Correction to First Bearing for given Closing Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)
cb = (e/NSides)*(pi/180)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Correction to First Bearing - (Measured in Radian) - Correction to First Bearing is the correction given to improve the closing error in a bearing.
Closing Error - (Measured in Meter) - Closing Error is the error formed during traverse surveying.
Number of Sides - The number of sides is used to classify the polygons.
STEP 1: Convert Input(s) to Base Unit
Closing Error: 50 Meter --> 50 Meter No Conversion Required
Number of Sides: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cb = (e/NSides)*(pi/180) --> (50/2)*(pi/180)
Evaluating ... ...
cb = 0.436332312998582
STEP 3: Convert Result to Output's Unit
0.436332312998582 Radian -->25.0000000000047 Degree (Check conversion ​here)
FINAL ANSWER
25.0000000000047 25 Degree <-- Correction to First Bearing
(Calculation completed in 00.004 seconds)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Traversing Calculators

Sum of Latitudes given Closing Error
​ LaTeX ​ Go Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)
Closing Error in Traversing
​ LaTeX ​ Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
Sum of Latitudes given Direction of Closing Error
​ LaTeX ​ Go Sum of Latitudes = Sum of Departures/Direction of Closing Error
Direction of Closing Error in Traversing
​ LaTeX ​ Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Correction to First Bearing for given Closing Error Formula

​LaTeX ​Go
Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)
cb = (e/NSides)*(pi/180)

What are Graphical methods to Adjust Closing Error?

In case where the closing error needs to be adjusted, a graphical adjustment is made. There are two methods, the proportionate method and the axis correction method. Proportionate method- This method of adjustment, known to be proportionate method, is based on Bowditch rule and is used when traversing with compass. Axis correction method- This method of graphical adjustment of closing error is preferred when angles are measured very precisely, e.g., in theodolite traversing. In this method, the lines are kept parallel to originally plotted traverse lines, and in the process there lengths get altered.

How to Calculate Correction to First Bearing for given Closing Error?

Correction to First Bearing for given Closing Error calculator uses Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180) to calculate the Correction to First Bearing, The Correction to First Bearing for given Closing Error is defined as the correction against the closing error of a bearing. Here the closing error is refers to the error happened on a bearing hence it is in degree. Correction to First Bearing is denoted by cb symbol.

How to calculate Correction to First Bearing for given Closing Error using this online calculator? To use this online calculator for Correction to First Bearing for given Closing Error, enter Closing Error (e) & Number of Sides (NSides) and hit the calculate button. Here is how the Correction to First Bearing for given Closing Error calculation can be explained with given input values -> 1432.394 = (50/2)*(pi/180).

FAQ

What is Correction to First Bearing for given Closing Error?
The Correction to First Bearing for given Closing Error is defined as the correction against the closing error of a bearing. Here the closing error is refers to the error happened on a bearing hence it is in degree and is represented as cb = (e/NSides)*(pi/180) or Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180). Closing Error is the error formed during traverse surveying & The number of sides is used to classify the polygons.
How to calculate Correction to First Bearing for given Closing Error?
The Correction to First Bearing for given Closing Error is defined as the correction against the closing error of a bearing. Here the closing error is refers to the error happened on a bearing hence it is in degree is calculated using Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180). To calculate Correction to First Bearing for given Closing Error, you need Closing Error (e) & Number of Sides (NSides). With our tool, you need to enter the respective value for Closing Error & Number of Sides and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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