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

✖Noise reduction is the process of removing noise from a signal.ⓘ Noise Reduction in Decibels [N]

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Formula

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Noise Reduction in Decibels

Formula

`"N" = 10*log10((20*"h"_{"w"}^2)/("λ"*"R"))`

Example

`"25.01281dB"=10*log10((20*("3.1m")^2)/("0.6m"*"1.01m"))`

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

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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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 4 Noise Abatement and Control Calculators

Height of Barrier Wall given Noise Reduction in Decibels

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

Noise Reduction in Decibels

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

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

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

Noise Reduction in Decibels Formula

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 is 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 is 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 is the vertical distance from its base to its top edge, The wavelength of sound wave is the distance between successive points of identical phase, such as between two consecutive compressions or rarefactions & Horizontal Distance is the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Noise Reduction in Decibels?

The Noise Reduction in Decibels is 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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