Noise Reduction in Decibels Calculator

✖The Height of the Barrier Wall refers to the vertical distance from its base to its top edge.ⓘ Height of the Barrier Wall [h_w]			+10% -10%
✖The Wavelength of Sound Wave refers to the distance between successive points of identical phase, such as between two consecutive compressions or rarefactions.ⓘ Wavelength of Sound Wave [λ]			+10% -10%
✖The Horizontal Distance refers to the instantaneous distance cover by an object in a projectile motion horizontally.ⓘ Horizontal Distance [R]			+10% -10%

✖The Noise Reduction refers to the process of removing noise from a signal.ⓘ Noise Reduction in Decibels [N]

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Noise Reduction in Decibels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance))
N = 10*log10((20*h_w^2)/(λ*R))
This formula uses 1 Functions, 4 Variables

Functions Used

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., log10(Number)

Variables Used

Noise Reduction - (Measured in Decibel) - The Noise Reduction refers to the process of removing noise from a signal.
Height of the Barrier Wall - (Measured in Meter) - The Height of the Barrier Wall refers to the vertical distance from its base to its top edge.
Wavelength of Sound Wave - (Measured in Meter) - The Wavelength of Sound Wave refers to the distance between successive points of identical phase, such as between two consecutive compressions or rarefactions.
Horizontal Distance - (Measured in Meter) - The Horizontal Distance refers to the instantaneous distance cover by an object in a projectile motion horizontally.

STEP 1: Convert Input(s) to Base Unit

Height of the Barrier Wall: 3.1 Meter --> 3.1 Meter No Conversion Required
Wavelength of Sound Wave: 0.6 Meter --> 0.6 Meter No Conversion Required
Horizontal Distance: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = 10*log10((20*h_w^2)/(λ*R)) --> 10*log10((20*3.1^2)/(0.6*1.01))

Evaluating ... ...

N = 25.0128075916624

STEP 3: Convert Result to Output's Unit

25.0128075916624 Decibel --> No Conversion Required

FINAL ANSWER

25.0128075916624 ≈ 25.01281 Decibel <-- Noise Reduction

(Calculation completed in 00.004 seconds)

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Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 500+ more calculators!

< Noise Abatement and Control Calculators

Height of Barrier Wall given Noise Reduction in Decibels

LaTeX Go Height of the Barrier Wall = sqrt(((Wavelength of Sound Wave*Horizontal Distance)/20)*10^(Noise Reduction/10))

Noise Reduction in Decibels

LaTeX Go Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance))

Distance between Source and Barrier given Noise Reduction in Decibels

LaTeX Go Horizontal Distance = (20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*10^(Noise Reduction/10))

Wavelength of Sound given Noise Reduction in Decibels

LaTeX Go Wavelength of Sound Wave = (20*Height of the Barrier Wall^2)/(Horizontal Distance*10^(Noise Reduction/10))

Noise Reduction in Decibels Formula

LaTeX Go

Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance))
N = 10*log10((20*h_w^2)/(λ*R))

What is Decibel?

The unit Decibel is used because a one-decibel difference in loudness between two sounds is the smallest difference detectable by human hearing.

How to Calculate Noise Reduction in Decibels?

Noise Reduction in Decibels calculator uses Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)) to calculate 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 calculate Noise Reduction in Decibels using this online calculator? To use this online calculator 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. Here is how the Noise Reduction in Decibels calculation can be explained with given input values -> 25.01281 = 10*log10((20*3.1^2)/(0.6*1.01)).

FAQ

What is Noise Reduction in Decibels?

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 and is represented as N = 10*log10((20*h_w^2)/(λ*R)) or Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)). The Height of the Barrier Wall refers to the vertical distance from its base to its top edge, The Wavelength of Sound Wave refers to the distance between successive points of identical phase, such as between two consecutive compressions or rarefactions & The Horizontal Distance refers to the instantaneous distance cover by an object in a projectile motion horizontally.

How to calculate Noise Reduction in Decibels?

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 is calculated using Noise Reduction = 10*log10((20*Height of the Barrier Wall^2)/(Wavelength of Sound Wave*Horizontal Distance)). To calculate Noise Reduction in Decibels, you need Height of the Barrier Wall (h_w), Wavelength of Sound Wave (λ) & Horizontal Distance (R). With our tool, you need to enter the respective value for Height of the Barrier Wall, Wavelength of Sound Wave & Horizontal Distance 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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