diff options
Diffstat (limited to 'Engineering_Physics_by_A._Marikani/Chapter_1.ipynb')
| -rwxr-xr-x | Engineering_Physics_by_A._Marikani/Chapter_1.ipynb | 267 |
1 files changed, 267 insertions, 0 deletions
diff --git a/Engineering_Physics_by_A._Marikani/Chapter_1.ipynb b/Engineering_Physics_by_A._Marikani/Chapter_1.ipynb new file mode 100755 index 00000000..a6934dcd --- /dev/null +++ b/Engineering_Physics_by_A._Marikani/Chapter_1.ipynb @@ -0,0 +1,267 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:dbcb8c7a4d852e94c64ae36b37434de99bb1000ca8d8a481769813b464811eeb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Ultrasonics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.1, Page number 28 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "t=0.15*10**-2; #thickness of the quartz crystal in m\n", + "Y=7.9*10**10; #young's modulus of quartz in N/m^2\n", + "rho=2650; #density of quartz in kg/m^3\n", + "\n", + "#Calculation\n", + "x=math.sqrt(Y/rho);\n", + "f=x/(2*t);\n", + "f=f*10**-6; #converting f from Hz to MHz\n", + "f=math.ceil(f*10**6)/10**6; #rounding off to 6 decimals\n", + "\n", + "#Result\n", + "print(\"fundamental frequency of vibration in MHz is\",f);\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "('fundamental frequency of vibration in MHz is', 1.819992)\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.2, Page number 28 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "t=1e-03; #thickness of the quartz crystal in m\n", + "Y=7.9*10**10; #young's modulus of quartz in N/m^2\n", + "rho=2650; #density of quartz in kg/m^3\n", + "\n", + "#Calculation\n", + "x=math.sqrt(Y/rho);\n", + "p1=1; #for fundamental frequency p=1\n", + "f1=(p1*x)/(2*t);\n", + "F1=f1/10**6;\n", + "F1=math.ceil(F1*10**5)/10**5; #rounding off to 5 decimals\n", + "f_1=f1*10**-6; #converting f1 from Hz to MHz\n", + "f_1=math.ceil(f_1*10**5)/10**5; #rounding off to 5 decimals\n", + "p2=2; #for first overtone p=2\n", + "f2=(p2*x)/(2*t);\n", + "F2=f2/10**6;\n", + "F2=math.ceil(F2*10**5)/10**5; #rounding off to 5 decimals\n", + "f_2=f2*10**-6; #converting f2 from Hz to MHz\n", + "f_2=math.ceil(f_2*10**5)/10**5; #rounding off to 5 decimals\n", + "\n", + "#Result\n", + "print(\"fundamental frequency in Hz is\",F1,\"*10**6\");\n", + "print(\"fundamental frequency in MHz is\",f_1);\n", + "print(\"frequency of the first overtone in Hz is\",F2,\"*10**6\");\n", + "print(\"frequency of the first overtone in MHz is\",f_2);\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "('fundamental frequency in Hz is', 2.72999, '*10**6')\n", + "('fundamental frequency in MHz is', 2.72999)\n", + "('frequency of the first overtone in Hz is', 5.45998, '*10**6')\n", + "('frequency of the first overtone in MHz is', 5.45998)\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.3, Page number 29 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "lamda=589.3*10**-9; #wavelength of light in m\n", + "f=100*10**6; #frequency of ultrasonic transducer in Hz\n", + "n=1; #order of diffraction\n", + "theta=2.25; #angle of diffraction in degrees\n", + "theta=theta*0.0174532925; #converting degrees to radians\n", + "\n", + "#Calculation\n", + "d=(n*lamda)/(2*math.sin(theta));\n", + "d1=d*10**6; #converting d from m to micro m\n", + "lamda1=2*d;\n", + "v=f*lamda1;\n", + "v=math.ceil(v*100)/100; #rounding off to 2 decimals\n", + "\n", + "#Result\n", + "print(\"wavelength of ultrasonic wave in m is\",lamda1);\n", + "print(\"velocity of ultrasonic wave in m/sec\",int(v));" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "('wavelength of ultrasonic wave in m is', 1.5010258944908707e-05)\n", + "('velocity of ultrasonic wave in m/sec', 1501)\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.4, Page number 29 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "f=2*10**6; #frequency of transducer in MHz\n", + "v=3; #speed of blood in m/s\n", + "c=800; #velocity of ultrasonic wave in m/s\n", + "theta=30; #angle of inclination in degrees\n", + "theta=theta*0.0174532925; #converting degrees to radians\n", + "\n", + "#Calculation\n", + "deltaf=(2*f*v*math.cos(theta))/c;\n", + "deltaf=deltaf*10**-6; #converting deltaf from Hz to MHz\n", + "deltaf=math.ceil(deltaf*10**6)/10**6; #rounding off to 6 decimals\n", + "\n", + "#Result\n", + "print(\"doppler shifted frequency in MHz is\",deltaf);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "('doppler shifted frequency in MHz is', 0.012991)\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.5, Page number 30 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "Y=7.9*10**10; #young's modulus of quartz in N/m^2\n", + "rho=2650; #density of quartz in kg/m^3\n", + "\n", + "#Calculation\n", + "v=math.sqrt(Y/rho);\n", + "v=math.ceil(v*10**3)/10**3; #rounding off to 3 decimals\n", + "\n", + "#Result\n", + "print(\"velocity of ultrasonic waves in m/s is\",v);\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "('velocity of ultrasonic waves in m/s is', 5459.975)\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file |