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If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing?
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If sum northing of a traverse exceeds the sum of South in by 1 metre a...
Explanation:
Traverse is a series of connected lines or a closed loop which is used to determine the positions of points on the ground. The sum of northing and southing and the sum of easting and westing are important parameters to check the accuracy of traverse.
Closing Error:
Closing error is the difference between the last observed position and the known position. If the traverse is closed, there should be no closing error. In this case, the sum of northing exceeds the sum of southing by 1 metre and the sum of easting exceeds the sum of westing by 1 metre. This means that there is a closing error of 1 metre.
Bearing:
True bearing is the angle between the north-south line and the line joining the two points. It is measured in degrees clockwise from the north. The true bearing can be calculated using trigonometry.
Calculation:
Let the sum of northing be N, the sum of southing be S, the sum of easting be E and the sum of westing be W.
- Closing error = (N-S) + (E-W) = 1 metre
- True bearing = tan-1[(E-W)/(N-S)]
By substituting the values, the true bearing can be calculated.
Conclusion:
In conclusion, if the sum of northing and southing and the sum of easting and westing are not equal, there is a closing error in the traverse. The true bearing can be calculated using trigonometry. It is important to check the accuracy of traverse to ensure that the positions of points on the ground are determined accurately.
Traverse is a series of connected lines or a closed loop which is used to determine the positions of points on the ground. The sum of northing and southing and the sum of easting and westing are important parameters to check the accuracy of traverse.
Closing Error:
Closing error is the difference between the last observed position and the known position. If the traverse is closed, there should be no closing error. In this case, the sum of northing exceeds the sum of southing by 1 metre and the sum of easting exceeds the sum of westing by 1 metre. This means that there is a closing error of 1 metre.
Bearing:
True bearing is the angle between the north-south line and the line joining the two points. It is measured in degrees clockwise from the north. The true bearing can be calculated using trigonometry.
Calculation:
Let the sum of northing be N, the sum of southing be S, the sum of easting be E and the sum of westing be W.
- Closing error = (N-S) + (E-W) = 1 metre
- True bearing = tan-1[(E-W)/(N-S)]
By substituting the values, the true bearing can be calculated.
Conclusion:
In conclusion, if the sum of northing and southing and the sum of easting and westing are not equal, there is a closing error in the traverse. The true bearing can be calculated using trigonometry. It is important to check the accuracy of traverse to ensure that the positions of points on the ground are determined accurately.
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If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing?
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If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing?.
If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum northing of a traverse exceeds the sum of South in by 1 metre and sum of easting exceeds the sum of westing by one metre the resultant closing error and it is true bearing?.
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