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diff --git a/Applied_Physics-I_by_I_A_Shaikh/Chapter4.ipynb b/Applied_Physics-I_by_I_A_Shaikh/Chapter4.ipynb deleted file mode 100755 index ded2d042..00000000 --- a/Applied_Physics-I_by_I_A_Shaikh/Chapter4.ipynb +++ /dev/null @@ -1,1309 +0,0 @@ -{ - "metadata": { - "celltoolbar": "Raw Cell Format", - "name": "", - "signature": "sha256:c8b4bc6a0f384361dda4e7989c0d96facf075884a24ed18090bbb83730c8fbed" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter 4: Acoustics and Ultrasonics" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.11.1,Page number 4-17" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Given data\n", - "d=8900.0 #density\n", - "Y=20.8*10**10 #Young's modulus\n", - "n=40*10**3 #frequency of wave\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "l=(k/(2*n))*math.sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"length =\",round(l,4),\"meter\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "length = 0.0604 meter\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.12.1,Page number 4-20" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Given data\n", - "\n", - "d=2.65*10**3 #density\n", - "Y=8*10**10 #Young's modulus\n", - "n=1*10**6 #frequency of wave\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "t=(k/(2*n))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"thickness =\",round(t,4),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "thickness = 0.0027 meter\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.1,Page number 4-25" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Given Data\n", - "l=20 #length of room\n", - "b=15 #bredth of room\n", - "h=10 #height of room\n", - "V=l*b*h #volume of room\n", - "a=0.106 #absorption coefficient\n", - "\n", - "S=2*(l*b+b*h+h*l) #surface area of hall\n", - "\n", - "T=(0.161*V)/(a*S) #Reverberation time,using Sabine's formula\n", - "\n", - "print\"Reverberation time =\",round(T,4),\"sec\"\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Reverberation time = 3.5051 sec\n" - ] - } - ], - "prompt_number": 20 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.2,Page number 4-26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "m=1j #original sound intensity\n", - "n=1000*1j #increased intensity value\n", - "\n", - "l=10*log10(n/m) #change in intensity level\n", - "\n", - "print\"change in intensity level =\",l,\"dB\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "change in intensity level = (30+0j) dB\n" - ] - } - ], - "prompt_number": 16 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.3,Page number 4-26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "S1=220 #wall area\n", - "a1=0.03 #absorption coefficient for the wall\n", - "S2=120 #floor area\n", - "a2=0.8 #absorption coefficient for the floor\n", - "S3=120 #ceiling area\n", - "a3=0.06 #absorption coefficient for the ceiling\n", - "V=600 #volume of room\n", - "\n", - "S=S1+S2+S3 #total surface area\n", - "\n", - "a=(a1*S1+a2*S2+a3*S3)/S #average sound absorption coefficient\n", - "\n", - "print\"1) average sound absorption coefficient =\",round(a,4)\n", - "\n", - "T=(0.161*V)/(a*S) #Reverberation time,using Sabine's formula\n", - "\n", - "print\"2) Reverberation time =\",round(T,4),\"sec\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) average sound absorption coefficient = 0.2387\n", - "2) Reverberation time = 0.8798 sec\n" - ] - } - ], - "prompt_number": 21 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.4,Page number 4-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#Given data\n", - "\n", - "V=5500 #volume\n", - "T=2.3 #Reverberation time\n", - "S=750 #sound absorption coefficient\n", - "a=(0.161*V)/(S*T) #using Sabine's formula\n", - "\n", - "print\"average absorption coefficient =\",round(a,4)\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average absorption coefficient = 0.5133\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.5,Page number 4-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "l=20 #length of room\n", - "b=12 #bredth of room\n", - "h=12 #height of room\n", - "V=l*b*h #volume of room\n", - "S=2*(l*b+b*h+h*l) #surface area of hall\n", - "T1=2.5 #Reverberation time\n", - "\n", - "a=(0.161*V)/(T1*S) #using Sabine's formula\n", - "\n", - "print\"1) average absorption coefficient =\",round(a,4)\n", - "\n", - "a1=0.5 #absorption coefficient\n", - "T2=2 #Reverberation time\n", - "\n", - "S1=(0.161*V/(a1-a))*(1.0/T2-1.0/T1)\n", - "\n", - "print\"2) carpet area required =\",round(S1,4),\"m^2\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) average absorption coefficient = 0.1486\n", - "2) carpet area required = 131.958 m^2\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.6,Page number 4-28" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "Ac=10*12 #area of carpet covering entire floor\n", - "ac=0.06 #absorption coefficient of carpet\n", - "\n", - "aS1=Ac*ac #absorption due to carpet\n", - "\n", - "Af=10*12 #area of false celling\n", - "af=0.03 #absorption coefficient of celling\n", - "\n", - "aS2=Af*af #absorption due to celling\n", - "\n", - "As=100*1 #area of cushioned sets\n", - "a_cush=1 #absorption coefficient of cushion sets\n", - "\n", - "aS3=As*a_cush #absorption due to cusion sets\n", - "\n", - "Aw=346*1 #area of walls covered with absorbent\n", - "aw=0.2 #absorption coefficient of walls\n", - "\n", - "aS4=Aw*aw #absorption due to walls\n", - "\n", - "Ad=346*1 #area of wooden door\n", - "ad=0.2 #absorption coefficient of wooden door\n", - "\n", - "aS5=Ad*ad #absorption due to wooden door\n", - "\n", - "aS=aS1+aS2+aS3+aS4 #total absorption\n", - "\n", - "ap=0.46 #absorption coefficient of audience/person\n", - "l=12 #assuming length of wall\n", - "b=10 #assuming breadth of wall\n", - "h=8 #assuming height of wall\n", - "\n", - "V=l*b*h #volume of hall\n", - "\n", - "#case 1 :(no one inside/emptey hall)\n", - "\n", - "T1=(0.161*V)/aS #reverberation time\n", - "\n", - "print\" 1)reverberation time of empty hall =\",round(T1,4),\"sec\"\n", - "\n", - "#case 2 :(50 person inside hall)\n", - "\n", - "T2=(0.161*V)/(aS+50*0.46) #reverberation time\n", - "\n", - "print\" 2)reverberation time of hall with 50 person =\",round(T2,4),\"sec\"\n", - "\n", - "#case 2 :(100 person inside hall/full capacity of hall)\n", - "\n", - "T3=(0.161*V)/(aS+100*0.46) #reverberation time\n", - "\n", - "print\" 3)reverberation time of hall with 100 person =\",round(T3,4),\"sec\"\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " 1)reverberation time of empty hall = 0.8587 sec\n", - " 2)reverberation time of hall with 50 person = 0.7614 sec\n", - " 3)reverberation time of hall with 100 person = 0.6839 sec\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.7,Page number 4-30" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "l=20 #length of room\n", - "b=15 #bredth of room\n", - "h=5 #height of room\n", - "\n", - "V=l*b*h #volume of room\n", - "S=2*(l*b+b*h+h*l) #surface area of hall\n", - "\n", - "T=3.5 #Reverberation time\n", - "\n", - "a=(0.161*V)/(T*S) #using Sabine's formula\n", - "\n", - "print\"1) average absorption coefficient =\",round(a,4)\n", - "\n", - "avg=a*S #average total absorption\n", - "\n", - "print\"2) average total absorption =\",round(avg,4),\"m^2.s\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) average absorption coefficient = 0.0726\n", - "2) average total absorption = 69.0 m^2.s\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.8,Page number 4-30" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "l=20 #length of room\n", - "b=15 #bredth of room\n", - "h=10 #height of room\n", - "\n", - "V=l*b*h #volume of room\n", - "\n", - "a=0.1 #absorption coefficient\n", - "\n", - "S=2*(l*b+b*h+h*l) #surface area of hall\n", - "\n", - "T1=(0.161*V)/(a*S) #Reverberation time,using Sabine's formula\n", - "\n", - "print\"1) Reverberation time =\",round(T1,4),\"sec\"\n", - "\n", - "a2=0.66 #absorption coefficient of curtain cloth\n", - "\n", - "S2=100 #surface area of a curtain cloth\n", - "\n", - "T2=(0.161*V)/(a*S+a2*S2*2) #Reverberation time,using Sabine's formula\n", - "\n", - "T=T1-T2 #change in Reverberation time\n", - "\n", - "print\"2) change in Reverberation time =\",round(T,4),\"sec\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) Reverberation time = 3.7154 sec\n", - "2) change in Reverberation time = 1.8719 sec\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.9,Page number 4-30" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "S1=220 #wall area\n", - "a1=0.03 #absorption coefficient for the wall\n", - "S2=120 #floor area\n", - "a2=0.8 #absorption coefficient for the floor\n", - "S3=120 #ceiling area\n", - "a3=0.06 #absorption coefficient for the ceiling\n", - "V=600 #volume of room\n", - "\n", - "S=S1+S2+S3 #total surface area\n", - "a=(a1*S1+a2*S2+a3*S3)/S #average sound absorption coefficient\n", - "\n", - "print\"1) average sound absorption coefficient =\",round(a,4)\n", - "\n", - "T=(0.161*V)/(a*S) #Reverberation time,using Sabine's formula\n", - "\n", - "print\"2) Reverberation time =\",round(T,4),\"sec\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) average sound absorption coefficient = 0.2387\n", - "2) Reverberation time = 0.8798 sec\n" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.10,Page number 4-31" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "f=0.07*10**6 #frequency\n", - "t=0.65 #time\n", - "v=1700 #velocity of sound\n", - "\n", - "d=v*t/2 #depth of seabed\n", - "\n", - "print\"1) depth of seabed =\",round(d,4),\"meter\"\n", - "\n", - "lamda=v/f #wavelength\n", - "\n", - "print\"2) wavelength =\",round(lamda,4),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) depth of seabed = 552.5 meter\n", - "2) wavelength = 0.0243 meter\n" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.11,Page number 4-31" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "t=1*10**-3 #thicknesss of crystal\n", - "d=2.65*10**3 #density\n", - "Y=8*10**10 #Young's modulus\n", - "k=1 #consider 1st harmonic\n", - "\n", - "n=(k/(2*t))*sqrt(Y/d) #formula of natural frequency\n", - "\n", - "print\" natural frequency =\",\"{0:.3e}\".format(n),\"Hz\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " natural frequency = 2.747e+06 Hz\n" - ] - } - ], - "prompt_number": 19 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.12,Page number 4-32" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "d=2650 #density\n", - "Y=8*10**10 #Young's modulus\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "#case 1\n", - "\n", - "n1=3.8*10**6 #frequency of wave\n", - "\n", - "t1=(k/(2*n1))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"1) thickness =\",\"{0:.3e}\".format(t1),\"meter\"\n", - "\n", - "#case 2\n", - "\n", - "n2=300*10**3 #frequency of wave\n", - "\n", - "t2=(k/(2*n2))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"2) thickness =\",\"{0:.3e}\".format(t2),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) thickness = 7.230e-04 meter\n", - "2) thickness = 9.157e-03 meter\n" - ] - } - ], - "prompt_number": 22 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.13,Page number 4-32" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "d=2650 #density\n", - "Y=8*10**10 #Young's modulus\n", - "n=2*10**6 #frequency of wave\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "t=(k/(2*n))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"thickness =\",\"{0:.3e}\".format(t),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "thickness = 1.374e-03 meter\n" - ] - } - ], - "prompt_number": 25 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.14,Page number 4-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "f=50*10**3 #frequency\n", - "v1=348 #velocity of ultrasound in atmosphere\n", - "v2=1392 #velocity of ultrasound in sea water\n", - "t=2.0 #time difference\n", - "\n", - "#distance is constant hence v1*t1=v2*t2\n", - "\n", - "m=v2/v1 #assuming constant as m\n", - "\n", - "#(t1-t2=d) and (t1=m*t2) therefore\n", - "\n", - "t2=t/(m-1)\n", - "\n", - "d=v2*t2 #distance between two ship\n", - "\n", - "print\"distance between two ships =\",round(d,4),\"meter\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "distance between two ships = 928.0 meter\n" - ] - } - ], - "prompt_number": 27 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.15,Page number 4-34" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "#for case1\n", - "t1=2*10**-3 #thicknesss of plate\n", - "d=2.65*10**3 #density\n", - "Y=8*10**10 #Young's modulus\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "n1=(k/(2*t1))*sqrt(Y/d) #formula of natural frequency\n", - "\n", - "print\"1)natural frequency =\",\"{0:.3e}\".format(n1),\"Hz\"\n", - "\n", - "#for case2\n", - "\n", - "n2=3*10**6 #frequency\n", - "\n", - "t2=(k/(2*n2))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "t=t1-t2 #change in thickness\n", - "\n", - "print\"2)change in thickness =\",\"{0:.3e}\".format(t),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1)natural frequency = 1.374e+06 Hz\n", - "2)change in thickness = 1.084e-03 meter\n" - ] - } - ], - "prompt_number": 29 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.16,Page number 4-34" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "S=10 #salinity\n", - "t=2 #time\n", - "T=20 #temperature\n", - "\n", - "v=1510+1.14*S+4.21*T-0.037*T**2 #velocity of ultrasound in sea\n", - "\n", - "d=v*t/2 #depth of sea bed\n", - "\n", - "print\"depth of sea bed =\",round(d,4),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "depth of sea bed = 1590.8 meter\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.17,Page number 4-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "S=29 #salinity\n", - "t=2 #time\n", - "l=0.01 #wavelength\n", - "T=30 #temperature\n", - "\n", - "v=1510+1.14*S+4.21*T-0.037*T**2 #velocity of ultrasound in sea\n", - "\n", - "d=v*t/2 #depth of sea bed\n", - "\n", - "print\"1)depth of sea bed =\",round(d,4),\"meter\"\n", - "\n", - "f=v/l #frequency\n", - "\n", - "print\"2) frequency =\",\"{0:.3e}\".format(f),\"Hz\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1)depth of sea bed = 1636.06 meter\n", - "2) frequency = 1.636e+05 Hz\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.18,Page number 4-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "v1=5.9*10**3 #velocity of UW in mild steel\n", - "v2=4.3*10**3 #velocity of UW in brass\n", - "t2=15*10**-3 #thickness of brass plate\n", - "\n", - "t1=v2*t2/v1 #since ve;ocity is inversly proportional to thickness\n", - "\n", - "print\"real thickness =\",\"{0:.3e}\".format(t1),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "real thickness = 1.093e-02 meter\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.19,Page number 4-36" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "t1=4*10**-3 #thickness of 1st crystal\n", - "n1=400*10**3 #frequency of 1st crystal\n", - "n2=500*10**3 #frequency of 2nd crystal\n", - "\n", - "t2=n1*t1/n2 #since frquency is inversly proportional to thickness\n", - "\n", - "print\"thickness of 2nd crystal =\",\"{0:.3e}\".format(t2),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "thickness of 2nd crystal = 3.200e-03 meter\n" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.20,Page number 4-36" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "t2=30*10**-6 #pulse arrival time of defective steel bar\n", - "t1=80*10**-6 #pulse arrival time of non defective steel bar\n", - "d=40*10**-2 #bar thickness\n", - "\n", - "x=(t2/t1)*d\n", - "\n", - "print\"distance at which defect has occurred =\",round(x,4),\"meter\"\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "distance at which defect has occurred = 0.15 meter\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.21,Page number 4-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "d=18*10**-3 #thickness\n", - "v=5.9*10**3 #velocity\n", - "\n", - "t=(2*d)/v #echo time\n", - "\n", - "print\"echo time =\",\"{0:.3e}\".format(t),\"sec\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "echo time = 6.102e-06 sec\n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.22,Page number 4-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "t=1*10**-3 #thickness of quartz crystal\n", - "\n", - "#given t=l/2\n", - "\n", - "l=t*2 #wavelength\n", - "Y=7.9*10**10 #young's module of crystal\n", - "p=2650 #density of crystal\n", - "\n", - "v=sqrt(Y/p) #velocity of vibration\n", - "\n", - "n=v/l #frequency of vibration\n", - "\n", - "print\"frquency of vibration =\",\"{0:.3e}\".format(n),\"Hz\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "frquency of vibration = 2.730e+06 Hz\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.23,Page number 4-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math \n", - "\n", - "#given data\n", - "\n", - "d=7.23*10**3 #density\n", - "Y=11.6*10**10 #Young's modulus\n", - "n=20*10**3 #frequency of wave\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "l=(k/(2*n))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "print\"length =\",\"{0:.3e}\".format(l),\"meter\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "length = 1.001e-01 meter\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.24,Page number 4-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "#for case1\n", - "t1=2*10**-3 #thicknesss of plate\n", - "d=2.65*10**3 #density\n", - "Y=8*10**10 #Young's modulus\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "n1=(k/(2*t1))*sqrt(Y/d) #formula of natural frequency\n", - "\n", - "print\"1)natural frequency =\",\"{0:.3e}\".format(n1),\"Hz\"\n", - "\n", - "#for case2\n", - "\n", - "n2=3*10**6 #frequency\n", - "\n", - "t2=(k/(2*n2))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "t=t1-t2 #change in thickness\n", - "\n", - "print\"2)change in thickness =\",\"{0:.3e}\".format(t),\"meter\"\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1)natural frequency = 1.374e+06 Hz\n", - "2)change in thickness = 1.084e-03 meter\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.25,Page number 4-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "l=20 #length of room\n", - "b=15 #bredth of room\n", - "h=10 #height of room\n", - "\n", - "V=l*b*h #volume of room\n", - "S=2*(l*b+b*h+h*l) #surface area of hall\n", - "\n", - "T=3 #Reverberation time\n", - "\n", - "a=(0.161*V)/(T*S) #using Sabine's formula\n", - "\n", - "print\"1) average absorption coefficient =\",round(a,4)\n", - "\n", - "m=a*S #total absorption\n", - "\n", - "print\"2) total absorption of surface =\",round(m,4),\"m**2/sec\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1) average absorption coefficient = 0.1238\n", - "2) total absorption of surface = 161.0 m**2/sec\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.26,Page number 4-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "#for case1\n", - "t1=1.8*10**-3 #thicknesss of plate\n", - "d=2.65*10**3 #density\n", - "Y=8*10**10 #Young's modulus\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "n1=(k/(2*t1))*sqrt(Y/d) #formula of natural frequency\n", - "\n", - "print\"1)natural frequency =\",\"{0:.3e}\".format(n1),\"Hz\"\n", - "\n", - "#for case2\n", - "\n", - "n2=2*10**6 #frequency\n", - "\n", - "t2=(k/(2*n2))*sqrt(Y/d) #arranging formula of natural frequency\n", - "\n", - "t=t1-t2 #change in thickness\n", - "\n", - "print\"2)change in thickness =\",\"{0:.3e}\".format(t),\"meter\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "1)natural frequency = 1.526e+06 Hz\n", - "2)change in thickness = 4.264e-04 meter\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 4.15.27,Page number 4-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "import math\n", - "\n", - "#given data\n", - "\n", - "n=0.4999*10**6 #frequency\n", - "t=5.5*10**-3 #thicknesss of plate\n", - "d=2.65*10**3 #density\n", - "k=1.0 #consider 1st harmonic\n", - "\n", - "Y=4*(t**2)*(n**2)*d/k #arranging formula of natural frequency\n", - "\n", - "print\"Youngs modulus =\",\"{0:.3e}\".format(Y),\"N/m**2\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Youngs modulus = 8.013e+10 N/m**2\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] - } - ], - "metadata": {} - } - ] -}
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