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Getting to Grips with Aircraft Noise

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Flight Operations Support & Line Assistance<br />

<strong>Getting</strong> <strong>to</strong> grips <strong>with</strong> aircraft noise<br />

9 - A BIT OF THEORY<br />

The sound pressure amplitude varies inversely <strong>with</strong> the distance from the source.<br />

Nonetheless, the practical way <strong>to</strong> measure the wave amplitude is <strong>to</strong> use the effective<br />

acoustic pressure p e , which is the root-mean-square of the instantaneous sound<br />

pressure variations over one period. This leads <strong>to</strong> the following relationship:<br />

Pmax<br />

pe = (9.2.1-2)<br />

r 2<br />

9.2.2. SOUND INTENSITY<br />

It is the energy per unit of time per unit of area transmitted by a sound wave. The<br />

instantaneous sound intensity at a distance r from the source is equal <strong>to</strong> :<br />

p.<br />

dA dr<br />

I ( r)<br />

= .<br />

(9.2.2-1)<br />

dA dt<br />

Where: p.dA is the pressure force on the element of surface dA<br />

dr/dt = vr is the speed of the molecule in the r direction<br />

Thus:<br />

I ( r)<br />

= pv<br />

(9.2.2-2)<br />

r<br />

59

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