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-{
- "metadata": {
- "name": "",
- "signature": "sha256:064d55405a5d05f007b28f32cf39a9f99d10f303fc4084e2d14d99aaeb87858c"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Physics of Nano Materials"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.1, Page number 320"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#import modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable decleration\n",
- "r=5; #radius in m\n",
- "pi=3.14;\n",
- "\n",
- "#Calculation \n",
- "SA=4*pi*r**2; #surface area of sphere in m^2\n",
- "V=(4/3)*pi*r**3; #volume of sphere in m^3\n",
- "R=SA/V; #ratio\n",
- "#surface area to volume ratio can also be given by 3/radius\n",
- "\n",
- "#Result\n",
- "print(\"surface area to volume ratio of sphere in m-1 is\",R);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('surface area to volume ratio of sphere in m-1 is', 0.6)\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.2, Page number 321"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#import modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable decleration\n",
- "d=26; #distance in m\n",
- "r=d/2; #radius in m\n",
- "pi=3.14;\n",
- "\n",
- "#Calculation\n",
- "SA=4*pi*r**2; #surface area of sphere in m^2\n",
- "V=(4/3)*pi*r**3; #volume of sphere in m^3\n",
- "R=SA/V; #ratio\n",
- "R=math.ceil(R*10**3)/10**3; #rounding off to 3 decimals\n",
- "#surface area to volume ratio can also be given by 3/radius\n",
- "\n",
- "#Result\n",
- "print(\"surface area to volume ratio of sphere in m-1 is\",R);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('surface area to volume ratio of sphere in m-1 is', 0.231)\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.3, Page number 321"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#import modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable decleration\n",
- "r=1; #radius in m\n",
- "h=1; #height in m\n",
- "pi=3.14\n",
- "\n",
- "#Calculation\n",
- "V=(1/3)*pi*(r**2)*h;\n",
- "V=math.ceil(V*10**2)/10**2; #rounding off to 2 decimals\n",
- "\n",
- "#Result\n",
- "print(\"volume of cone in m^3 is\",V); "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('volume of cone in m^3 is', 1.05)\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.4, Page number 321"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#import modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable decleration\n",
- "r=3; # radius in m\n",
- "h=4; # height in m\n",
- "pi=3.14\n",
- "\n",
- "#Calculation\n",
- "SA=pi*r*math.sqrt((r**2)+(h**2));\n",
- "TSA=SA+(pi*r**2);\n",
- "\n",
- "#Result\n",
- "print(\"total surface area of cone in m^2 is\",TSA);\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('total surface area of cone in m^2 is', 75.36)\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.5, Page number 322"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- " \n",
- "#import modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable decleration\n",
- "V=100; #volume of cone in cubic inches\n",
- "r=5; #radius of cone in inches\n",
- "pi=3.14;\n",
- "\n",
- "#Calculation\n",
- "r_m=r*0.0254; #radius of cone in m\n",
- "#volume V=(1/3)*pi*(r**2)*h\n",
- "#therefore h = (3*V)/(pi*r**2)\n",
- "h=(3*V)/(pi*r**2); #height in inches\n",
- "R=3/r_m;\n",
- "h=math.ceil(h*10**3)/10**3; #rounding off to 3 decimals\n",
- "\n",
- "#Result\n",
- "print(\"height of the cone in inches is\",h);\n",
- "print(\"surface area to volume ratio in m-1 is\",R);\n",
- "\n",
- "#answer for the surface area to volume ratio given in the book is wrong"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "('height of the cone in inches is', 3.822)\n",
- "('surface area to volume ratio in m-1 is', 23.62204724409449)\n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file