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-� — <br />arithmetically, and tlie results then expressed in decibels. The restriction on averaging pertains <br />only to processing of the fundamental pressure squared variable. Statistical processing of <br />sampled derived measurements, such as an ensemble of Leq.T values, is not similarly restricted. <br />The forn�ula used for this task was as follows: <br />Leq.T = 10 log [ 1T OT lOLp(t)/10 dt] = 10 log [Tl OT [ p(t)po]2dt] <br />To further explain the above formula consider the defining furnction where Lp (t) is sound <br />pressure levels as a function of time, '1' is the observation or averaging time, p(t) is sound <br />pressure as a function of time and po is the reference pressure of twenty (20} micropascals ( Pa}. <br />Adoption of the-equivalent sound level terminology was likeJy lnotivated to forestall erroneous <br />use of the arithmetic averaging. Nevertheless, the term average sound level is also in wide use <br />and is functionally identical. <br />Tn an actual circumstance where sou��d levels could be variable, the equivalent sound <br />level equals a constant sound level that appropriately inte�ated over the averaging time would <br />result in the same energy as integrating the corresponding variable sound level over the same <br />time. <br />In contrast, for sound levels stated for discrete time increments, the overall equivalent <br />level can be obtained by the fol(owing combining relationship. The levels for each discrete time <br />period may be constants or may themselves be equivalent levels. Thus the combined equivalent <br />level is (A-weighted levels used in the following example): <br />N <br />LAeq.T = 10 log [ 1T ti 10 LAi/l OJ <br />I =1 <br />The ultimate result of this type of testing is to oblain sound readings that can be used to <br />establish exposure levels. This exposure level of sound dose can also be stated in joules. <br />Regulatory agencies nonnalize the allowed ]imit by stating it as percentage dose, where a dose of <br />1Q0% corresponds to an exposure at the criterion level (Lc) for a duration equai to the criterion <br />time (Tc), which is nonnally speci�ed as eight {8) hours. However, at stated earlier, in this case <br />the tar�et dose will be the immediate, short term, 100% pealc level achieved at any given point <br />during the sampliiig episode. <br />Therefore, the noise level results are all stated in decibels. As such a decibel {dB) is a <br />unit for measuring the intensity of sound. The decibel is a dimension less quantity, based on the <br />logarithm of the ration of two power-like quantities. Considering the lluman hearing range is <br />theo��etically from zero (0) dB (theoretical threshold of audibility) to one hundred and thiny (130) <br />dB, the average pain threshold, a cornparison can be shown. Sound power (W) of a source is the <br />tota] acoustic output that it produces in watts (w). For most practical situations the sound power <br />of a souree is constant regardless of its location in difEerent environments. <br />The amplitude of the sound pressure disturbance can be related to the displacement <br />amplitude of the vibrating sound source. Pressure is expressed as force per unit area. The <br />preferred unit of pressure is lcnown as the pascal {Pa) or one newton per square metzr (N/m2}. <br />