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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"UNIT-2:Application of Sound Waves"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.1,Page no:41"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate reverberation time\n",
"\n",
"#Variable declaration\n",
"v=3000 #volume in metre cube.\n",
"theta=0.2 #theta in owu(open window unit).\n",
"s=1850 #area in metre cube.\n",
"\n",
"#Calculation\n",
"a=theta*s #calculating total absorbtion of surface.\n",
"T=(0.165*v)/a #calculating T using Sabine formula\n",
"\n",
"#Result\n",
"print\"Reverberation time of Room = \",round(T,2) ,\"sec\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Reverberation time of Room = 1.34 sec\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.2,Page no:41"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Calculate average absorbing power\n",
"\n",
"#Variable declaration\n",
"v=120000 #volume in metre cube.\n",
"t=1.5 #time in second.\n",
"s=25000 #area in metre cube.\n",
"\n",
"#Calculation\n",
"a=(0.16*v)/(t*s) #using Sabine formula for calculating a\n",
"\n",
"#Variable declaration\n",
"print\"Average Absorbing Power of Surface = \",a,\"o w u\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Average Absorbing Power of Surface = 0.512 o w u\n"
]
}
],
"prompt_number": 39
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.3,Page no:42"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Reverberation time of cinema hall\n",
"\n",
"#Variable declaration\n",
"v=6000.0 #Volume in metre cube.\n",
"a=20.0 #surface absorbtion in owu(open window unit).\n",
"\n",
"#Calculation\n",
"T=(0.165*v)/(a) #calculating T using Sabine Formula.\n",
"\n",
"#Result\n",
"print\"Reverberation Time = \",T,\"sec\"\n",
"print\"\\nNOTE:Calculation mistake in book\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Reverberation Time = 49.5 sec\n",
"\n",
"NOTE:Calculation mistake in book\n"
]
}
],
"prompt_number": 37
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.4,Page no:42"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Reverberation time with persons\n",
"\n",
"#Variable declaration\n",
"v=3500 #volume in metre cube.\n",
"n1=370-300 #no. of audience on wooden seats.\n",
"n2=300-70 #no. of empty wooden seats.\n",
"\n",
"#Calculation\n",
"a1s1=0.04*60 #absorption due to wooden doors.\n",
"a2s2=0.03*700 #absorption due to plastered walls.\n",
"a3s3=0.06*50 #absorption due to glass work.\n",
"a4s4=4.2*370 #absorption due to audience on spungy and wooden \n",
"#seats.\n",
"a5s5=2*230 #absorption due to empty seats.\n",
"sum=a1s1+a2s2+a3s3+a4s4+a5s5 #total absorption of cinema hall.\n",
"T=(0.165*v)/sum #calculating T using Sabine Formula.\n",
"\n",
"#Result\n",
"print\"Reverberation Time = \",round(T,2),\"sec\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Reverberation Time = 0.28 sec\n"
]
}
],
"prompt_number": 40
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.5,Page no:49"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Frequency of ultrasonics\n",
"\n",
"import math\n",
"\n",
"#Variable declaration\n",
"l=10 #length in centimetres.\n",
"Y=20*10**11 #Young's Modulus in dyne/cm square.\n",
"R=8 #Density in gram/cc\n",
"\n",
"#Calculation\n",
"n=(1.0/(2*l))*math.sqrt(Y/R) #calculating frequency of vibration using \n",
"#young's modulus.\n",
"\n",
"#Result\n",
"print\"Frequency of vibration=\",n,\"Hz\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of vibration= 25000.0 Hz\n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.6,Page no:50"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Fundamental frequency of vibration\n",
"\n",
"import math\n",
"\n",
"#Variable declaration\n",
"t=0.1 #thickness in centimetre.\n",
"Y=8.75*10**11 #Young's Modulus in dyne/cm square.\n",
"R=2.654 #Density in gram/cm square.\n",
"\n",
"#Calculation\n",
"n=(1/(2*t))*math.sqrt(Y/R) #calculating frequency using Young's modulus.\n",
"\n",
"#Result\n",
"print\"Frequency of Vibration=\",round(n),\"Hz\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of Vibration= 2870936.0 Hz\n"
]
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.7,Page no:50"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Speed of sound wave in water\n",
"\n",
"#Variable declaration\n",
"K=2.026*10**9 #Bulk Modulus in N/m square.\n",
"R=10**3 #Density in Kg/m cube.\n",
"\n",
"#Calculation\n",
"V=math.sqrt(K/R) #Calculating speed using Bulk Modulus.\n",
"\n",
"#Result\n",
"print\"Velocity of sound waves in water = \",round(V,2),\"m/sec\" \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Velocity of sound waves in water = 1423.38 m/sec\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example no:2.8,Page no:51"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Speed of ultrasonic wave in air\n",
"\n",
"import math\n",
"\n",
"#Variable declaration\n",
"Y=1.41 #Young's Modulus.\n",
"R=1.293*10**-3 #Density of air in g/centimetre cube.\n",
"P=76*13.6*980 #atmospheric pressure in dyne/cm square.\n",
"\n",
"#Calculation\n",
"V=math.sqrt((Y*P)/R) #calculating speed using young's modulus.\n",
"\n",
"#Result\n",
"print\"Speed of ultrasonic wave in air at n.t.p=\",round(V*10**-2,1),\"m/sec\" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Speed of ultrasonic wave in air at n.t.p= 332.4 m/sec\n"
]
}
],
"prompt_number": 16
}
],
"metadata": {}
}
]
}
|
