Overall Standard Error Calculator

✖Standard Error e is dependent mainly on the sensitivity of the phase resolver and other electrical components.ⓘ Standard Error e [E_s]			+10% -10%
✖Distance Traveled defines how much path an object has covered to reach its destination in a given period.ⓘ Distance Traveled [D]			+10% -10%
✖Standard Error p is dependent on the accuracy of the modulation and on the accuracy of the value of the refractive index used.ⓘ Standard Error p [p]			+10% -10%

✖Overall standard error is the total error occurred while measuring distance using EDM.ⓘ Overall Standard Error [σ_D]

⎘ Copy

👎

Formula

✖

Overall Standard Error

Formula

`"σ"_{"D"} = sqrt("E"_{"s"}^2+("D"*"p"*10^-6)^2)`

Example

`"60"=sqrt(("60")^2+("50m"*"65"*10^-6)^2)`

Calculator

LaTeX

Reset

👍

Download Electromagnetic Distance Measurement Formulas PDF

Overall Standard Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2)
σ_D = sqrt(E_s^2+(D*p*10^-6)^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Overall Standard Error - Overall standard error is the total error occurred while measuring distance using EDM.
Standard Error e - Standard Error e is dependent mainly on the sensitivity of the phase resolver and other electrical components.
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
Standard Error p - Standard Error p is dependent on the accuracy of the modulation and on the accuracy of the value of the refractive index used.

STEP 1: Convert Input(s) to Base Unit

Standard Error e: 60 --> No Conversion Required
Distance Traveled: 50 Meter --> 50 Meter No Conversion Required
Standard Error p: 65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_D = sqrt(E_s^2+(D*p*10^-6)^2) --> sqrt(60^2+(50*65*10^-6)^2)

Evaluating ... ...

σ_D = 60.0000000880208

STEP 3: Convert Result to Output's Unit

60.0000000880208 --> No Conversion Required

FINAL ANSWER

60.0000000880208 ≈ 60 <-- Overall Standard Error

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Electromagnetic Distance Measurement » EDM Corrections » Overall Standard Error

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 11 EDM Corrections Calculators

Barometric Pressure given Group Refractive Index

Go Barometric Pressure = ((Group Refractive Index-1)+(((11.27*10^-6*Partial Pressure of Water Vapour)/(273.15+Temperature in Celsius))))*((273.15+Temperature in Celsius)/(0.269578*(Group Refractive Index for Standard Condition-1)))

Group Refractive Index if Temperature and Humidity are different from Standard Values

Go Group Refractive Index = 1+((0.269578*(Group Refractive Index for Standard Condition-1)*Barometric Pressure)/(273.15+Temperature in Celsius))-((11.27/(273.15+Temperature in Celsius))*10^-6*Partial Pressure of Water Vapour)

IUCG Formula for Refractive Index

Go Group Refractive Index = 1+(0.000077624*Barometric Pressure/(273.15+Temperature in Celsius))-(((12.924/(273.15+Temperature in Celsius))+(371900/(273.15+Temperature in Celsius)^2))*10^-6*Partial Pressure of Water Vapour)

Essen and Froome Formula for Group Refractive Index

Go Group Refractive Index = 1+(77.624*Barometric Pressure*10^-6/(273.15+Temperature in Celsius))+((0.372/(273.15+Temperature in Celsius)^2)-(12.92*10^-6/(273.15+Temperature in Celsius)))*Partial Pressure of Water Vapour

Overall Standard Error

Go Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2)

Corrected Slope Distance for Refractive Index

Go Corrected Slope = (Standard Refractive Index/Refractive Index)*Measured Distance

Group Refractive Index at Standard Conditions

Go Group Refractive Index for Standard Condition = 1+(287.604+(4.8864/Wavelength^2)+(0.068/Wavelength^4))*10^-6

Temperature Difference given Partial Pressure

Go Temperature Change = (Saturated Vapor Pressure of Water-Partial Pressure of Water Vapour)/0.7

Partial Pressure of Water Vapour when Temperature Effects are Considered

Go Partial Pressure of Water Vapour = Saturated Vapor Pressure of Water-0.7*Temperature Change

Wave Velocity in Medium

Go Wave Velocity = Velocity in Vacuum/Refractive Index

Wave Velocity in Vacuum

Go Velocity in Vacuum = Wave Velocity*Refractive Index

Overall Standard Error Formula

Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2)
σ_D = sqrt(E_s^2+(D*p*10^-6)^2)

What causes the Overall Standard Error in EMD?

Several factors can contribute to the Overall Standard Error in EMD, including measurement noise, signal distortion, instrument sensitivity, and variability in the physical properties of the device being measured.

How to Calculate Overall Standard Error?

Overall Standard Error calculator uses Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2) to calculate the Overall Standard Error, The Overall Standard Error formula is defined as the total error that occurred when the distance is measured using EDM (Electromagnetic Distance Measurement). Overall Standard Error is denoted by σ_D symbol.

How to calculate Overall Standard Error using this online calculator? To use this online calculator for Overall Standard Error, enter Standard Error e (E_s), Distance Traveled (D) & Standard Error p (p) and hit the calculate button. Here is how the Overall Standard Error calculation can be explained with given input values -> 60 = sqrt(60^2+(50*65*10^-6)^2).

FAQ

What is Overall Standard Error?

The Overall Standard Error formula is defined as the total error that occurred when the distance is measured using EDM (Electromagnetic Distance Measurement) and is represented as σ_D = sqrt(E_s^2+(D*p*10^-6)^2) or Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2). Standard Error e is dependent mainly on the sensitivity of the phase resolver and other electrical components, Distance Traveled defines how much path an object has covered to reach its destination in a given period & Standard Error p is dependent on the accuracy of the modulation and on the accuracy of the value of the refractive index used.

How to calculate Overall Standard Error?

The Overall Standard Error formula is defined as the total error that occurred when the distance is measured using EDM (Electromagnetic Distance Measurement) is calculated using Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2). To calculate Overall Standard Error, you need Standard Error e (E_s), Distance Traveled (D) & Standard Error p (p). With our tool, you need to enter the respective value for Standard Error e, Distance Traveled & Standard Error p and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search