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07-026
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--. —� <br />arithmetically, and the 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 formula used for this task was as follows: <br />Leq.T = 10 log [ 1T OT IOLp(t)/10 dt] = 10 log [Tl OT [ p(t)poJ2dt] <br />To further explain the above formula consider the defining function where Lp (t) is sound <br />pressure levels as a function of time, T 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 terniinology was likely motivated 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 />In an actual circumstance where sound levels could be variable, the equivalent sound <br />level equals a constant sound level that appropriately integrated 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 following 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 = 1 U log [ 1 T ti 10 LAi/10] <br />I =1 <br />The ultimate result of this type of testing is to obtain 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 normalize the allowed limit by stating it as percentage dose, where a dose of <br />100°/o corresponds to an exposure at the criterion level (Lc) for a duration equal to the criterion <br />time (Tc), which is normally specified as eight (8) hours. However, at stated earlier, in this case <br />the target dose will be the immediate, short terni, 100% peak level achieved at any given point <br />dunng the sampling 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 human hearing range is <br />theoretically from zero (0) dB (theoretical threshold of audibility) to one hundred and thirty (130) <br />dB, the average pain threshold, a comparison can be shown. Sound power (W) of a source is the <br />total acoustic output that it produces in watts (w). For most practical situations the sound power <br />of a source is constant regardless of its location in different enviro�unents. <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 known as the pascal (Pa) or one newton per square meter (N/m2). <br />
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