Total Error in Latitude if Correction is Known from Bowditch Rule Calculator

✖Correction to Latitude is the improvement given to the latitude distance.ⓘ Correction to Latitude [c_l/r]			+10% -10%
✖Perimeter of Traverse is the sum of the lengths of lines which is used for traversing.ⓘ Perimeter of Traverse [P]			+10% -10%
✖Latitude of Line is the projection of the specific line in north-south direction.ⓘ Latitude of Line [L]			+10% -10%

✖Error in latitude is the error occurred either in measurement or noting while surveying.ⓘ Total Error in Latitude if Correction is Known from Bowditch Rule [e_l/r]

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Formula

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Total Error in Latitude if Correction is Known from Bowditch Rule

Formula

`"e"_{"l/r"} = "c"_{"l/r"}*"P"/"L"`

Example

`"48.875m"="11.5m"*"85m"/"20m"`

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Total Error in Latitude if Correction is Known from Bowditch Rule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line
e_l/r = c_l/r*P/L
This formula uses 4 Variables

Variables Used

Error in Latitude - (Measured in Meter) - Error in latitude is the error occurred either in measurement or noting while surveying.
Correction to Latitude - (Measured in Meter) - Correction to Latitude is the improvement given to the latitude distance.
Perimeter of Traverse - (Measured in Meter) - Perimeter of Traverse is the sum of the lengths of lines which is used for traversing.
Latitude of Line - (Measured in Meter) - Latitude of Line is the projection of the specific line in north-south direction.

STEP 1: Convert Input(s) to Base Unit

Correction to Latitude: 11.5 Meter --> 11.5 Meter No Conversion Required
Perimeter of Traverse: 85 Meter --> 85 Meter No Conversion Required
Latitude of Line: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_l/r = c_l/r*P/L --> 11.5*85/20

Evaluating ... ...

e_l/r = 48.875

STEP 3: Convert Result to Output's Unit

48.875 Meter --> No Conversion Required

FINAL ANSWER

48.875 Meter <-- Error in Latitude

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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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

Total Error in Latitude if Correction is Known from Bowditch Rule Formula

Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line
e_l/r = c_l/r*P/L

What is Bowditch Rule?

It is used to balance a traverse when the linear and angular measurements are equally precise. It is assumed that the errors in the linear measurements are proportional to sqrt(l), where l is the length of the line, and those in the angular measurements are inversely proportional to sqrt(l), which is questionable.
If equal weights are assigned to linear and angular measurements, the errors and hence the corrections are proportional to the lengths of the lines.

How to Calculate Total Error in Latitude if Correction is Known from Bowditch Rule?

Total Error in Latitude if Correction is Known from Bowditch Rule calculator uses Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line to calculate the Error in Latitude, The Total Error in Latitude if Correction is Known from Bowditch Rule is defined as the all together error occurred on the specific latitude line. Error in Latitude is denoted by e_l/r symbol.

How to calculate Total Error in Latitude if Correction is Known from Bowditch Rule using this online calculator? To use this online calculator for Total Error in Latitude if Correction is Known from Bowditch Rule, enter Correction to Latitude (c_l/r), Perimeter of Traverse (P) & Latitude of Line (L) and hit the calculate button. Here is how the Total Error in Latitude if Correction is Known from Bowditch Rule calculation can be explained with given input values -> 104.125 = 11.5*85/20.

FAQ

What is Total Error in Latitude if Correction is Known from Bowditch Rule?

The Total Error in Latitude if Correction is Known from Bowditch Rule is defined as the all together error occurred on the specific latitude line and is represented as e_l/r = c_l/r*P/L or Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line. Correction to Latitude is the improvement given to the latitude distance, Perimeter of Traverse is the sum of the lengths of lines which is used for traversing & Latitude of Line is the projection of the specific line in north-south direction.

How to calculate Total Error in Latitude if Correction is Known from Bowditch Rule?

The Total Error in Latitude if Correction is Known from Bowditch Rule is defined as the all together error occurred on the specific latitude line is calculated using Error in Latitude = Correction to Latitude*Perimeter of Traverse/Latitude of Line. To calculate Total Error in Latitude if Correction is Known from Bowditch Rule, you need Correction to Latitude (c_l/r), Perimeter of Traverse (P) & Latitude of Line (L). With our tool, you need to enter the respective value for Correction to Latitude, Perimeter of Traverse & Latitude of Line 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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