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Introduction to Acoustics

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Typical outdoor setting<br />

A-weighted sound level in dB re 20 µPa<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

Noisy urban (daytime)<br />

Commercial retail area<br />

Suburban (daytime)<br />

Suburban (nighttime)<br />

Grand Canyon (along river)<br />

Hawaii volcanoes (crater overlook)<br />

Grand Canyon (remote trail)<br />

Haleakala (in crater, no wind)<br />

Non-park setting<br />

Park setting<br />

Fig. 23.4 Comparison of outdoor A-weighted levels in different<br />

environments. (After Miller [23.7], with permission)<br />

The plus signs indicate that the two loudspeakers are<br />

operating in phase. The distance between all loudspeakers<br />

is d. In the second case (b) the two loudspeakers are<br />

operated out of phase and form a dipole with a dipole<br />

moment in the direction shown. In this case, the <strong>to</strong>tal<br />

power radiated relative <strong>to</strong> monopole radiation can be<br />

shown [23.6]<strong>to</strong>be<br />

Wd = 1<br />

24 (kd)2 Wm , (23.14)<br />

where k is the wave number (ω/c) andd is the distance<br />

between the two sources. If two dipoles with opposite<br />

23.1 Instruments for Noise Measurements<br />

23.1.1 <strong>Introduction</strong><br />

The most common quantity for control and assessment<br />

of noise is the frequency-weighted sound level, as measured<br />

by a sound level meter. Exponential time weighting<br />

Noise 23.1 Instruments for Noise Measurements 965<br />

dipole moments are combined, the result is a quadrupole<br />

– as illustrated in (c). In this case, the <strong>to</strong>tal power radiated<br />

relative <strong>to</strong> monopole radiation can be shown [23.6] <strong>to</strong><br />

be:<br />

Wq = 1<br />

120 (kd)4 Wm . (23.15)<br />

It can be seen that at small values of kd (low frequencies),<br />

dipole and quadrupole sources of sound are much less<br />

efficient in radiating sound than monopoles. The dipole<br />

case is especially important because one way <strong>to</strong> reduce<br />

the source noise level is <strong>to</strong> create a secondary source<br />

of opposite phase near the primary sources. The sound<br />

radiated by the secondary source partially cancels the<br />

sound radiated by the primary source, and the radiation<br />

efficiency is reduced.<br />

Radiation Efficiency of Machines<br />

The sound power radiated by a source is also a very small<br />

fraction of the mechanical power driving the source.<br />

Shaw [23.4] studied the radiation efficiency of a number<br />

of practical sources, and found that only a small fraction<br />

of the mechanical power was converted <strong>to</strong> sound.<br />

Fig. 23.2 shows the relationship between A-weighted<br />

sound power and mechanical power for a wide variety<br />

of sources.<br />

23.0.4 Sound Pressure Level<br />

of Common Sounds<br />

Many authors have shown the relationship between<br />

sound pressure level and many common sounds. Data<br />

adapted from Burgé [23.5] areshowninFig.23.3. Aweighted<br />

sound pressure levels range from about 25<br />

<strong>to</strong> 110 dB, which is a range in sound pressure of approximately<br />

1:18 000. Similar data, but at lower sound<br />

pressure levels, have been adapted from Miller and are<br />

shown in Fig. 23.4. The vertical scales are labeled differently<br />

<strong>to</strong> conform <strong>to</strong> the practice of each author. As can<br />

be seen, there is a considerable difference for certain<br />

common terms; environmental levels may vary greatly<br />

in urban and suburban areas.<br />

may also be employed for measurements of frequencyweighted<br />

sound level. Sound pressure levels are usually<br />

measured through constant-percentage-bandwidth filters.<br />

Sound intensity is commonly used for localization<br />

of noise sources and for direct determination of sound<br />

Part G 23.1

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