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Diffstat (limited to 'Engineering_Physics/Chapter1.ipynb')
| -rwxr-xr-x | Engineering_Physics/Chapter1.ipynb | 463 |
1 files changed, 0 insertions, 463 deletions
diff --git a/Engineering_Physics/Chapter1.ipynb b/Engineering_Physics/Chapter1.ipynb deleted file mode 100755 index aec285c1..00000000 --- a/Engineering_Physics/Chapter1.ipynb +++ /dev/null @@ -1,463 +0,0 @@ -{
- "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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