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diff --git a/Engineering_Physics_By_G_Vijayakumari/Chapter1.ipynb b/Engineering_Physics_By_G_Vijayakumari/Chapter1.ipynb new file mode 100755 index 00000000..aea79a8c --- /dev/null +++ b/Engineering_Physics_By_G_Vijayakumari/Chapter1.ipynb @@ -0,0 +1,684 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#1: Acoustics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.1, Page number 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The sound intensity level is imcreased by 13.01 dB when the intensity is doubled\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "i=20; #the intensity of a source is increased 20 times\n",
+ "\n",
+ "#Calculation\n",
+ "I=(10*(math.log10(i))); #intensity of sound(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The sound intensity level is imcreased by\",round(I,2),\"dB when the intensity is doubled\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.2, Page number 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The sound intensity level is increased by 6 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "i=4; #the intensity of a source is increased 4 times\n",
+ "\n",
+ "#Calculation\n",
+ "I=(10*(math.log10(i))); #intensity of sound(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The sound intensity level is increased by\",int(I),\"dB\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.3, Page number 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The intensity level of a plane just leaving the runway is 150.0 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "I=1000; #sound intensity of plane leaving the runway(Wm**-2)\n",
+ "Io=10**-12; #threshold intensity of sound(Wm**-2)\n",
+ "\n",
+ "#Calculation\n",
+ "IL=(10*math.log10(I/Io)); #The intensity level of a plane just leaving the runway(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The intensity level of a plane just leaving the runway is\",IL,\"dB\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.4, Page number 2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The intensity level is 60.0 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "I=10**-6; #intensity of sound during heavy traffic(Wm**-2)\n",
+ "Io=10**-12; #threshold intensity of sound(Wm**-2)\n",
+ "\n",
+ "#Calculation\n",
+ "IL=(10*math.log10(I/Io)); #The intensity level(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The intensity level is\",IL,\"dB\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.5, Page number 3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The intensity level is -48.9994 dB\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Q=3.56; #rate of energy radiates(W)\n",
+ "r=15; #distance of intensity level(m)\n",
+ "Io=100; #reference intensity(Wm^-2)\n",
+ "\n",
+ "#Calculation\n",
+ "A=4*math.pi*r**2; #Area(m^2)\n",
+ "I=(Q/A); #sound intensity(Wm^-2)\n",
+ "IL=(10*math.log10(I/Io)); #The intensity level(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The intensity level is\",round(IL,4),\"dB\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.6, Page number 3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The resultant sound level is 80.41 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "Il1=70; #sound(dB)\n",
+ "Il2=80; #sound(dB)\n",
+ "\n",
+ "#Calculation\n",
+ "I1=10**(Il1/10); #ratio of intensity\n",
+ "I2=10**(Il2/10); #ratio of intensity\n",
+ "I=I1+I2; #intensity of sound(dB)\n",
+ "Il=10*math.log10(I); #resultant intensity(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The resultant sound level is\",round(Il,2),\"dB\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.7, Page number 4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The noise level at the point when 4 such drills are working at the same distance away is 101.02 dB\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "i=4; #the intensity of a source\n",
+ "I1=95; #The noise level of sound from a drill(dB)\n",
+ "\n",
+ "#Calculation\n",
+ "I2=(10*(math.log10(i))); #intensity of source(dB)\n",
+ "IL=I1+I2; #The noise level at this point(dB)\n",
+ "\n",
+ "#Result\n",
+ "print \"The noise level at the point when 4 such drills are working at the same distance away is\",round(IL,2),\"dB\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.8, Page number 4"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The flow of energy across 1m^2 per second is 6.638 *10**4 Wm**-2\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "f=426; #frequency of sound(Hz)\n",
+ "a=0.65*10**-2; #amplitude of sound wave(m)\n",
+ "A=1; #area(m^2)\n",
+ "v=340; #velocity of sound in air(ms^-1)\n",
+ "d=1.29; #density of air(Kgm^-3)\n",
+ "\n",
+ "#Calculation\n",
+ "I=(2*math.pi**2*f**2*a**2*d*v); #The flow of energy across 1m^2 per second(Wm^-2*10^4)\n",
+ "\n",
+ "#Result\n",
+ "print \"The flow of energy across 1m^2 per second is\",round(I/10**4,3),\"*10**4 Wm**-2\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.9, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The reverberation time of the hall is 2.087 sec\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=1000; #volume of hall(m^3)\n",
+ "S=400; #sound absorbing surface of area(m^2)\n",
+ "a=0.2; #average absorption coefficient(sabine)\n",
+ "\n",
+ "#Calculation\n",
+ "T=(0.167*V)/(a*S); #The reverberation time of the hall(sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"The reverberation time of the hall is\",round(T,3),\"sec\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.10, Page number 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The average absorbtion coefficient is 0.2374 O.W.U\n",
+ "Total sound absorbtion of the room is 128.2 O.W.U m^2\n",
+ "answer varies due to rounding off errors\n",
+ "The reverberation time is 1.954 sec\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=1500; #volume of room(m^3)\n",
+ "a1=0.03; #average sound coefficient for wall(sabine)\n",
+ "a2=0.06; #average sound coefficient for the ceiling(sabine)\n",
+ "a3=0.8; #average sound coefficient for the floor(sabine)\n",
+ "S1=260; #The wall area of the room(m^2)\n",
+ "S2=140; #The floor area of the room(m^2)\n",
+ "S3=140; #The ceiling area of the room(m^2)\n",
+ "\n",
+ "#Calculation\n",
+ "a=((a1*S1)+(a2*S2)+(a3*S3))/(S1+S2+S3); #The average absorbtion coefficient(O.W.U)\n",
+ "TS=S1+S2+S3; #total area of the room(m^2)\n",
+ "x=(a*TS); #Total sound absorbtion of the room(O.W.U m^2)\n",
+ "T=((0.167*V)/x); #The reverberation time(sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"The average absorbtion coefficient is\",round(a,4),\"O.W.U\"\n",
+ "print \"Total sound absorbtion of the room is\",x,\"O.W.U m^2\"\n",
+ "print \"answer varies due to rounding off errors\"\n",
+ "print \"The reverberation time is\",round(T,3),\"sec\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.11, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The area of interior surfaces is 3340.0 m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=12000; #volume of auditorium(m^3)\n",
+ "T=1.5; #The reverberation time of the auditorium(sec)\n",
+ "a=0.4; #average absorption coefficient(sabine)\n",
+ "\n",
+ "#Calculation\n",
+ "S=(0.167*V)/(a*T); #area of interior surfaces(m^2)\n",
+ "\n",
+ "#Result\n",
+ "print \"The area of interior surfaces is\",S,\"m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.12, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The total absorbtion in the hall is 835.0 sabine m^2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=7500; #volume of cinema hall(m^3)\n",
+ "T=1.5; #The reverberation time of the cinema hall(sec)\n",
+ "\n",
+ "#Calculation\n",
+ "TaS=(0.167*V)/(T); #The total absorbtion in the hall(sabine m^2)\n",
+ "\n",
+ "#Result\n",
+ "print \"The total absorbtion in the hall is\",TaS,\"sabine m^2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.13, Page number 13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The new reverberation time after placing the cushioned chairs is 1.3115 sec\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=12500; #volume of hall(m^3)\n",
+ "T1=1.5; #The reverberation time of the hall(sec)\n",
+ "a2S2=200; #The number of cushioned chairs are additionally placed in the hall(sabine-m^2)\n",
+ "\n",
+ "#Calculation\n",
+ "Ta1S1=(0.167*V)/T1; #The reverberation time before placed cushioned chairs(sabine m^2)\n",
+ "T2=(0.167*V)/(Ta1S1+a2S2); #The new reverberation time after placing the cushioned chairs(sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"The new reverberation time after placing the cushioned chairs is\",round(T2,4),\"sec\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.14, Page number 14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The reverberation time for the hall is 1.2794 sec\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=475; #volume of hall(m^3)\n",
+ "a1=0.025; #absorbtion coefficient for wall(O.W.U)\n",
+ "a2=0.02; #absorbtion coefficient for the ceiling(O.W.U)\n",
+ "a3=0.55; #absorbtion coefficient for the floor(O.W.U)\n",
+ "S1=200; #The wall area of the room(m^2)\n",
+ "S2=100; #The floor area of the room(m^2)\n",
+ "S3=100; #The ceiling area of the room(m^2)\n",
+ "\n",
+ "#Calculation\n",
+ "TaS=((a1*S1)+(a2*S2)+(a3*S3)); #The average absorbtion coefficient(O.W.U-m^2)\n",
+ "T=((0.167*V)/TaS); #The reverberation time(sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"The reverberation time for the hall is\",round(T,4),\"sec\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.15, Page number 14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The reverberation time in the hall without audience is 3.9879 sec\n",
+ "The reverberation time in the hall with audience is 1.99396 sec\n",
+ "Thus,the reverberation reduces to half of its initial value when the audience fill the hall\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=2265; #volume of hall(m^3)\n",
+ "Ta1S1=94.85; #The total absorbtion coefficient(m^2)\n",
+ "\n",
+ "#Calculation\n",
+ "T1=((0.167*V)/Ta1S1); #The reverberation time in the hall without audience(sec)\n",
+ "Ta2S2=2*Ta1S1; #The new absorbtion coefficient(m^2)\n",
+ "T2=((0.167*V)/Ta2S2); #The reverberation time in the hall with audience(sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"The reverberation time in the hall without audience is\",round(T1,4),\"sec\"\n",
+ "print \"The reverberation time in the hall with audience is\",round(T2,5),\"sec\"\n",
+ "print \"Thus,the reverberation reduces to half of its initial value when the audience fill the hall\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 1.16, Page number 14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The average absorbing power of the surface is 0.48789 sabine\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "V=120000; #Volume of the hall(m^3)\n",
+ "T=1.55; #The reverberation time(sec)\n",
+ "S=26500; #The total absorbing surface(m^2)\n",
+ "\n",
+ "#Calculation\n",
+ "TaS=(0.167*V)/T; #The average absorbtion coefficient(sabine-m^2)\n",
+ "a=(TaS/S); #The average absorbing power of the surface(sabine)\n",
+ "\n",
+ "#Result\n",
+ "print \"The average absorbing power of the surface is\",round(a,5),\"sabine\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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