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Curvature correction to a staff reading in a differential levelling survey is
- a)Always subtractive
- b)Always zero
- c)Always additive
- d)Dependent on latitude
Correct answer is option 'A'. Can you explain this answer?
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Curvature correction to a staff reading in a differential levelling su...
Curvature:
The dumpy level provides a horizontal line of sight and the line of sight is not a level line.
The curvature makes the apparent staff reading more and the object appears lower than its real level on the ground.
Hence the curvature correction (Cc) is negative and applied to staff reading.
Most Upvoted Answer
Curvature correction to a staff reading in a differential levelling su...
Curvature Correction in Differential Levelling Survey
Curvature correction is applied in differential levelling surveys to account for the curvature of the Earth's surface. The correction is necessary because the level surface is tangential to the surface of the Earth at the point of measurement, and the Earth is not a perfect sphere.
Subtractive Correction
The curvature correction is subtractive when the line of sight is below the level of the instrument. In this case, the correction is subtracted from the staff reading to obtain the true height of the point being measured.
Additive Correction
The curvature correction is additive when the line of sight is above the level of the instrument. In this case, the correction is added to the staff reading to obtain the true height of the point being measured.
Zero Correction
There are instances where the curvature correction is zero, such as when the line of sight is horizontal or when the point being measured is at the same elevation as the instrument.
Dependence on Latitude
The curvature correction is dependent on the latitude of the measurement. At the equator, the correction is zero, and it increases as the latitude increases. The correction reaches a maximum at the poles.
Conclusion
In conclusion, the curvature correction to a staff reading in a differential levelling survey is subtractive when the line of sight is below the level of the instrument. The correction is dependent on the latitude of the measurement and is zero at the equator.
Curvature correction is applied in differential levelling surveys to account for the curvature of the Earth's surface. The correction is necessary because the level surface is tangential to the surface of the Earth at the point of measurement, and the Earth is not a perfect sphere.
Subtractive Correction
The curvature correction is subtractive when the line of sight is below the level of the instrument. In this case, the correction is subtracted from the staff reading to obtain the true height of the point being measured.
Additive Correction
The curvature correction is additive when the line of sight is above the level of the instrument. In this case, the correction is added to the staff reading to obtain the true height of the point being measured.
Zero Correction
There are instances where the curvature correction is zero, such as when the line of sight is horizontal or when the point being measured is at the same elevation as the instrument.
Dependence on Latitude
The curvature correction is dependent on the latitude of the measurement. At the equator, the correction is zero, and it increases as the latitude increases. The correction reaches a maximum at the poles.
Conclusion
In conclusion, the curvature correction to a staff reading in a differential levelling survey is subtractive when the line of sight is below the level of the instrument. The correction is dependent on the latitude of the measurement and is zero at the equator.
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