Measure Decibels

In common usage, decibels are usually a way to measure the volume (loudness) of a sound. Decibels are a base 10 logarithmic unit, which means that increasing a sound by 10 decibels results in a sound that is twice as loud as the "base" sound. In general terms, a sound's decibel value is given by the formula 10Log10(I/10-12), where I = the sound's intensity in watts/square meter.

Steps

Decibel Noise Comparison Chart

In the table below, rising decibel levels are assigned to common sources of noise. In addition, information on hearing damage from exposure to each level of noise is given.

Decibel Levels of Common Noise Sources[1]
Decibels Example Sources Health effects
0 Silence None
10 Breathing None
20 Whispering None
30 Quiet rural background noise None
40 Library noises, quiet urban background noise None
50 Relaxed conversation, ordinary suburban activity None
60 Busy office or restaurant noise, loud conversation None
70 TV volume, Freeway traffic at 50 feet (15.2 meters) None; unpleasant for some
80 Factory noise, food processor, car wash at 20 feet (6.1 meters) Possible hearing damage after lengthy exposure
90 Lawn mower, motorcycle at 25 feet (7.62 meters) Likely hearing damage after lengthy exposure
100 Outboard motor, jackhammer Serious damage likely after lengthy exposure
110 Loud rock concert, steel mill May be immediately painful; damage after lengthy exposure very likely
120 Chainsaw, thunderclap Usually immediately painful
130-150 Jet takeoffs on aircraft carrier deck Immediate hearing loss or eardrum rupture possible

Measuring Decibels with Instruments

  1. Use your computer. With the right programs and equipment, it's not difficult to measure the decibel level of a sound using your computer. Listed below are just a few ways to do this. Note that better recording equipment will always give you better results — in other words, while your computer's default internal microphone may be sufficient for some tasks, a high-quality external microphone will be much more accurate.
    • If you're on Windows 8, try downloading the free Decibel Reader app from the Microsoft App store. The app uses your computer's microphone to read noises up to 96 decibels.[2] Similar devices are available from the iTunes app store for Apple products.[3]
    • You can also try using a third-party program to measure decibels. For instance, Audacity, a free sound recording program, includes a simple built-in decibel meter [4]
  2. Use a mobile app. For measuring sound levels on the go, mobile apps can be extremely convenient. Though the microphone on your mobile device isn't as likely to be as high-quality as the sorts of external mics you can connect to a computer, they can be surprisingly accurate. For instance, it's not uncommon for readings from mobile apps to be within 5 decibels of the readings from professional equipment.[5] Below is a brief list of decibel-reading apps available for common mobile platforms:
    • For Apple devices: Decibel 10th, Decibel Meter Pro, dB Meter, Sound Level Meter
    • For Android devices: Sound Meter, Decibel Meter, Noise Meter, decibel
    • For Windows phones: Decibel Meter Free, Cyberx Decibel Meter, Decibel Meter Pro
  3. Use a professional decibel meter. Though it's not usually cheap, perhaps the most direct, accurate way to find the decibel level of a sound you with to analyze is to use a decibel meter. Also called a "sound level meter", this specialized tool (available from online retailers and specialty stores) uses a sensitive microphone to measure the amount of noise in the environment and give you a precise decibel value. Since there isn't generally a large market for these tools, they can be somewhat expensive — often at least $200 even for low-cost models.[6]
    • Note that decibel meters/sound level meters can go by other names. For instance, another type of tool called a "noise dosimeter" performs basically the same function as a standard sound level meter.

Deriving Decibels Mathematically

  1. Find your sound's intensity in watts/square meter. For everyday practical purposes, decibels are usually seen as a simple measure of loudness. However, the truth is a little more complex. In physics, decibels are often thought of as a convenient way of expressing the intensity of a sound wave. The larger the amplitude of a given sound wave, the more energy it transmits, the more it moves the air particles in its path, and the more "intense" the sound is.[7] Because of this direct relationship between a sound wave intensity and and its volume in decibels, it's possible to find a decibel value given nothing more than an intensity level for the sound (which is typically measured in watts/square meter)
    • Note that, for ordinary sounds, the intensity value is usually very small. For instance, a sound with an intensity of 5 ×10-5 (or 0.00005) watts/square meter translates to about 80 decibels — about the volume of a blender or food processor.
    • To better understand the relationship between intensity measurements and decibels, let's follow along with an example problem. For the purposes of this problem, let's say that we're music producers and we're trying to find the background noise level in our recording studio to improve the sound of our records. After setting up our equipment, we detect a background noise intensity of 1 × 10-11 (0.00000000001) watts/square meter . In the next few steps, we'll use this info to find the decibel level of the background noise in our studio.
  2. Divide by 10-12. Once you've found the intensity of your sound, you can simply plug it into the formula 10Log10(I/10-12) (where "I" is your intensity in watts/square meter) to find its decibel value. To begin, divide by 10-12 (0.000000000001). 10-12 represents the intensity of a 0 decibel sound, so by comparing your intensity value to this, you're essentially finding its relationship to this base value.
    • In our example, we'd divide our intensity value, 10-11, by 10-12 to get 10-11/10-12 = 10.
  3. Take the Log10 of your answer and multiply by 10. To finish solving, all you need to do is take the base 10 logarithm of your answer, then, finally, multiply by 10. This accounts for the fact that decibels are logarithmic units with a base of 10 — in other words, an increase of 10 decibels means that the loudness of the sound has doubled.
    • Our example is easy to solve. Log10(10) = 1. 1 ×10 = 10. Therefore, the background noise in our studio has a loudness of 10 decibels. This is quite quiet, but still detectable with our high-quality recording equipment, so we'll probably need to eliminate the source of the noise for the best recordings
  4. Understand the logarithmic nature of decibel values. As noted above, decibels are logarithmic units with a base of 10. For any given decibel value, a noise 10 decibels greater is twice as loud, a noise 20 decibels greater is 4 times as loud, and so on. This makes it easy to describe the huge range of sound intensities that can be picked up by the human ear. The loudest sound the ear can hear without experiencing pain is more than one billion times more intense than the quietest noise it can detect.[7] By using decibels, we avoid having to use huge numbers to describe common sounds — instead, we only need to use three digit numbers at most.
    • Consider this — which is easier to use: 55 decibels or 3 × 10-7 watts/square meter? The two are equivalent, so rather than having to use scientific notation (or a very small decimal), decibels allow for us to use a sort of simple shorthand for easy everyday use.



Tips

  • Note that the 0 level on a sound level meter is not the same as an absolute 0 dB value. Rather, it is the level at which sound is distortion free on the device.
  • Watts (as in watts/square meter) are a physical measure of power.[8] There are also different units for power, like kilowatts, milliwatts, and so on — be sure to convert these to watts before using them in the power to decibel formula above.

Related Articles

  • Add Sound Pressure Levels

Sources and Citations

  1. ↑ https://www.chem.purdue.edu/chemsafety/Training/PPETrain/dblevels.htm
  2. ↑ http://apps.microsoft.com/windows/en-us/app/decibel-meter/ea108e13-4c1f-4891-8417-ad390c77d422
  3. ↑ https://itunes.apple.com/us/app/decibel-10th/id448155923?mt=8
  4. ↑ http://www.uwec.edu/help/audacity/meterbar.htm
  5. ↑ https://itunes.apple.com/us/app/decibel-meter-pro/id382776256?mt=8
  6. ↑ https://www.noisemeters.com/product/tm102/sound-meter.asp
  7. ↑ 7.0 7.1 http://www.physicsclassroom.com/class/sound/Lesson-2/Intensity-and-the-Decibel-Scale
  8. ↑ http://www.rapidtables.com/electric/watt.htm

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