Traverse Accuracy Calculation
The degree of accuracy for a traverse measures how precise the survey measurements are. It is calculated by comparing the total error found during the survey to the total length of the traverse's perimeter.
Degree of Accuracy Formula
The formula used to calculate the degree of accuracy (or relative accuracy) is:
$ \text{Degree of Accuracy} = \frac{\text{Error of Closure}}{\text{Perimeter}} $
Step-by-Step Calculation
Follow these steps to find the degree of accuracy:
- Identify Given Values:
- Error of Closure = 0.5 m
- Perimeter = 100 m
- Apply the Formula: Substitute the values into the formula.
$ \text{Degree of Accuracy} = \frac{0.5 \text{ m}}{100 \text{ m}} $
- Calculate the Result: Perform the division.
$ \text{Degree of Accuracy} = 0.005 $
- Round Off: The question asks to round off to 3 decimal places. The result is already $0.005$.
Final Degree of Accuracy
The calculated degree of accuracy is 0.005. This value falls within the range of 0.004 to 0.006, indicating the precision level of the traverse survey.
Important Questions from Traversing
- The forebearing of four sides of a closed quadrilateral ABCDA are
AB = 60°, BC = 149.87°, CD = 269.5°, DA = 20.17°.
The calculated value of interior angle D is _____° (Answer in decimal degrees and rounded off to two decimal values). The angular misclosure of the closed-loop traverse shown in the figure is _____________ ° (Answer in decimal degrees and rounded off to three decimal places)
- It is needed to establish the coordinates of a station A. Two stations B and C are available whose coordinates are given in the table.
Length of line CA = 1212.38 m; ∠BCA = 64°.
The Easting of station A is _______ m (Rounded off to two decimal places).
Assume station A lies to the west of the traverse line BC.Station Easting (m) Northing (m) B 11054.09 9484.37 C 10827.62 10112.15 - If the departure and latitude of a line are 70 m and -130 m, respectively, then the whole circle bearing of the line in degrees is
While carrying out a traverse survey ABCDA' using a theodolite with the originating station A, the departures and latitudes of the lines, as obtained, are shown in the following figure (not drawn to scale). It is seen that, due to the observational errors, the originating station A and its computed station A' are not the same. For this survey, the 'closing error' in m is
