Relative Limiting Error Calculator

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Instrument Error Measurement Instrument Characteristics Instrument Dimensions

✖Actual Value refers to the exact or correct value of a quantity that is generally agreed upon as accurate and used as a standard for comparison.ⓘ Actual Value [A_o]			+10% -10%
✖Nominal Value is the stated or measured value of a quantity. It represents the central or most likely value obtained through measurement.ⓘ Nominal Value [A_s]			+10% -10%

✖Relative Limiting Error describes the maximum allowable deviation between a measured value and the true value, expressed as a fraction or percentage of the true value.ⓘ Relative Limiting Error [ε_rl]

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Relative Limiting Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
ε_rl = (A_o-A_s)/A_s
This formula uses 3 Variables

Variables Used

Relative Limiting Error - Relative Limiting Error describes the maximum allowable deviation between a measured value and the true value, expressed as a fraction or percentage of the true value.
Actual Value - Actual Value refers to the exact or correct value of a quantity that is generally agreed upon as accurate and used as a standard for comparison.
Nominal Value - Nominal Value is the stated or measured value of a quantity. It represents the central or most likely value obtained through measurement.

STEP 1: Convert Input(s) to Base Unit

Actual Value: 2 --> No Conversion Required
Nominal Value: 0.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_rl = (A_o-A_s)/A_s --> (2-0.33)/0.33

Evaluating ... ...

ε_rl = 5.06060606060606

STEP 3: Convert Result to Output's Unit

5.06060606060606 --> No Conversion Required

FINAL ANSWER

5.06060606060606 ≈ 5.060606 <-- Relative Limiting Error

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Instrument Error Measurement Calculators

Absolute Static Error of Quantity

LaTeX Go Absolute Value = True Value*Relative Static Error

Measured Value of quantity

LaTeX Go Measured Value Output = Absolute Value+True Value

True Value of Quantity

LaTeX Go True Value = Absolute Value/Relative Static Error

Relative Static Error

LaTeX Go Relative Static Error = Absolute Value/True Value

Relative Limiting Error Formula

LaTeX Go

Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
ε_rl = (A_o-A_s)/A_s

What are the types of errors?

Errors in measurements are broadly categorized into three types: systematic errors, random errors, and blunders. Systematic errors stem from identifiable causes and can be corrected with proper calibration or adjustment. Random errors result from unpredictable fluctuations in measurement conditions and can be minimized through statistical analysis and replication of experiments. Blunders arise from human mistakes or equipment malfunctions and are typically identified through careful review and validation processes.

How to Calculate Relative Limiting Error?

Relative Limiting Error calculator uses Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value to calculate the Relative Limiting Error, The Relative Limiting Error formula is defined as a measure used to quantify the uncertainty or error associated with a measurement, particularly in comparison to the nominal value of the quantity being measured. Relative Limiting Error is denoted by ε_rl symbol.

How to calculate Relative Limiting Error using this online calculator? To use this online calculator for Relative Limiting Error, enter Actual Value (A_o) & Nominal Value (A_s) and hit the calculate button. Here is how the Relative Limiting Error calculation can be explained with given input values -> 6.575758 = (2-0.33)/0.33.

FAQ

What is Relative Limiting Error?

The Relative Limiting Error formula is defined as a measure used to quantify the uncertainty or error associated with a measurement, particularly in comparison to the nominal value of the quantity being measured and is represented as ε_rl = (A_o-A_s)/A_s or Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value. Actual Value refers to the exact or correct value of a quantity that is generally agreed upon as accurate and used as a standard for comparison & Nominal Value is the stated or measured value of a quantity. It represents the central or most likely value obtained through measurement.

How to calculate Relative Limiting Error?

The Relative Limiting Error formula is defined as a measure used to quantify the uncertainty or error associated with a measurement, particularly in comparison to the nominal value of the quantity being measured is calculated using Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value. To calculate Relative Limiting Error, you need Actual Value (A_o) & Nominal Value (A_s). With our tool, you need to enter the respective value for Actual Value & Nominal Value 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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