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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 1: Ultrasonics"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1.1: Fundamental_frequency_of_vibration.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"\n",
+"// Example No.1.1.\n",
+"// Page No.28.\n",
+"clc;clear;\n",
+"t = 0.15*10^(-2);//Thickness of the quartz crystal -[m].\n",
+"Y = 7.9* 10^(10);//Young's modulus of quartz -[N/m^2].\n",
+"d = 2650;//Density of quartz -[kg/m^3].\n",
+"f = (1/(2*t))*(sqrt(Y/d));//'f' is fndamental frequency of vibration.\n",
+"f = f*10^(-6);//fundamental frequency of vibration.\n",
+"printf('\nThe fundamental frequency of vibration of the crystal is %.4f MHz',f);\n",
+""
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1.2: Fundamental_frequency_and_first_overtone.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"\n",
+"// Example No.1.2.\n",
+"// Page No. 28.\n",
+"clc;clear;\n",
+"t = 1*10^(-3);//Thickness of the quartz crystal -[m].\n",
+"Y = 7.9* 10^(10);//Young's modulus of quartz -[N/m^2].\n",
+"d = 2650;//Density of quartz -[kg/m^3].\n",
+"p = 1;\n",
+"f1 = (p/(2*t))*(sqroot(Y/d));//For fundamental frequency p=1.\n",
+"printf('\nThe fundamental frequency of vibration of the crystal is %3.3e Hz',f1);\n",
+"p = 2;\n",
+"f2 = (p/(2*t))*(sqroot(Y/d));// f2 is frequency of first overtone and for the first overtone P=2.\n",
+"printf('\nThe frequency of the first overtone of the crystal is %3.3e Hz',f2);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1.3: Velocity_of_ultrasonic_wave.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"\n",
+"// Example No.1.3.\n",
+"// Page No.29.\n",
+"clc;clear;\n",
+"w = 5.893*10^(-7);//Wavelength of the light -[m].\n",
+"f = 1*10^(8);//Frequency of the ultrasonic transducer -[Hz].\n",
+"n = 1;//Order of diffraction.\n",
+"d = 7.505*10^(-6);\n",
+"w = 2*d;//wavelength of the ultrasonic wave.\n",
+"printf('\nThe wavelength of the ultrasonic wave is %3.3e m',w);\n",
+"v = f*w;//Velocity of the ultrasonic wave.\n",
+"printf('\nThe velocity of ultrasonic wave is %.f m/s',v);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1.4: Doppler_shifted_frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"// Example No.1.4.\n",
+"// Page No.29.\n",
+"clc;clear;\n",
+"f = 2*10^(6);//frequency of transducer -[Hz].\n",
+"cosq = cosd(30);//Angle of inclination of the probe -[degree].\n",
+"c = 800;//Velocity of ultrasonic wave -[m/s].\n",
+"v = 3;//Speed of blood -[m/s].\n",
+"delf = ((2*f*v*cosq)/c);//Doppler shifted frequency.\n",
+"printf('\nThe Doppler shifted frequency is %3.3e Hz',delf);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1.5: Velocity_of_ultrasonic_waves.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"// Example No.1.5.\n",
+"// Page No.30.\n",
+"clc;clear;\n",
+"Y = 7.9*10^(10);//Young's modulus of quartz -[N/m^2].\n",
+"d = 2650;//Density of quartz -[kg/m^3].\n",
+"v = sqroot(Y/d);//Velocity of ultrasonic wave.\n",
+"printf('\nThe velocity of the ultrasonic waves is %.2f m/s',v);"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}