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{
"metadata": {
"name": "",
"signature": "sha256:99719b77e4d25d0b510a7e6a71bd4ef254e2672471167e904ef1ad3797b62091"
},
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 2 : Expansion \n"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.1 Page No : 24"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Input data\n",
"l = 1. # The thickness of the crystal in cm\n",
"w = 5890. - 8 # The wavelength of light used in cm\n",
"t2 = 50. # The final temperature of the crystal in degree centigrade\n",
"t1 = 20. # The initial temperature of the crystal in degree centigrade\n",
"p = 14. # The number of fringes that crossed the field of view\n",
"\n",
"# Calculations\n",
"t = t2 - t1 # The temperature difference in degree centigrade\n",
"# The coefficient of linear expansion of the crystal in per degree centigrade\n",
"a = (p * w) / (2 * l * t)\n",
"\n",
"# output\n",
"print 'The coefficient of linear expansion of the crystal is %3.4g degree centigrade' % (a)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The coefficient of linear expansion of the crystal is 1372 degree centigrade\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.2 Page No : 31"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Input data\n",
"L = 500. # The length of a steel rod in cm\n",
"t = 40. # The increase in temperature in degree centigrade\n",
"y = 2. * 10**12 # The youngs modulus of elasticity of steel in dynes/cm**2\n",
"e = 12. * 10**-6 # The coefficient of linear expansion of steel in per degree centigrade\n",
"\n",
"# Calculations\n",
"S = y * e * t # The stress in the rod in dynes/cm**2\n",
"\n",
"# Output\n",
"print 'The stress in the rod is %3g dynes/cm^2' % (S)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The stress in the rod is 9.6e+08 dynes/cm^2\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.3 Page No : 36"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Input data\n",
"L = 800. # The length of the wire in cm\n",
"r = 0.2 # The radius of the wire in cm\n",
"t = 10. # The temperature fall in degree centigrade\n",
"a = 12. * 10**-6 # The coefficient of linear expansion of steel wire in per degree centigrade\n",
"y = 2. * 10**12 # The youngs modulus of elasticity of steel in dynes/cm**2\n",
"pi = (22. / 7) # Mathematical constant pi\n",
"\n",
"# Calculations\n",
"I = y * a * t * pi * r**2 # The increase in tension in dynes\n",
"\n",
"# Output\n",
"print 'The increase in tension is %3g dynes' % (I)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The increase in tension is 3.01714e+07 dynes\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.4 Page No : 39"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Input data\n",
"A = 2. * 10**-6 # The cross section area of a uniform rod in m**2\n",
"t = 20. # The change in temperature in degree centigrade\n",
"y = 10.**11 # The youngs modulus of the rod in newtons/m**2\n",
"a = 12. * 10**-6 # The coefficient of linear expansion of rod in per degree centigrade\n",
"\n",
"# Calculations\n",
"F = y * a * t * A # The force required to prevent it from expanding in newtons\n",
"E = (1. / 2) * y * a * t * a * t # The energy stored per unit volume in j/m**3\n",
"\n",
"# Output\n",
"print 'The force required to prevent the rod from expanding is %3.0f newtons \\\n",
"\\nThe Energy stored per unit volume is %3.0f j/m^3' % (F, E)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The force required to prevent the rod from expanding is 48 newtons \n",
"The Energy stored per unit volume is 2880 j/m^3\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.5 Page No : 41"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Input data\n",
"d = 10.**-3 # The diameter of a steel wire in m\n",
"t = 20. # The difference in the temperature in degree centigrade\n",
"y = 2. * 10**11 # The youngs modulus of a steel wire in newtons/m**2\n",
"a = 12. * 10**-6 # The coefficient of linear expansion of steel wire in per degree centigrade\n",
"pi = (22. / 7) # Mathematical constant value\n",
"\n",
"# calculations\n",
"A = (pi * d**2) / 4 # The cross sectional area of the steel wire in m**2\n",
"# Force required to maintain the original length in kg wt\n",
"F = (y * a * t * A) / (9.8)\n",
"\n",
"# output\n",
"print 'Force required to maintain the original length is %3.3f kg wt ' % (F)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Force required to maintain the original length is 3.848 kg wt \n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
