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| This is an overview of relationships between relative sound pressure, relative sound energy, and decibels. It shows that for each 10 decibel increase, the relative energy increases tenfold, while the relative pressure increases by a factor of the square root of 10, or approximately 3.16 times. When we examine the values of relative pressures and energy expressed in powers of ten, we notice that the exponent of the relative energy value is one-tenth of the decibel value. The exponent of the relative pressure is one-half of that of the relative pressure, or one-twentieth of the decibel level. For instance, the relative energy of 50 decibels is 105, and the relative pressure is 102.5. This is also the case, of course, for values not shown here. The relative energy value of 86 decibels is 108.6 (=398,107,171) and the relative pressure is 104.3 (=19,953). In the previous slide, we mentioned that relative energy is directly proportional to the number of equal sound sources for a given distance. Thus, if the sound pressure level of one source is 70 decibels at a given distance from the source, the sound pressure level of ten of the same sources would be 80 decibels at the same distance. A hundred sources would produce 90 decibels, and so on. |