"Anyone who has never made a mistake has never
tried anything new" - Unknown
Objective
The purpose of this assignment is twofold. First, you will get a chance to
review estimating error for measuring a distance; and second, you will get a
chance to review your understanding of significant figures.
Problems
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The sides of a closed figure have been measured and found to have a total length
of 5,432.1 ft. If the error in the measurements is estimated to be 1.35 ft.,
what is the precision of the work? Hint: Remember you rules for significant
figures.
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An error of ±0.06 ft. is estimated for each
of 18 length measurements (which are to be added together to get the total
length.
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Estimated total error?
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Estimate total error if
the error is ±0.6 ft. per
length?
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Estimate the total error is
the estimated error
per 100 ft. is ±0.06 ft. and the measurements are 611.33, 562.22, 594.86, and
1,111.11 ft.
or
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A surveying crew or party is capable of taping
distances with an estimated probable error of ±0.014 ft. for each 100-ft. distance.
What estimated total error should be expected if 4,200 ft. is
measured?
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It is desired to tape 1,700 ft. with a total estimated probable
error of not more than ±0.03 ft.
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How accurately should each 100-ft. distance be measured so that the
permissible value is not exceeded?
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How accurately should each 100-ft. distance have to be measured so that
the estimated total error would not exceed ±0.10 ft. in a total distance of
2,200 ft?
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The 12 interior angles of a polygon are being
measured with a theodolite. Specifications require that the estimated total error may not exceed ±60 seconds. How accurately must
each angle be measured?
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The measurements of
a steel tape are: 100.00 ft. in length, 0.025 in. thick and 0.500 in. wide. If steel weighs
490.0 lb/ft3, how much does this tape weigh?
-
It
is desired to determine the height of a church steeple. Assuming that the
ground is level, a 300.00 ft. length is measured out from the base of the
steeple and a 18° 45' 30" vertical angle is determined from that point on the
ground to the top of the steeple. How tall is the steeple?
-
What is the total area in
acres of three sections of land that are measured as: 11.0 acres, 5.23
acres, 150,123.0 ft2?
This website was originally
developed by
Charles Camp for
CIVL
1101.
This site is
Maintained by the
Department of Civil Engineering
at the University of Memphis.
Your comments and questions are welcomed.
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