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{
"metadata": {
"name": "",
"signature": "sha256:1e2ea72063f4480e1666d90f5821f69263d6f609957c096a14e46eb50fe68a8d"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 21:Motion of Rotation"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.1, Page no.447"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"omega_0=0 #initial angular velocity\n",
"alpha=0.5 #angular acceleration in rad/sec**2\n",
"t=10 #time in sec\n",
"\n",
"#calculation\n",
"omega=omega_0+alpha*t\n",
"theta=omega_0*t+(alpha*t**2/2)\n",
"\n",
"#Result\n",
"print\"Angular velocity of the flywheel, omega=\",int(omega),\"rad/sec\"\n",
"print\"Angular displacement of the flywheel, theta=\",int(theta),\"rad\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angular velocity of the flywheel, omega= 5 rad/sec\n",
"Angular displacement of the flywheel, theta= 25 rad\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.4, Page no.448"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#variable declaration\n",
"omega_0=0 #initial angular velocity\n",
"alpha=0.5 #acceleration in rad/sec**2\n",
"t_1=120 #timetaken in sec\n",
"omega1_0=60 #initial angular velocity when pulley is coming to rest in rad/sec\n",
"alpha_2=-0.3 #Retardation in rad/sec**2\n",
"\n",
"\n",
"#calculation\n",
"#To calculate angular speed of pully in r.p.m. at the end of 2 min.\n",
"omega=round((omega_0+alpha*t_1)/(2*math.pi),2)\n",
"#To calculate time in which the pulley will come to rest\n",
"t_2=-omega1_0/alpha_2\n",
"\n",
"#Result\n",
"print\"Angular speed of pully in r.p.m. at the end of 2 min., omega=\",int(omega*60),\"r.p.m.\"\n",
"print\"Time in which the pulley will come to rest, t_2=\",int(t_2),\"sec\"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Angular speed of pully in r.p.m. at the end of 2 min., omega= 573 r.p.m.\n",
"Time in which the pulley will come to rest, t_2= 200 sec\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.9, Page no.453"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"r=0.6 #radius of wheel in m\n",
"omega_0=0 #initial angular velocity\n",
"alpha=0.8 #angular acceleration in rad/s**2\n",
"t=5 #time in s\n",
"\n",
"#calculation\n",
"omega=omega_0+alpha*t\n",
"v=r*omega\n",
"\n",
"#result\n",
"print\"Linear velocity of the point on the periphery of the wheel, v=\",round(v,1),\"m/s\"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Linear velocity of the point on the periphery of the wheel, v= 2.4 m/s\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 21.10, Page no.453"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#variable declaration\n",
"r=1 #Radius if pulley in m\n",
"N=240 #angular frequency in r.p.m\n",
"\n",
"#calculation\n",
"omega=2*math.pi*N/60\n",
"v=r*omega\n",
"\n",
"#Result\n",
"print\"Linear velocity of the particle on the periphery of the wheel, v=\",round(v,1),\"m/s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Linear velocity of the particle on the periphery of the wheel, v= 25.1 m/s\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
