_a/f#wavelength of reflected sound in metre\n",
"print\"Wavelength of reflected sound=\",\"{:.2e}\".format(lamda_r),\"m\"\n",
"lamda_t=S_w/f#wavelength of transmitted sound in metre\n",
"print\"Wavelength of transmitted sound=\",\"{:.2e}\".format(lamda_t),\"m\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Wavelength of reflected sound= 1.70e-03 m\n",
"Wavelength of transmitted sound= 7.43e-03 m\n"
]
}
],
"prompt_number": 3
}
],
"metadata": {}
}
]
}
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