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  "signature": "sha256:e2b842be083bc61cf1d1d9ada89de2502dedfb3d340e5f3b6d0b51d6c790688a"
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "4: Ultrasonic"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.1, Page number 84"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#importing modules\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable declaration\n",
      "V1=343;     #velocity of air(m/s)\n",
      "V2=1372;    #velocity f water(m/s)\n",
      "dt=3;       #time difference(s)\n",
      "\n",
      "\n",
      "#Calculation\n",
      "S=((V1*V2)*(dt))/(V2-V1);     #distance between two ships(m)\n",
      "\n",
      "#Result\n",
      "print \"distance between two ships is\",S,\"m\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "distance between two ships is 1372.0 m\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.2, Page number 84"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#importing modules\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable declaration\n",
      "V=1700;     #velocity of sound(m/s)\n",
      "t=0.65;     #time(s)\n",
      "n=0.07*10**6;     #frequency of source(Hz)\n",
      "\n",
      "\n",
      "#Calculation\n",
      "d=(V*t)/2;      #depth of sea(m)\n",
      "lamda=V/n;      #wavelength of pulse(m)\n",
      "\n",
      "#Result\n",
      "print \"depth of sea is\",d,\"m\"\n",
      "print \"wavelength of pulse is\",round(lamda,4),\"m\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "depth of sea is 552.5 m\n",
        "wavelength of pulse is 0.0243 m\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.3, Page number 84"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#importing modules\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable declaration\n",
      "P=1;     \n",
      "l=40*10**-3;    #length of pure rod(m)\n",
      "E=115*10**9;    #Young's modulus(N/m**2)\n",
      "D=7.25*10**3;   #density of pure iron(kg/m**3)\n",
      "\n",
      "#Calculation\n",
      "n=(P/(2*l))*math.sqrt(E/D);    #natural frequency of pure rod(Hz) \n",
      "\n",
      "#Result\n",
      "print \"natural frequency of pure rod is\",round(n/10**3,1),\"kHz\"\n",
      "print \"answer given in the book is wrong\"\n",
      "print \"frequency of rod is more than audible range, rod can be used in magnetostriction oscillator\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "natural frequency of pure rod is 49.8 kHz\n",
        "answer given in the book is wrong\n",
        "frequency of rod is more than audible range, rod can be used in magnetostriction oscillator\n"
       ]
      }
     ],
     "prompt_number": 8
    }
   ],
   "metadata": {}
  }
 ]
}