Pretend for a moment you are Albert Einstein in You are working diligently on your soon-to-be five famous papers. Your ideas are about to turn the physics world on its head. In your papers you introduce the world for the first time to light quanta, later to be renamed photons.

You propose a mathematical way to determine the size of atoms when their very existence was still in question. You provide an explanation for Brownian motion: that microscopic materials are moving in liquids because they are being bombarded by millions of molecules.

In Einstein achieved more in one year than most physicists achieve in a lifetime. Years later he would rise to his pinnacle by giving the world a better understanding of gravity in his general theory of relativity.

With all this great achievement, Einstein was plagued with an insecurity. When it comes to sound pressure our intention is not to let you suffer with the same math insecurities Einstein had. We want to make it easy for you to become a sound pressure mathematical genius.

Below you find sound pressure math explained in an easy-to-learn fashion that will make you an authority on sound pressure math. Imagine if someone had laid out tensor calculus for Einstein this way. He may have finished his theory of relativity years earlier. Now let us dive into the wonderful world of pascals, decibels, and other units and see how they relate to sound.

When people talk of sound level, they usually refer to it in decibels. This may be when thinking about OSHA requirements, how loud a rock band is, jet engines, or town ordinances. So what are decibels? To answer that, let us first look at sound pressure. Sound is measured by changes in air pressure.

The louder a sound is, the larger the change in air pressure is. The change here is the change from normal atmospheric pressure to the pressure disturbance made by the sound. This change in pressure can be measured by handheld devices or computers with special microphones. Sound pressure is usually measured in pascals, which is an SI metric unit. A pascal symbol Pa is equal to a force of one newton per square meter.

For instance, a tire pressure of 35 pounds per square inch is equal to aboutpascals, or about kilopascals. The smallest sound pressure a human ear can hear is 20 micropascals 0.

Writing this is scientific notation is convenient: 2. Remember this number â€” we will use this later as a reference. As you can see, these numbers range from very small ones, with four zeroes after the decimal point, to numbers in the hundreds. To make working with this range of numbers more manageable, a special logarithmic scale has been devised.

To refresh your memory, a logarithm function is the inverse of the exponent function.

## Sound Pressure Level Calculator

Examples of exponents are:. The decibel was named in honor of the famous scientist Alexander Graham Bell When measuring sound, we use the following logarithmic formula to determine the sound pressure level SPL in decibels. For example, if we measure a sound pressure of 0. So a pressure change of 0. In case you do not want to do the math on all of our examples above, here is that same table, now including sound pressure level. As you can see, we now have a range of numbers that seems more convenient â€” from 10 to â€” instead of a range from a very, very, small number to a number in the hundreds.Sound pressure or acoustic pressure is the local pressure deviation from the ambient average or equilibrium atmospheric pressurecaused by a sound wave.

In air, sound pressure can be measured using a microphoneand in water with a hydrophone. The SI unit of sound pressure is the pascal Pa. A sound wave in a transmission medium causes a deviation sound pressure, a dynamic pressure in the local ambient pressure, a static pressure. In a sound wave, the complementary variable to sound pressure is the particle velocity. Together, they determine the sound intensity of the wave. The particle displacement of a progressive sine wave is given by.

It follows that the particle velocity and the sound pressure along the direction of propagation of the sound wave x are given by. Consequently, the amplitude of the particle displacement is related to that of the acoustic velocity and the sound pressure by. If the sound pressure p 1 is measured at a distance r 1 from the centre of the sphere, the sound pressure p 2 at another position r 2 can be calculated:.

The inverse-proportional law for sound pressure comes from the inverse-square law for sound intensity:. The sound pressure may vary in direction from the centre of the sphere as well, so measurements at different angles may be necessary, depending on the situation.

An obvious example of a sound source whose spherical sound wave varies in level in different directions is a bullhorn. Sound pressure level SPL or acoustic pressure level is a logarithmic measure of the effective pressure of a sound relative to a reference value.

Sound pressure level, denoted L p and measured in dBis defined by [4].

**Convert dB SPL to power ratio with Google Calculator**

The commonly used reference sound pressure in air is [6]. Most sound level measurements will be made relative to this reference, meaning 1 Pa will equal an SPL of 94 dB. The main instrument for measuring sound levels in the environment is the sound level meter.

Most sound level meters provide readings in A, C, and Z-weighted decibels and must meet international standards such as IEC - The lower limit of audibility is defined as SPL of 0 dBbut the upper limit is not as clearly defined. While 1 atm dB Peak or dB SPL is the largest pressure variation an undistorted sound wave can have in Earth's atmospherelarger sound waves can be present in other atmospheres or other media such as under water, or through the Earth.

Ears detect changes in sound pressure. Human hearing does not have a flat spectral sensitivity frequency response relative to frequency versus amplitude. Because the frequency response of human hearing changes with amplitude, three weightings have been established for measuring sound pressure: A, B and C.

A-weighting applies to sound pressures levels up to 55 dBB-weighting applies to sound pressures levels between 55 dB and 85 dBand C-weighting is for measuring sound pressure levels above 85 dB. In order to distinguish the different sound measures a suffix is used: A-weighted sound pressure level is written either as dB A or L A. Unweighted sound pressure level is called "linear sound pressure level" and is often written as dB L or just L.

Some sound measuring instruments use the letter "Z" as an indication of linear SPL. The distance of the measuring microphone from a sound source is often omitted when SPL measurements are quoted, making the data useless, due the inherent effect of the inverse square lawwhich summarily states that doubling the distance between the source and receiver results in a halving of the measurable effect. In the case of ambient environmental measurements of "background" noise, distance need not be quoted as no single source is present, but when measuring the noise level of a specific piece of equipment the distance should always be stated.

Because of the effects of reflected noise within a closed room, the use of an anechoic chamber allows for sound to be comparable to measurements made in a free field environment. According to the inverse proportional law, when sound level L p 1 is measured at a distance r 1the sound level L p 2 at the distance r 2 is.

From Wikipedia, the free encyclopedia. This article is about the measurement of audible sound. For the music album, see Sound Pressure Level. Not to be confused with Sound energy density.CUI Devices' SPL calculator allows the user to convert a speaker's specified SPL on the datasheet to different real-world conditions, or to compare sound pressure levels between two devices with different specified parameters on their respective datasheets.

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Units Meters Centimeters Inches. Original Power W Required Field. Original Distance m Required Field. Desired Power W Required Field. Desired Distance m Required Field. Please keep in mind that this tool is for calculation and comparison purposes only. Do not operate a device beyond its rated power capacity, as this could cause damage.

Stay Connected Keep current with the latest product releases, technical resources and company updates from CUI Devices. Email Address. Learn More Privacy Policy. All Rights Reserved.Adding Amplitudes and Levels coherent and incoherent. Incoherent means: lacking cohesion, connection, or harmony. It is not coherent. For example, adding of threedecibel values, that means levels Adding of equal loud incoherent sound sources. Adding combining levels of equal loud sound sources.

The total level in dB is the level of one sound source plus the increase of level in dB. Sometimes we say uncorrelated when we mean incoherent. Given two incoherent sources their combined effect is the sum of their acoustic power. The used browser does not support JavaScript. You will see the program but the function will not work. Incoherent or noncoherent means the signals of the overdubbed channels are irrelative like a violin and a trumpet, that means having no correlative relationship.

Level 1. Fill in as many sound level boxes as necessary max 10 and then click the calculate bar, to get the calculated sum. Provided, that each sound source has its own random phasing. Level difference between the two sound sources. Number of n equal loud sound sources. To use the calculator, simply enter a value. Equal loud incoherent sound sources. Number of sound sources n. See also: Adding Amplitudes and Levels Adding decibels of one-third octave bands to level of octave band Combining decibels - adding up to thirty acoustic sound levels How do Sound Pressure Levels add when listening?

Example: The measurable noise of a motorcycle is at a certain distance 60 dB A. How big is the total level of 4 motorcycles with the same volume?

### Sound Pressure Level Calculator

If you are doing noise measurements of motorcycles you should at least consider the "honesty" of the dBA-readings without low frequencies. You can easily add up coherent and incoherent sound level and sound pressure values.Conversion of sound units levels.

Conversions and Calculations - Sound sizes and their Levels. Frequently used false statements in the context of sound values and the distance of the sound source. Sound pressure and sound power.

How do we calculate the distance drop of the noise? How is the sound reduction in dB with distance? How does distance affect sound pressure? Sound and noise propagation and the level damping. How far can sound travel? Don't mix it up with the normal damping decreasing of sound with distance. How do high frequencies affect sound? Frequency dependence. How does distance affect sound?

No frequency dependence. The used browser does not support JavaScript. You will see the program but the function will not work. We get a sound level drop of 6 dB per doubling of distance. Sound power or sound power level has nothing to do with the distance from the sound source. Thinking helps: A watt light bulb is emitting constantly the same power. That is really the case - no matter if in 1 m, in 10 m, or even in distance.

These emitted watts don't change with distance. They stay in the source. Sound power is the distance independent cause of this, whereas sound pressure is the distance-dependent effect. These calculations are meant only for sound engineers and the distance from point sources, like musicians or loudspeakers to a microphone in a direct field - No air damping and frequency dependency of e.

## dB Converter

Avoid using the psychoacoustical terms loudness perception and volume. This subjective sound-sensation is not clearly measurable without ambiguity. The term " loudness " or " volume " is a problem because it belongs to psycho- acoustics and this personal feeling is not correct definable. Loudness as a psychological correlate of physical strength amplitude is also affected by parameters other than sound pressure, including frequency, bandwidth, spectral composition, information content, time structure, and the duration of exposure of the sound signal.

The same sound will not create the same loudness perception by all individuals people. As psycho-acoustic parameters to describe the "loudness" there is the "loudness level" with the unit phon and the "loudness" with the unit sone. This is an often-told and believed wrong tale. Enter the three gray boxes and get the answer in the white box. Sound is here the sound level in decibels, no matter if it is the sound pressure level or the sound intensity level â€” but not the sound power level.

Calculation of the sound level L 2which is found at the distance r 2. Search for L 2. Calculate the distance r 2where the sound level L 2 is to find.This calculation will give you the ratio, in decibels, between two power values.

For example, you can calculate the difference in dB between two amplifiers with different power output specifications. This calculation will give you the ratio, in decibels, between two voltages. For example, you can calculate the gain needed to raise the output level from 0.

You can also use this to calculate how much attenuation you need if, for instance, you have a 2. This calculator provides the required electrical power power output from the amplifier to produce a desired Sound Pressure Level SPL at a given distance, along with an amount of headroom to keep the amplifier s out of clip. Example: You are designing a system where the farthest listening position from the loudspeaker is meters, and the desired Sound Pressure Level is 85 dB SPL The loudspeaker chosen for the job has a sensitivity rating of 95 dB.

With the minimum recommended amplifier headroom of 3 dB, then you need to choose an amplifier that can supply at least 1, watts to the loudspeaker. This calculation will give you the amount of attenuation, in decibels, you can expect with a change in receiver distance, in a free field outdoors.

For example if you were standing 20 feet from a loudspeaker, and were to move to 40 feet away from that loudspeaker, you would expect to see a drop in level of 6 dB. Sound that is radiated from a point source drops in level at 6 dB per doubling of distance. Ohm's Law states the relationship between current, voltage and resistance. Watt's Law states the relationships of power to current, voltage and resistance. Many people don't realize that a transformer labeled for use with a specific voltage will work just as well at other voltages.

This calculator provides power delivered from a transformer tap when driven with other than the rated voltage. Example: You are installing a distributed system with very long lines. To overcome line loss, you select a volt system. Which transformer tap will feed 10 watts to a loudspeaker with a 70V transformer? Power B. Enter any two values and press "Calculate" for the remaining value. Voltage B. Amplifier Power Required Listener distance from source.

Inverse Square Law Reference distance from source.These calculators will find how loud an amplifier and speaker combination will be, or what size amplifier you need to make a speaker a certain loudness. Sound drops off the further you are away from a speaker. This is how loud you want the sound to be at the distance specified.

Some general levels are:. This is not an indicator of how sensitive the main human speaker is, but rather a measurement of the sensitivity of the loudspeaker.

It should be available in the specifications for the loudspeaker see Understanding Speaker Sensitivity for more info. It is normally stated as the SPL measured 1 metre in front of the speaker with 1 watt of power driving the speaker.

Hence the specification will read something like:. This is an allowance for the amplifier to cope with peaks without distortion. At least 3dB headroom is generally recommended. Note that for every 3dB allowance, the power requirement doubles. In the calculator below, first input the distance from the speaker and select feet or meters. Then, fill in the input fields of either calculator depending on if you want to know the required power for a target SPL use the first calculatoror if you want to know how loud a given amplifier will be use the second calculator.

When reflections are present, the SPL losses can be reduced by up to 6dB. European and Australian readers can use the links on the side panel - Thanks for the support. This site uses Akismet to reduce spam. Learn how your comment data is processed.

The amp is and Audio Source It also says its bridgeable, which also confuses me. Thank you. Hi Ed, The has two amps, left and right. Each of these can produce a total of watts into a 8 ohm load, or watts into a 4 ohm load. To make it easy to connect two speakers to the left and right amps, they provide a second set of connections, and called them speaker B.

The first set for both left and right are called speaker A.

Hello Sir Geoff, good dayâ€¦ Im a little confuse understanding about the load of a amplifier. I hope you can give some of explanation. My amplifier is sakura watts by kensonic, And the load speaker at the back of the amplifier is, Wx2 8 omhs Wx2 4 ohms.