Sound Level in Decibels Calculator

✖Sound Pressure Level is the pressure level of a sound, measured in decibels.ⓘ Sound Pressure Level [dB]			+10% -10%
✖Standard Sound Pressure is the standard pressure level of sound measured in decibels.ⓘ Standard Sound Pressure [Q_o]			+10% -10%

✖Sound intensity level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value.ⓘ Sound Level in Decibels [β]

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Formula

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Sound Level in Decibels

Formula

`"β" = 10*log10("dB"/"Q"_{"o"})`

Example

`"10dB"=10*log10("850dB"/"85dB")`

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Sound Level in Decibels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure)
β = 10*log10(dB/Q_o)
This formula uses 1 Functions, 3 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

Sound intensity level - (Measured in Decibel) - Sound intensity level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value.
Sound Pressure Level - (Measured in Decibel) - Sound Pressure Level is the pressure level of a sound, measured in decibels.
Standard Sound Pressure - (Measured in Decibel) - Standard Sound Pressure is the standard pressure level of sound measured in decibels.

STEP 1: Convert Input(s) to Base Unit

Sound Pressure Level: 850 Decibel --> 850 Decibel No Conversion Required
Standard Sound Pressure: 85 Decibel --> 85 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = 10*log10(dB/Q_o) --> 10*log10(850/85)

Evaluating ... ...

β = 10

STEP 3: Convert Result to Output's Unit

10 Decibel --> No Conversion Required

FINAL ANSWER

10 Decibel <-- Sound intensity level

(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 600+ more calculators!

< 6 Levels of Noise Calculators

Sound Level in Decibels

Go Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure)

Sound Level in Bels

Go Sound Level in bels = log10(Sound Pressure Level/Standard Sound Pressure)

Standard Sound Pressure given Sound Level in Bels

Go Standard Sound Pressure = Sound Pressure Level/10^(Sound Level in bels)

Sound Pressure given Sound Level in Bels

Go Sound Pressure Level = Standard Sound Pressure*10^(Sound Level in bels)

Standard Sound Pressure given Sound Level in Decibels

Go Standard Sound Pressure = 10*Sound Pressure Level/(10^(Sound Level))

Sound Pressure given Sound Level in Decibels

Go Sound Pressure Level = (Standard Sound Pressure/10)*10^(Sound Level)

Sound Level in Decibels Formula

Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure)
β = 10*log10(dB/Q_o)

What is decibels?

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

How to Calculate Sound Level in Decibels?

Sound Level in Decibels calculator uses Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure) to calculate the Sound intensity level, The Sound Level in Decibels refers to various logarithmic measurements of audible vibrations. It is the measure of the effective pressure of a sound relative to a reference value. Sound intensity level is denoted by β symbol.

How to calculate Sound Level in Decibels using this online calculator? To use this online calculator for Sound Level in Decibels, enter Sound Pressure Level (dB) & Standard Sound Pressure (Q_o) and hit the calculate button. Here is how the Sound Level in Decibels calculation can be explained with given input values -> -5.314789 = 10*log10(850/85).

FAQ

What is Sound Level in Decibels?

The Sound Level in Decibels refers to various logarithmic measurements of audible vibrations. It is the measure of the effective pressure of a sound relative to a reference value and is represented as β = 10*log10(dB/Q_o) or Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure). Sound Pressure Level is the pressure level of a sound, measured in decibels & Standard Sound Pressure is the standard pressure level of sound measured in decibels.

How to calculate Sound Level in Decibels?

The Sound Level in Decibels refers to various logarithmic measurements of audible vibrations. It is the measure of the effective pressure of a sound relative to a reference value is calculated using Sound intensity level = 10*log10(Sound Pressure Level/Standard Sound Pressure). To calculate Sound Level in Decibels, you need Sound Pressure Level (dB) & Standard Sound Pressure (Q_o). With our tool, you need to enter the respective value for Sound Pressure Level & Standard Sound Pressure 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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