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-{
- "metadata": {
- "name": "",
- "signature": "sha256:3bec68600cdf231538bf44a09963d76f89f72c71634091075e5c4136c75bb4a6"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "18: Acoustics of Buildings"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.1, Page number 361"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "r = 200; #Distance of the point of reduction from the source(m)\n",
- "I_0 = 10**-12; #Final intensity of sound(W/m**2)\n",
- "I_f = 60; #Intensity gain of sound at the point of reduction(dB)\n",
- "\n",
- "#Calculation\n",
- "#As A_I = 10*log10(I/I_0), solving for I\n",
- "I = I_0*10**(I_f/10); #Initial Intensity of sound(W/m**2)\n",
- "P = 4*math.pi*r**2*I; #Output power of the sound source(W)\n",
- "P = math.ceil(P*100)/100; #rounding off the value of P to 2 decimals\n",
- "\n",
- "#Result\n",
- "print \"The output power of the sound source is\",P, \"W\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The output power of the sound source is 0.51 W\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.2, Page number 361"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "import numpy as np\n",
- "\n",
- "#Variable declaration\n",
- "I1 = 1; #For simplicity assume first intensity level to be unity(W/m**2)\n",
- "\n",
- "#Calculation\n",
- "I2 = 2*I1; #Intensity level after doubling(W/m**2)\n",
- "dA_I = 10*np.log10(I2/I1); #Difference in gain level(dB)\n",
- "\n",
- "#Result\n",
- "print \"The sound intensity level is increased by\",int(dA_I), \"dB\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sound intensity level is increased by 3 dB\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.3, Page number 361"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#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; #Reverbration time of the hall(s)\n",
- "\n",
- "#Calculation\n",
- "alpha_s = 0.167*V/T; #Sabine Formula giving total absorption of sound in the hall(OWU)\n",
- "alpha_s = math.ceil(alpha_s*10)/10; #rounding off the value of alpha_s to 1 decimal\n",
- "\n",
- "#Result\n",
- "print \"The total absorption of sound in the hall is\",alpha_s, \"OWU\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The total absorption of sound in the hall is 890.7 OWU\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.4, Page number 362"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "V = 25*20*8; #Volume of the hall(m**3)\n",
- "T = 4; #Reverbration time of the hall(s)\n",
- "\n",
- "#Calculation\n",
- "S = 2*(25*20+25*8+20*8); #Total surface area of the hall(m**2)\n",
- "alpha = 0.167*V/(T*S); #Sabine Formule giving total absorption in the hall(OWU)\n",
- "alpha = math.ceil(alpha*10**4)/10**4; #rounding off the value of alpha to 4 decimals\n",
- "\n",
- "#Result\n",
- "print \"The average absorption coefficient of the surfaces is\",alpha, \"OWU/m**2\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The average absorption coefficient of the surfaces is 0.0971 OWU/m**2\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.5, Page number 362"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "V = 475; #Volume of the hall(m**3)\n",
- "A_f = 100; #Area of the floor(m**2)\n",
- "A_c = 100; #Area of the ceiling(m**2)\n",
- "A_w = 200; #Area of the wall(m**2)\n",
- "alpha_w = 0.025; #Absorption coefficients of the wall(OWU/m**2)\n",
- "alpha_c = 0.02; #Absorption coefficients of the ceiling(OWU/m**2)\n",
- "alpha_f = 0.55; #Absorption coefficients of the floor(OWU/m**2)\n",
- "\n",
- "#Calculation\n",
- "alpha_s = (A_w*alpha_w)+(A_c*alpha_c)+(A_f*alpha_f); \n",
- "T = 0.167*V/alpha_s; #Sabine Formula for reverbration time(s)\n",
- "T = math.ceil(T*100)/100; #rounding off the value of T to 2 decimals\n",
- "\n",
- "#Result\n",
- "print \"The reverbration time for the hall is\",T, \"s\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The reverbration time for the hall is 1.28 s\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 18.6, Page number 362"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "I0 = 1; #For simplicity assume initial sound intensity to be unity(W/m**2)\n",
- "A_I1 = 80; #First intensity gain of sound(dB)\n",
- "A_I2 = 70; #Second intensity gain of sound(dB)\n",
- "\n",
- "#Calculation\n",
- "#As A_I = 10*log10(I/I_0), solving for I1 and I2\n",
- "I1 = 10**(A_I1/10)*I0; #First intensity of sound(W/m**2)\n",
- "I2 = 10**(A_I2/10)*I0; #Second intensity of sound(W/m**2)\n",
- "I = I1 + I2; #Resultant intensity level of sound(W/m**2)\n",
- "A_I = 10*np.log10(I/I0); #Intensity gain of resultant sound(dB)\n",
- "A_I = math.ceil(A_I*10**3)/10**3; #rounding off the value of A_I to 3 decimals\n",
- "\n",
- "#Result\n",
- "print \"The intensity gain of resultant sound is\",A_I, \"dB\"\n",
- "\n",
- "#answer given in the book is wrong"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The intensity gain of resultant sound is 80.414 dB\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file