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Relative Limiting Error Formula

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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. Check FAQs

ε rl = \frac{A o - A s}{A s}

ε_rl - Relative Limiting Error?A_o - Actual Value?A_s - Nominal Value?

Relative Limiting Error Example

With values

With units

Only example

Here is how the Relative Limiting Error equation looks like with Values.

Here is how the Relative Limiting Error equation looks like with Units.

Here is how the Relative Limiting Error equation looks like.

5.0606 = \frac{2 - 0.33}{0.33}

5.0606 = \frac{2 - 0.33}{0.33}

5.0606 = \frac{2 - 0.33}{0.33}

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Relative Limiting Error Solution

Follow our step by step solution on how to calculate Relative Limiting Error?

FIRST Step Consider the formula

ε rl = \frac{A o - A s}{A s}

Next Step Substitute values of Variables

∴

ε rl = \frac{2 - 0.33}{0.33}

Next Step Prepare to Evaluate

∴

ε rl = \frac{2 - 0.33}{0.33}

Next Step Evaluate

∴

ε rl = 5.06060606060606

LAST Step Rounding Answer

∴

ε rl = 5.0606

Relative Limiting Error Formula Elements

Variables

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.

Symbol: ε_rl

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Limiting Error

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.

Symbol: A_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Actual Value

Nominal Value

Nominal Value is the stated or measured value of a quantity. It represents the central or most likely value obtained through measurement.

Symbol: A_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nominal Value

Other formulas in Instrument Error Measurement category

Go Relative Static Error

ε rs = \frac{δA}{X E}

Go True Value of Quantity

X E = \frac{δA}{ε rs}

Go Absolute Static Error of Quantity

δA = X E \cdot ε rs

Go Measured Value of quantity

M = δA + X E

How to Evaluate Relative Limiting Error?

Relative Limiting Error evaluator uses Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value to evaluate 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 evaluate Relative Limiting Error using this online evaluator? To use this online evaluator for Relative Limiting Error, enter Actual Value (A_o) & Nominal Value (A_s) and hit the calculate button.

FAQs on Relative Limiting Error

What is the formula to find Relative Limiting Error?

The formula of Relative Limiting Error is expressed as Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value. Here is an example- 6.575758 = (2-0.33)/0.33.

How to calculate Relative Limiting Error?

With Actual Value (A_o) & Nominal Value (A_s) we can find Relative Limiting Error using the formula - Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value.

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Relative Limiting Error Formula

Relative Limiting Error Example

Relative Limiting Error Solution

Relative Limiting Error Formula Elements

Other formulas in Instrument Error Measurement category

How to Evaluate Relative Limiting Error?

FAQs on Relative Limiting Error

Variable Name