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authorJovina Dsouza2014-07-09 14:16:11 +0530
committerJovina Dsouza2014-07-09 14:16:11 +0530
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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 : Equations of Motion for a Fluid Element"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.1.1 page no : 127"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "F= 100. \t\t#lbf\n",
+ "a= 20. \t\t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "m= F*32.2/a\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print ' mass of the body = %.f lb'%(m)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " mass of the body = 161 lb\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.1.2 Page no : 127"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "m= 5. \t\t\t#lb\n",
+ "a= 200. \t\t\t#cm/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "F= m*a/(32.2*30.5)\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print ' Force on the body = %.2f lbf'%(F)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Force on the body = 1.02 lbf\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.1.3 page no : 128"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "m= 1. \t\t\t#gm\n",
+ "g= 327. \t\t#cm/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "F=m*g/981.\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print ' Force on the body = %.2f gf'%(F)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " Force on the body = 0.33 gf\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.2.1 page no : 129"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "w= 0.0764 \t\t\t#lbf/ft**3\n",
+ "u= 88. \t\t\t#ft/sec\n",
+ "g= 32.2 \t\t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "q= w*u**2./(2*g)\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print ' dynamic pressure of air = %.2f lbf/ft**2'%(q)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " dynamic pressure of air = 9.19 lbf/ft**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.3.1 page no: 132"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "#initialisation of variables\n",
+ "\n",
+ "p= 60. \t\t\t#lbf/in**2\n",
+ "w= 62.4 \t\t\t#lbf/ft**3\n",
+ "l= 1. \t\t\t#ft\n",
+ "g= 32.2 \t\t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "i= p*144./(w*l)\n",
+ "a= i*g\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'accelaration of fluid = %.f ft/sec**2'%(a)\n",
+ "print 'Answer in book is wrong please check manually.'"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "accelaration of fluid = 4458 ft/sec**2\n",
+ "Answer in book is wrong please check manually.\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.3.2 page no : 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "import math \n",
+ "import numpy\n",
+ "\n",
+ "w= 60. \t\t\t#re/min\n",
+ "d= 1. \t\t\t#ft\n",
+ "g= 32.2 \t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "a= w**2.*d*4.*math.pi**2./(2.*60**2)\n",
+ "i= a/g\n",
+ "o= math.degrees(numpy.arctan(i))\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'slope ofthe free surface = %.1f degrees'%(o)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "slope ofthe free surface = 31.5 degrees\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.3.3 page no : 134"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "import math \n",
+ "\n",
+ "H= 50. \t\t\t#ft\n",
+ "l= 200. \t\t\t#ft\n",
+ "g= 32.2 \t\t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCU;ATIONS\n",
+ "i= H/l\n",
+ "a= i*g\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'accelaration = %.2f ft/sec**2'%(a)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "accelaration = 8.05 ft/sec**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.7.2 page no :145"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "import math \n",
+ "\n",
+ "g= 32.2 \t\t\t#ft/sec**2\n",
+ "h= 12. \t\t\t#in\n",
+ "r= 10. \t\t\t#in\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "w= math.sqrt(2*g*(r/12)*(12/r)**2)*(60/(2*math.pi))\n",
+ "P= h+(r/4.)\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'speed of rotation = %.f rev/min'%(w)\n",
+ "print ' maximum pressure head = %.1f in of water'%(P)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "speed of rotation = 84 rev/min\n",
+ " maximum pressure head = 14.5 in of water\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.8.1 page no : 147"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "import math \n",
+ "\n",
+ "l= 6. \t\t\t#ft\n",
+ "g= 32.2 \t\t\t#ft/sec**2\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "T= 2*math.pi*math.sqrt(l/g)\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'natural period ofthe system = %.2f sec'%(T)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "natural period ofthe system = 2.71 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 6.8.2 page no : 151"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#initialisation of variables\n",
+ "import math \n",
+ "\n",
+ "l= 6. \t\t\t#ft\n",
+ "g= 32.2 \t\t#ft/sec**2\n",
+ "l1= 6. \t\t\t#ft\n",
+ "l2= 6. \t\t\t#ft\n",
+ "l3= 34.\t\t\t#ft\n",
+ "\t\t\t\n",
+ "#CALCULATIONS\n",
+ "a= -((l1+l2-l3)/l)*g\n",
+ "w= math.sqrt(a/4.5)*(60/(2*math.pi))\n",
+ "\t\t\t\n",
+ "#RESULTS\n",
+ "print 'maximum speed = %.1f cycles/min'%(w)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "maximum speed = 48.9 cycles/min\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file