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authorkinitrupti2017-05-12 18:53:46 +0530
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 2: Units and Dimensions"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exa 2.1a"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "I in SI system (Kg m^2) = 1.00\n",
+ "press enter key to exit\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "''"
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "#According to newton's second law for angular motion, torque equals \n",
+ "#the product of the mass moment of inertia and angular acceleration \n",
+ "#By means of dimensonal symbolism determine the units of I in SI units\n",
+ "#initialisation of variables\n",
+ "F= 1\t\t\t\t\t#N\n",
+ "L= 1\t\t\t\t\t#m\n",
+ "T= 1\t\t\t\t\t#s\n",
+ "I= 1\t\t\t\t\t#N m s^2\n",
+ "N= 1\t\t\t\t\t#Kg m s^-2\n",
+ "#CALCULATIONS\n",
+ "I= F*L*T*T \t\t\t\t#Kg m^2\n",
+ "#RESULTS\n",
+ "print '%s %.2f' % ('I in SI system (Kg m^2) = ',I)\n",
+ "raw_input('press enter key to exit')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exa 2.1b"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " I in British Gravitational System (slug ft^2) = 1.00\n"
+ ]
+ }
+ ],
+ "source": [
+ "#According to newton's second law for angular motion, torque equals \n",
+ "#the product of the mass moment of inertia and angular acceleration \n",
+ "#By means of dimensonal symbolism determine the units of I in British units\n",
+ "#initialisation of variables\n",
+ "F= 1\t\t\t\t\t#lbf\n",
+ "L= 1\t\t\t\t\t#ft\n",
+ "T= 1\t\t\t\t\t#s\n",
+ "I= 1\t\t\t\t\t#lbf ft s^2\n",
+ "lbf= 1\t\t\t\t\t#slug ft s^-2\n",
+ "#CALCULATIONS\n",
+ "I= F*L*T*T \t\t\t\t#slug ft^2\n",
+ "#RESULTS\n",
+ "print '%s %.2f' % (' I in British Gravitational System (slug ft^2) = ',I)\n",
+ "raw_input('press enter key to exit')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exa 2.2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "gc (lbm ft/poundal^2) = 1.00\n",
+ "press enter key to exit\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "''"
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "#Determine the gravitational constant gc for the british absoulte system.\n",
+ "#initialisation of variables\n",
+ "F= 1 \t\t\t\t\t#Pouunda\n",
+ "m= 1 \t\t\t\t\t#lbm\n",
+ "g= 1 \t\t\t\t\t#fts^-2\n",
+ "#CALCULATIONS\n",
+ "gc= m*g/F \t\t\t\t#Gravitation in British Units\n",
+ "#RESULTS\n",
+ "print '%s %.2f' %('gc (lbm ft/poundal^2) = ',gc)\n",
+ "raw_input('press enter key to exit')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Exa 2.3"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Pa (poundal/ft^2) = 684016.87\n",
+ "press enter key to exit\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "''"
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "#If a mercury barometer shows a height of 76 cmHg, express the atmospheric\n",
+ "#pressure in force units of the british absoulte system.\n",
+ "#initialisation of variables\n",
+ "h= 76. \t\t\t\t\t#cmhg\n",
+ "g= 32.2 \t\t\t\t#ft/s^2\n",
+ "h= 76.0 \t\t\t\t#cmHg\n",
+ "Dhg= 847. \t\t\t\t#lbm/ft^3\n",
+ "#CALCULATIONS\n",
+ "Pa= Dhg*g*h*0.33\t\t#P in lbm/ft S^2\n",
+ "Pa1= Pa/1. \t\t\t\t#P in poundal/ft^2\n",
+ "#RESULTS\n",
+ "print '%s %.2f' % ('Pa (poundal/ft^2) = ',Pa1)\n",
+ "raw_input('press enter key to exit')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}