{
"metadata": {
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter - 5 Wave Motion and speed"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1, page : 115"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"from math import pi\n",
"#frequency\n",
"r=3 #m\n",
"w=10 #s**-1\n",
"vs=r*w #m/s\n",
"A=6 #m\n",
"fd=5/pi #s**-1\n",
"vmax=A*2*pi*fd #m/s\n",
"v=330 #m/s\n",
"n=340 #Hz\n",
"nmax=((v+vmax)/(v-vs))*n #Hz\n",
"nmin=((v-vmax)/(v+vs))*n #Hz\n",
"print \"Maximum frequency is \",nmax,\" Hz\"\n",
"print \"Minimum frequency is \",nmin,\" Hz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum frequency is 442.0 Hz\n",
"Minimum frequency is 255.0 Hz\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2, page : 118"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"# frequency\n",
"#given data :\n",
"N=400 #hZ\n",
"V=340 #M/S\n",
"VS=60 #M/S\n",
"N2=((V/(V-VS))*N) #Hz\n",
"print \"Frequency when engine is approaching to the listner is \",round(N2,2),\" Hz\"\n",
"N3=((V/(V+VS))*N) #Hz\n",
"print \"Frequency when engine is moving away from the listner is \",round(N3,2),\" Hz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency when engine is approaching to the listner is 485.71 Hz\n",
"Frequency when engine is moving away from the listner is 340.0 Hz\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3, page : 120"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"#frequency\n",
"v=1200 #km/h\n",
"w=40 #km/h\n",
"vs=40 #km/h\n",
"n=580 #Hz\n",
"nd=((v+vs)/((v+vs)-vs))*n #Hz\n",
"print \"Frequency of the whistle as heared by an observer on the hill is \",round(nd,2),\" Hz\"\n",
"x=29/30 #km\n",
"x*=1000 #m\n",
"print \"Distance is \",round(x,2),\" m\"\n",
"ndd=((v-w)+vs)/((v-w))*nd #Hz\n",
"print \"Frequency heared by driver is \",round(nd,2),\" Hz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Frequency of the whistle as heared by an observer on the hill is 599.33 Hz\n",
"Distance is 966.67 m\n",
"Frequency heared by driver is 599.33 Hz\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5, page :125"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"#frequency\n",
"v=340 #m/s\n",
"n=600 #Hz\n",
"vs=36 #km h**-1\n",
"vs1=vs*(1000/3600) #m/s\n",
"apf=((v)/(v-vs1))*n #Hz\n",
"vs2=54 #km h**-1\n",
"vs3=vs2*(1000/3600) #m/s\n",
"apf1=((v)/(v+vs3))*n #Hz\n",
"print \"Two apparent frequencies are \",round(apf,2),\" Hz and \",round(apf1,2),\" Hz\"\n",
"df=apf-apf1 #Hz\n",
"print \"Difference in frequencies is \",round(df,2),\" Hz\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Two apparent frequencies are 618.18 Hz and 574.65 Hz\n",
"Difference in frequencies is 43.53 Hz\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9, page : 135"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"from math import sqrt, pi\n",
"#foce constant,displacement , acceleration and energy\n",
"x1=.10 # in m\n",
"F1=4 # in N\n",
"K=F1/x1 \n",
"x2=0.12 # in m\n",
"print \"(a) The force constant, K = \",K,\" N/m \"\n",
"F=-K*x2 \n",
"print \"(b) The force, F = \",F, \" N\"\n",
"m=1.6 # in kg\n",
"T=2*pi*sqrt(m/K) \n",
"print \"(c) Period of pscillation, T = \",round(T,2), \" s\"\n",
"A=x2 \n",
"print \"(d) Amplitude of motion,A = \",A, \" m\"\n",
"alfa=A*K/m \n",
"print \"(e) Maximum acceleration,alfa = \",alfa,\" m/s**2\"\n",
"x=A/2 # in m\n",
"w=sqrt(K/m) \n",
"v=w*sqrt(A**2-x**2) \n",
"a=w**2*x # in m/s**2\n",
"KE=(1/2)*m*v**2 # in J\n",
"PE=(1/2)*K*x**2 # in J\n",
"TE=KE+PE \n",
"print \"\"\"(f) velocity is %0.2f m/s\n",
"acceleration %0.2f m/s**2\n",
"Kinetic energy is %0.2f J\n",
"Potential energy is %0.2f J\"\"\" %(v,a,KE,PE)\n",
"print \"(g) Total energy of the oscillating system %0.2f J\" %TE"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(a) The force constant, K = 40.0 N/m \n",
"(b) The force, F = -4.8 N\n",
"(c) Period of pscillation, T = 1.26 s\n",
"(d) Amplitude of motion,A = 0.12 m\n",
"(e) Maximum acceleration,alfa = 3.0 m/s**2\n",
"(f) velocity is 0.52 m/s\n",
"acceleration 1.50 m/s**2\n",
"Kinetic energy is 0.22 J\n",
"Potential energy is 0.07 J\n",
"(g) Total energy of the oscillating system 0.29 J\n"
]
}
],
"prompt_number": 22
}
],
"metadata": {}
}
]
}