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Noise Reduction in Decibels Formula

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The Noise Reduction refers to the process of removing noise from a signal. Check FAQs

N = 10 \cdot \log 10 (\frac{20 \cdot {h w}^{2}}{λ \cdot R})

N - Noise Reduction?h_w - Height of the Barrier Wall?λ - Wavelength of Sound Wave?R - Horizontal Distance?

Noise Reduction in Decibels Example

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Here is how the Noise Reduction in Decibels equation looks like with Values.

Here is how the Noise Reduction in Decibels equation looks like with Units.

Here is how the Noise Reduction in Decibels equation looks like.

25.0128 = 10 \cdot \log 10 (\frac{20 \cdot {3.1}^{2}}{0.6 \cdot 1.01})

25.0128dB = 10 \cdot \log 10 (\frac{20 \cdot {3.1m}^{2}}{0.6m \cdot 1.01m})

25.0128 = 10 \cdot \log 10 (\frac{20 \cdot {3.1}^{2}}{0.6 \cdot 1.01})

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Noise Reduction in Decibels Solution

Follow our step by step solution on how to calculate Noise Reduction in Decibels?

FIRST Step Consider the formula

N = 10 \cdot \log 10 (\frac{20 \cdot {h w}^{2}}{λ \cdot R})

Next Step Substitute values of Variables

∴

N = 10 \cdot \log 10 (\frac{20 \cdot {3.1m}^{2}}{0.6m \cdot 1.01m})

Next Step Prepare to Evaluate

∴

N = 10 \cdot \log 10 (\frac{20 \cdot {3.1}^{2}}{0.6 \cdot 1.01})

Next Step Evaluate

∴

N = 25.0128075916624dB

LAST Step Rounding Answer

∴

N = 25.0128dB

Noise Reduction in Decibels Formula Elements

Variables

Functions

Noise Reduction

The Noise Reduction refers to the process of removing noise from a signal.

Symbol: N

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Noise Reduction

Height of the Barrier Wall

The Height of the Barrier Wall refers to the vertical distance from its base to its top edge.

Symbol: h_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of the Barrier Wall

Wavelength of Sound Wave

The Wavelength of Sound Wave refers to the distance between successive points of identical phase, such as between two consecutive compressions or rarefactions.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength of Sound Wave

Horizontal Distance

The Horizontal Distance refers to the instantaneous distance cover by an object in a projectile motion horizontally.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other formulas in Noise Abatement and Control category

Go Height of Barrier Wall given Noise Reduction in Decibels

h w = \sqrt{(\frac{λ \cdot R}{20}) \cdot 10^{\frac{N}{10}}}

Go Wavelength of Sound given Noise Reduction in Decibels

λ = \frac{20 \cdot {h w}^{2}}{R \cdot 10^{\frac{N}{10}}}

Go Distance between Source and Barrier given Noise Reduction in Decibels

R = \frac{20 \cdot {h w}^{2}}{λ \cdot 10^{\frac{N}{10}}}

How to Evaluate Noise Reduction in Decibels?

Noise Reduction in Decibels evaluator uses Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)) to evaluate the Noise Reduction, The Noise Reduction in Decibels formula is defined as the measure of the decrease in sound intensity, quantified on a logarithmic scale, achieved through soundproofing or noise control methods. Noise Reduction is denoted by N symbol.

How to evaluate Noise Reduction in Decibels using this online evaluator? To use this online evaluator for Noise Reduction in Decibels, enter Height of the Barrier Wall (h_w), Wavelength of Sound Wave (λ) & Horizontal Distance (R) and hit the calculate button.

FAQs on Noise Reduction in Decibels

What is the formula to find Noise Reduction in Decibels?

The formula of Noise Reduction in Decibels is expressed as Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)). Here is an example- 25.01281 = 10*log10((20*3.1^2)/(0.6*1.01)).

How to calculate Noise Reduction in Decibels?

With Height of the Barrier Wall (h_w), Wavelength of Sound Wave (λ) & Horizontal Distance (R) we can find Noise Reduction in Decibels using the formula - Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)). This formula also uses Common Logarithm Function function(s).

Can the Noise Reduction in Decibels be negative?

No, the Noise Reduction in Decibels, measured in Sound cannot be negative.

Which unit is used to measure Noise Reduction in Decibels?

Noise Reduction in Decibels is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Noise Reduction in Decibels can be measured.

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Noise Reduction in Decibels Formula

Noise Reduction in Decibels Example

Noise Reduction in Decibels Solution

Noise Reduction in Decibels Formula Elements

Other formulas in Noise Abatement and Control category

How to Evaluate Noise Reduction in Decibels?

FAQs on Noise Reduction in Decibels

Variable Name