Correction to Northing in Transit Rule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings
e = 0.5*el/r*n/Ʃn
This formula uses 4 Variables
Variables Used
Closing Error - (Measured in Meter) - Closing Error is the error formed during traverse surveying.
Error in Latitude - (Measured in Meter) - Error in latitude is the error occurred either in measurement or noting while surveying.
Northing - (Measured in Meter) - Northing is the latitude distance measured to north side.
Sum of Northings - (Measured in Meter) - Sum of Northings is the algebraic sum of all the distance of latitudes measured to north side.
STEP 1: Convert Input(s) to Base Unit
Error in Latitude: 49 Meter --> 49 Meter No Conversion Required
Northing: 100 Meter --> 100 Meter No Conversion Required
Sum of Northings: 48 Meter --> 48 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = 0.5*el/r*n/Ʃn --> 0.5*49*100/48
Evaluating ... ...
e = 51.0416666666667
STEP 3: Convert Result to Output's Unit
51.0416666666667 Meter --> No Conversion Required
FINAL ANSWER
51.0416666666667 51.04167 Meter <-- Closing Error
(Calculation completed in 00.004 seconds)

Credits

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

Total Error in Latitude if Correction is Known from Bowditch Rule
Go Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line
Correction to Latitude by Bowditch Rule
Go Correction to Latitude = Error in Latitude*Latitude of Line/Perimeter of Traverse
Correction of Latitude by Transit Rule
Go Correction to Latitude = Error in Latitude*Latitude of Line/Sum of Latitudes
Correction to Second Bearing for given Closing Error
Go Correction to Second Bearing = (2*Closing Error/Number of Sides)*(pi/180)
Correction to First Bearing for given Closing Error
Go Correction to First Bearing = (Closing Error/Number of Sides)*(pi/180)
Correction to Northing in Transit Rule
Go Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings
Sum of Departures given Closing Error
Go Sum of Departures = sqrt(Closing Error^2-Sum of Latitudes^2)
Sum of Latitudes given Closing Error
Go Sum of Latitudes = sqrt(Closing Error^2-Sum of Departures^2)
Closing Error in Traversing
Go Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
Sum of Latitudes given Direction of Closing Error
Go Sum of Latitudes = Sum of Departures/Direction of Closing Error
Sum of Departure given Direction of Closing Error
Go Sum of Departures = Direction of Closing Error*Sum of Latitudes
Direction of Closing Error in Traversing
Go Direction of Closing Error = Sum of Departures/Sum of Latitudes

Correction to Northing in Transit Rule Formula

Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings
e = 0.5*el/r*n/Ʃn

What is the Important thing to note between Bowditch Rule and Transit Rule?

When the adjustment is made by the Bowditch rule, the length of the sides become less and the angles become more than that when the adjustment is made by the transit rule.

How to Calculate Correction to Northing in Transit Rule?

Correction to Northing in Transit Rule calculator uses Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings to calculate the Closing Error, The Correction to Northing in Transit Rule is defined when the corrections are applied to each direction separately. The equation above can be used for southing, easting and westing as well. Closing Error is denoted by e symbol.

How to calculate Correction to Northing in Transit Rule using this online calculator? To use this online calculator for Correction to Northing in Transit Rule, enter Error in Latitude (el/r), Northing (n) & Sum of Northings (Ʃn) and hit the calculate button. Here is how the Correction to Northing in Transit Rule calculation can be explained with given input values -> 51.04167 = 0.5*49*100/48.

FAQ

What is Correction to Northing in Transit Rule?
The Correction to Northing in Transit Rule is defined when the corrections are applied to each direction separately. The equation above can be used for southing, easting and westing as well and is represented as e = 0.5*el/r*n/Ʃn or Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings. Error in latitude is the error occurred either in measurement or noting while surveying, Northing is the latitude distance measured to north side & Sum of Northings is the algebraic sum of all the distance of latitudes measured to north side.
How to calculate Correction to Northing in Transit Rule?
The Correction to Northing in Transit Rule is defined when the corrections are applied to each direction separately. The equation above can be used for southing, easting and westing as well is calculated using Closing Error = 0.5*Error in Latitude*Northing/Sum of Northings. To calculate Correction to Northing in Transit Rule, you need Error in Latitude (el/r), Northing (n) & Sum of Northings (Ʃn). With our tool, you need to enter the respective value for Error in Latitude, Northing & Sum of Northings and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Closing Error?
In this formula, Closing Error uses Error in Latitude, Northing & Sum of Northings. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Closing Error = sqrt(Sum of Latitudes^2+Sum of Departures^2)
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