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]

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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)

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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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Overall Standard Error Formula

LaTeX Go

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.

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