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Equations_E3_225
Course: ENGINEERIN 413, Spring 2010School: UMass Lowell
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Word Count: 163
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Standarddeviation: Errors&Measurements Arithmeticmean: 1 1 1.645 , , , Errorofaseries: Errorofmean: th Weightofi measurement: DepartureofsideAB LatitudeofsideAB sin cos CompassruledepartureandlatitudeadjustmentsforsideAB: Positionmisclosure: Ratiomisclosure: Allowableangularmisclosure: Orderoftraverse 1stOrder nd 2 OrderClassI 2ndOrderClassII rd 3 OrderClassI rd 3 OrderClassII...
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Standarddeviation:
Errors&Measurements
Arithmeticmean: 1 1 1.645 , , , Errorofaseries: Errorofmean:
th Weightofi measurement:
DepartureofsideAB LatitudeofsideAB sin cos
CompassruledepartureandlatitudeadjustmentsforsideAB: Positionmisclosure: Ratiomisclosure: Allowableangularmisclosure: Orderoftraverse 1stOrder nd 2 OrderClassI 2ndOrderClassII rd 3 OrderClassI rd 3 OrderClassII 1.7" 3" 4.5" 10" 12" (afterazimuthadjustment) where :
Percentileerror: Lawofpropagationoferrors:if
1.960 errorofyis
1 1 Weightedaverage:
1:100,000 1:50,000 1:10,000 1:20,000 1:5,000
Errorofweightedaverage:
ConversionFactors/Units
1 mi = 5280 ft = 80 Gunters Chains 1 ft = 0.3048 m (International foot) 1 in = 2.54 cm (US Survey foot) 360 = 400 grad 360 = 2 rad 1 rad = 206,264.81
AngleMeasurements
Methodofrepetitions: Avg. Angle 360 where int 360
Traversing
A C
GENERAL:
Lawofsines: sin sin sin
C a B A c
Azimuths: 180
bB
+
Lawofcosines:
B
2
cos
b
or: 2 cos 2
LengthofsideABfromcoordinates: AzimuthofsideABfromcoordinates:
Anglefromlengthofsidesoftriangle: 0,1,2 sin 2 with:
tan
180
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