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"source": [
"# CHAPTER 1: INTRODUCTION"
]
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"\n"
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"source": [
"## Section-1.22, Problem 1, pg24"
]
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" the length of the chain is 20 meters\n",
" the error in the chain is 0.03\n",
" the measured length 327 meters\n",
" the ture length of the chain is 327.4905 meters\n"
]
}
],
"source": [
"#Variable Declaration\n",
"L=20; # True length of the chain is defined as L\n",
"print(' the length of the chain is ',L,'meters'); # Print L\n",
"\n",
"E=0.03; #Error in chain\n",
"print(' the error in the chain is ',E); #Print E\n",
"\n",
"ML=327; #Measured length is defined as ML\n",
"print(' the measured length ',ML,'meters'); #print ML\n",
"\n",
"tlength=((L+E)/L)*ML; #True length of L calculated\n",
"print(' the ture length of the chain is ',tlength,'meters'); #Print true length.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"\n",
"## Section 1.22, Problem 6, pg 27."
]
},
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"text": [
" for n=1\n",
"the temperature correction is 0.00396 meters\n",
"the pull corretion is 0.002380952380952381 meters\n",
"the sag correction is -0.0026680499999999995 meters\n",
"the total correction is 0.0036729023809523816 meters\n",
"the true length is 780.0954954619046\n",
" for n=2\n",
"the temperature correction is 0.00396 meters\n",
"the pull corretion is 0.002380952380952381 meters\n",
"the sag correction is -0.0006670124999999999 meters\n",
"the total correction is 0.005673939880952382 meters\n",
"the true length is 780.1475224369049\n"
]
}
],
"source": [
"#Variable declaration\n",
"L=30; #Length of tape\n",
"t0=20; #Temperature of tape\n",
"p0=10; #Pull under which tape is present\n",
"pm=15; #Measured line pull\n",
"tm=32; #Mean temperature.\n",
"a=0.03; #Cross-sectional area\n",
"al=11/(1000000); #Temperature correction co-efficient\n",
"E=2.1*(1000000); #E for steel\n",
"w=0.693; #Total weight\n",
"ml=780; #measured length\n",
"n=1; #n defined\n",
"print(' for n=1'); #print n value\n",
"ct=al*L*(tm-t0); #temperature correction calculated\n",
"print('the temperature correction is',ct,'meters'); #print temperature correction\n",
"\n",
"cp=(pm-p0)*L/(a*E); #pull correction calculated\n",
"print('the pull corretion is ',cp,' meters'); #print pull correction\n",
"\n",
"cs=-L*w*w/(24*pm*pm*n*n); #sag correction calculated\n",
"print('the sag correction is ',cs,'meters'); #print sag correction\n",
"\n",
"e=ct+cp+cs; #total correction calculated\n",
"print('the total correction is ',e,'meters'); #total correction printed\n",
"\n",
"l1=L+e; #correction in length =sum of correction and measured length \n",
"\n",
"truelength=(l1/L)*ml; #true length calculated\n",
"print('the true length is ',truelength); #true length printed\n",
"\n",
"n=2; #new n defined\n",
"\n",
"print(' for n=2'); #print n value\n",
"ct=al*L*(tm-t0); #temperature correction calculated\n",
"print('the temperature correction is',ct,'meters'); #print temperature correction\n",
"\n",
"\n",
"cp=(pm-p0)*L/(a*E); #pull correction calculated\n",
"print('the pull corretion is ',cp,' meters'); #print pull correction\n",
"\n",
"cs=-L*w*w/(24*pm*pm*n*n); #sag correction calculated\n",
"print('the sag correction is ',cs,'meters'); #print sag correction\n",
"\n",
"e=ct+cp+cs; #total correction calculated\n",
"print('the total correction is ',e,'meters'); #total correction printed\n",
"\n",
"l1=L+e; #correction in length =sum of correction and measured length \n",
"\n",
"truelength=(l1/L)*ml; #true length calculated\n",
"print('the true length is ',truelength); #true length printed\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Section-1.23, Problem 4, pg39"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
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},
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{
"name": "stdout",
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"text": [
" the value of ab is 28.590787835233098 meters\n",
" the value of b1c is 23.22557994840693 meters\n",
" the value of c1d is 20.582482037955145 meters\n",
" the value of d1e is 28.95316898172065 meters\n",
"the total distance is 101.35201880331583 meters\n"
]
}
],
"source": [
"#Library imported\n",
"import math \n",
"\n",
"\n",
"ab=28.7*math.cos(5*(math.pi/180)); #AB calculated using trigonometry\n",
"b1c=23.4*math.cos(7*(math.pi/180)); #B'C calculated\n",
"c1d=20.9*math.cos(10*(math.pi/180)); # C'D calculated\n",
"d1e=29.6*math.cos(12*(math.pi/180)); # D'E calculated\n",
"print(' the value of ab is ',ab,'meters'); #AB printed\n",
"\n",
"print(' the value of b1c is ',b1c,'meters'); # B'C printed\n",
"\n",
"print(' the value of c1d is ',c1d,'meters'); # C'D printed\n",
"\n",
"print(' the value of d1e is ',d1e,'meters'); #D'E printed\n",
"\n",
"\n",
"total=ab+b1c+c1d+d1e; #total calculated\n",
"print('the total distance is ',total,'meters'); #total printed\n"
]
}
],
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