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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
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| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | df60071cf1d1c18822d34f943ab8f412a8946b69 (patch) | |
| tree | ab059cf19bad4a1233a464ccf5d72cf8b3fb323c /sample_notebooks/DevikaRaj | |
| parent | fba055ce5aa0955e22bac2413c33493b10ae6532 (diff) | |
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| -rwxr-xr-x | sample_notebooks/DevikaRaj/Chapter1.ipynb | 221 |
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diff --git a/sample_notebooks/DevikaRaj/Chapter1.ipynb b/sample_notebooks/DevikaRaj/Chapter1.ipynb new file mode 100755 index 00000000..2e5de774 --- /dev/null +++ b/sample_notebooks/DevikaRaj/Chapter1.ipynb @@ -0,0 +1,221 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 1 - Physics and Engineering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 1 - pg 11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Percentage Error (percentage) = 4.0\n"
+ ]
+ }
+ ],
+ "source": [
+ "#calculate the percentage error\n",
+ "#Given:\n",
+ "l=9.3; # length in cm\n",
+ "b=8.5;# breadth in cm\n",
+ "h=5.4;# height in cm\n",
+ "#calculations\n",
+ "V= l*b*h; # Volume in cm**3\n",
+ "delta_l = 0.1; delta_b = 0.1; delta_h = 0.1; # scale has a least count = 0.1 cm\n",
+ "# absolute error \n",
+ "delta_V = (b*h*delta_l + l*h*delta_b +l*b*delta_h); # in cm**3\n",
+ "#relative error \n",
+ "re = delta_V/V;\n",
+ "p= re*100; # Evaluating percentage error\n",
+ "#results\n",
+ "print \"Percentage Error (percentage) = \",round(p,0)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2 - pg 12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Percentage error (percentage) = 2.86\n",
+ "Result obtained differs from that in textbook, because delta_M walue is taken 0.1 g , instead of 0.2 g as mentioned in the problem statement.\n"
+ ]
+ }
+ ],
+ "source": [
+ "#calculate the percentage error\n",
+ "#Given :\n",
+ "M= 10.0; #weight in g\n",
+ "V= 5.80;#volume in cm**3\n",
+ "#calculations\n",
+ "Rho = M/V; # Density in g/cm**3\n",
+ "delta_M= 0.2 # apparatus has a least count of 0.2 g\n",
+ "delta_V= 0.05# apparatus has a least count of 0.05 cm**3\n",
+ "delta_Rho = (delta_M/V) +((M*delta_V)/V**2);# absolute error in g/cm**3\n",
+ "re = delta_Rho/Rho ; #Evaluating Relative Error\n",
+ "p = re*100;# Evaluating Percentage Error\n",
+ "#results\n",
+ "print \"Percentage error (percentage) = \",round(p,2)\n",
+ "print'Result obtained differs from that in textbook, because delta_M walue is taken 0.1 g , instead of 0.2 g as mentioned in the problem statement.'\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3 - pg 16"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(a)Actual Value of c/r ranges between 5.9 - 6.6 and Percentage error = 5.3 percentage. \n",
+ "(b)Actual Value of c/r ranges between 6.281 - 6.288 and Percentage error = 0.06 percentage.\n"
+ ]
+ }
+ ],
+ "source": [
+ "#calculate the Actual val of c/r ranges and percentage error\n",
+ "#Given:\n",
+ "#(a) \n",
+ "import math\n",
+ "lc = 0.1# least count in cm\n",
+ "c = 6.9 #Circumference c in cm\n",
+ "r= 1.1 # radius of circle in cm\n",
+ "val =2*math.pi;\n",
+ "# Circumference,c= 2*pi*r or c/r = 2*pi\n",
+ "# Error in c/r is , delta(c/r)= [(c/r**2)+(1/r)](LC/2) , LC is Least Count .\n",
+ "E= ((c/r**2)+(1./r))*(lc/2.);#Error in c/r is delta(c/r)\n",
+ "ob = c/r; # Observed Value\n",
+ "#Actual Value of c/r ranges between\n",
+ "ac1 = ob-E;# Evaluating Minimum value for c/r \n",
+ "ac2 = ob+E;# Evaluating Maximum value for c/r\n",
+ "p = (E/ob)*100.; #Evaluating percentage error\n",
+ "#results\n",
+ "print \"(a)Actual Value of c/r ranges between\",round(ac1,1), \"-\",round(ac2,1),\" and Percentage error =\",round(p,1),\" percentage. \"\n",
+ "#(b)\n",
+ "lc1 = 0.001;#Now the least count is 0.001 cm\n",
+ "c1 = 6.316;#Circumference in cm\n",
+ "r1=1.005;#Circle radius in cm \n",
+ "E1 =((c1/r1**2) + (1/r1))*(lc1/2); # Error in c/r is delta(c/r)\n",
+ "ob1= c1/r1; #Observed Value\n",
+ "p1=(E1/ob1)*100.;#Evaluating percentage error\n",
+ "#Actual Value of c/r ranges between\n",
+ "a1= ob1-E1;#Evaluating Minimum value for c/r\n",
+ "a2= ob1+E1;#Evaluating Maximum value for c/r\n",
+ "print \"(b)Actual Value of c/r ranges between\",round(a1,3),\"-\",round(a2,3),\"and Percentage error =\",round(p1,2),\" percentage.\"\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 4 - pg 17"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(a) It is is 15.0 percentage lower than the experimental value.\n",
+ "(b) It is 0.6 percentage higher than the experimental value.\n"
+ ]
+ }
+ ],
+ "source": [
+ "#calculate the percentage lower or higher than experimental value\n",
+ "#Given\n",
+ "import math\n",
+ "# (a) Newton's Theory\n",
+ "# v= (P/rho)**2 , P= Pressure , rho = density\n",
+ "P = 76.; # 76 cm of Hg pressure\n",
+ "V= 330. ; # velocity of sound in m/s\n",
+ "rho = 0.001293; # density for dry air at 0 degrees celsius in g/cm**3\n",
+ "g = 980.;#gravitational acceleration in cm/s**2\n",
+ "#Density of mercury at room temperature is 13.6 g/cm**3 \n",
+ "# 1 cm**2 = 1.0*10**-4 m**2\n",
+ "#calculations\n",
+ "v = math.sqrt(((P*13.6*g)/rho)*10**-4); # velocity of sound in m/s\n",
+ "p= ((V-v)/V)*100; # % lower than the experimental value\n",
+ "#results\n",
+ "print \"(a) It is is\",round(p,0),\" percentage lower than the experimental value.\"\n",
+ "\n",
+ "# (b) Laplace's Theory \n",
+ "# v= ((gama*P)/rho)**2., gamma = adiabatic index Thus,\n",
+ "#Given :\n",
+ "gama = 1.41 # Adiabatic index\n",
+ "#Density of mercury at room temperature is 13.6 g/cm**3 \n",
+ "# 1 cm**2 = 1.0*10**-4 m**2\n",
+ "v1 = math.sqrt(((gama*P*13.6*g)/rho)*10**-4);# velocity of sound in m/s\n",
+ "p1 = ((V-round(v1))/V)*100;# % higher than the eperimental value\n",
+ "#results\n",
+ "print \"(b) It is\",round(abs(p1),1),\"percentage higher than the experimental value.\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
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+ },
+ "file_extension": ".py",
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+ "nbconvert_exporter": "python",
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