Measurements
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Transcript Measurements
Measurement
Counting yields exact numbers
Measuring yields inexact values
Always some error
Your job is to minimize it
Errors and Mistakes
Errors - the difference between true
and measured values
Tend to be small
Can be reduced, but not eliminated
Mistakes - blunders
Cannot be compensated or averaged out
Can be eliminated by careful, consistent
work
Sources of Errors
Instrument Errors
Natural Errors - caused by environment
Personal Errors - limits of surveyor’s
abilities
Recording 3.91 when the true reading was
3.90 might be a personal error.
Recording 4.91 when the true reading is
3.90 is a mistake - redo!
Systematic vs. Random Errors
Systematic Errors
Same magnitude and sign each time
Instrument errors, temperature effects
are systematic
Reduce by calculation
Random Errors
As likely (+) as (-)
Usually small
Reduce by averaging
Personal errors are typically random.
Estimating Total Error
Repeated Measurements
Etotal E n
Series of Unrepeated Measurements
Etotal E E ... E
2
1
2
2
2
n
Measurement
Surveyors measure:
Horizontal angles
Vertical angles
Horizontal distances
Vertical distances (elevations)
Slope distances
Significant Digits
Carry 1 extra digit in calculations
Round off final answers
Surveyors typically measure
Feet to .01’
Meters to .01 m = 1 cm
Angles to limits of instrument: 1’ up to 1”
Record results that show limits
Accuracy and Precision
Accuracy - how close your measured
values come to the actual or true values.
Precision - how well you can repeat your
measurements.
Measurements of 90.03, 90.02, and 90.03
when the true distance is 100.00
represents good precision,
but terrible accuracy.
Field Notes
Legal Document
Represent your work
May end up in court
Sign, date each page
Neat, organized layout
Don’t obliterate mistakes - NO erasures
Use standard note forms
Field Note Rules
Names and phone numbers on cover
Table of Contents
Record measurements, not calculations!
Sketch where helpful
Number pages together
Job title, Date, Page number
N arrow
Reference Points
Hard (3-H, 4-H) pencil, not pen
No Erasures
Field Note Pages
Job title
Date
Weather
Crew, ass’ns
Standard form
Signature