![]() This means that as the distance from a source is doubled, the sound intensity is quartered. The mathematical relationship between the distance and sound intensity is known as an inverse squared relationship. The level of sound that is painful to the human ear (130 dB) is 1013 times more intense than the level at the threshold of hearing. It is measured in watts per square meter. The further away from a sound source a person is the lower the sound intensity is. In pressure terms, intensity is a measure of the amount of compression and rarefaction of the sound pressure wave. Here I 0 is the threshold of hearing and I is the sound intensity. The formula for this relationship is: dB = 10*log(I/I 0). So if the sound intensity level is increased from 0 to 20 decibels, the intensity is increased by 10*10=100, meaning that the sound intensity is 1*10 -10 W/m 2. For every 10 decibels that the sound intensity is increased by, the intensity goes up by a power of 10. This is a logarithmic scale, in which 0 dB the same is as the threshold of hearing with an intensity of 1*10 -12 W/m 2. Seeing as E/t is the same as the power (P), we can simplify this formula into I = P/A.Īnother unit for the sound intensity is decibels (dB). The formula for sound intensity is: I = E/(A*t). The greater the amplitude of the vibrations through a certain medium, the higher the energy of the particles is and thus, the intensity of the sound wave is higher. Sound Intensity System for identification of noise source location, sound power measurement and noise mapping with a B&K Type 2270-S sound level meter included. Sound intensity is the amount of energy per unit (1m 2) per unit of time (1s).įormula of sound intensity
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