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diff --git a/Engineering_Physics_by_P._V._Naik/Chapter1.ipynb b/Engineering_Physics_by_P._V._Naik/Chapter1.ipynb new file mode 100755 index 00000000..aec285c1 --- /dev/null +++ b/Engineering_Physics_by_P._V._Naik/Chapter1.ipynb @@ -0,0 +1,463 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:305dcc155810a92329b40a851ec0d721020f53211b825d9c1f3b0e3bb9312285"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "1: Acoustics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.1, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "p=50; #sound waves with output power(W)\n",
+ "r=4; #Distance(m)\n",
+ "\n",
+ "#Calculation\n",
+ "I=p/(4*math.pi*r**2) #Intensity(W/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"Intensity of sound at a distance of 4m from the source is\",round(I,2),\"W/m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Intensity of sound at a distance of 4m from the source is 0.25 W/m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.2, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Io=10**-12; #Initial intensity of sound(W/m**2)\n",
+ "d=50; #number of decibels given by 10log(Io/I1)\n",
+ "P=70; #Output power(W)\n",
+ "\n",
+ "#Calculation\n",
+ "I1=(10**5)*Io; #Intensity(W/m**2)\n",
+ "r=math.sqrt(P/(4*math.pi*I1)); #distance(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The distance at which sound reduces to a level of 50dB is\",round(r/10**3,2),\"*10**3 m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The distance at which sound reduces to a level of 50dB is 7.46 *10**3 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.3, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "v=8000; #volume of the hall(m**3)\n",
+ "T=1.5; #Reverberation time(sec)\n",
+ "\n",
+ "#Calculation\n",
+ "A=(0.161*v)/T; #Total absorption time(m**2 sabine)\n",
+ "\n",
+ "#Result\n",
+ "print \"The total reverberation in the hall is\",round(A,2),\"m**2 sabine\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The total reverberation in the hall is 858.67 m**2 sabine\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.4, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "l=25; #length of the hall(m)\n",
+ "b=20; #breadth of the hall(m)\n",
+ "h=10; #height of the hall(m)\n",
+ "T=4; #Reverberation time(s)\n",
+ "\n",
+ "#Calculation\n",
+ "V=l*b*h; #Volume of the hall(m**3)\n",
+ "A=(0.161*V)/T; #Total absorption time(m**2 sabine)\n",
+ "a=A/(2*((l*b)+(b*h)+(l*h))); #a is absorption co-efficient\n",
+ "\n",
+ "#Result\n",
+ "print \"The average absorption co-efficients of surfaces is\",round(a,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The average absorption co-efficients of surfaces is 0.106\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.5, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Y=77*(10**10); #Youngs modulus for quartz(dyne/cm**2)\n",
+ "rho=2.6; #density of quartz(g/cm**3)\n",
+ "t=0.4; #thickness(cm)\n",
+ "\n",
+ "#Calculation\n",
+ "f=((1/(2*t))*math.sqrt(Y/rho))*10**-3; #frequency(kHz)\n",
+ "\n",
+ "#Result\n",
+ "print \"The frequency of ultrasonic waves produced is\",int(f),\"kHz\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The frequency of ultrasonic waves produced is 680 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.6, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Y=81*10**10; #Young's modulus for barium titanate(dynes/cm**2)\n",
+ "rho=5.51; #density of barium titanate(g/cm**3)\n",
+ "f=900; #frequency of ultrasonic waves(kHZ)\n",
+ "\n",
+ "#Calculation\n",
+ "t=((1/(2*f))*math.sqrt(Y/rho))*10**-2; #thickness of crystal(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The thickness of the crystal to produce ultrasonic waves is\",round(t,2),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The thickness of the crystal to produce ultrasonic waves is 2.13 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.7, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "r=3; #distance(m)\n",
+ "I=0.86; #Intensity of sound source(W/m**2)\n",
+ "\n",
+ "#Calculation\n",
+ "P=4*math.pi*r**2*I; #Power of the sound source(W)\n",
+ "\n",
+ "#Result\n",
+ "print \"The output power of the sound source is\",round(P,2),\"W\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The output power of the sound source is 97.26 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.8, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=60; #Number of decibels given by 10*log(I/I0)\n",
+ "I0=10**-12; #Initial intensity of sound(W/m**2)\n",
+ "I=10**-6; #since 10log(I/I0)=60\n",
+ "r=200; #distance(m)\n",
+ "\n",
+ "#Calculation\n",
+ "P=4*math.pi*r**2*I; #output power of the sound source(W)\n",
+ "\n",
+ "#Result\n",
+ "print \"The output power of the sound source is\",round(P,1),\"W\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The output power of the sound source is 0.5 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.9, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=9250; #volume of the hall(m**3)\n",
+ "A=900; #Total absorption(m**2 sabine)\n",
+ "\n",
+ "#Calculation\n",
+ "T=(0.161*V)/A; #Reverberation time(s)\n",
+ "\n",
+ "#Result\n",
+ "print \"The reverberation time in a hall is\",round(T,2),\"s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The reverberation time in a hall is 1.65 s\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.10, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "f1=400; #Initial frequency(kHZ)\n",
+ "f2=500; #New frequency(kHZ)\n",
+ "t1=3; #initial thickness of the crystal(mm)\n",
+ "\n",
+ "#Calculation\n",
+ "t2=(f1*t1)/f2; #required thickness(mm)\n",
+ "\n",
+ "#Result\n",
+ "print \"The required thickness of the crystal is\",t2,\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The required thickness of the crystal is 2.4 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 1.11, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "t1=2; #Initial thickness(mm)\n",
+ "t2=2.8; #New thickness(mm)\n",
+ "\n",
+ "#Calculation\n",
+ "F=t1/t2; #ratio of new to old frequencies\n",
+ "\n",
+ "#Result\n",
+ "print \"The ratio of new to old frequencies is\",round(F,3),"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The ratio of new to old frequencies is 0.714\n"
+ ]
+ }
+ ],
+ "prompt_number": 23
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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