Two 350.0-W speakers, A and B, are separated by a distance D = 3.41m. The speakers emit in-phase sound waves at a frequency f =11800.0 Hz. Point P1 is located at x1= 4.51 m and y1 = 0 m; pointP2 is located at x2 = 4.51 m and y2 = â?y.
a) Neglecting speaker B, what is the intensity, IA1 (in W/m2), ofthe sound at point P1 due to speaker A? Assume that the sound fromthe speaker is emitted uniformly in all directions.
b) What is this intensity in terms of decibels (sound level,ÃA1)?
c) When both speakers are turned on, there is a maximum in theircombined intensities at P1. As one moves toward P2, this intensityreaches a single minimum and then becomes maximized again at P2.How far is P2 from P1, that is, what is ?y? You may assume that L>> y and that D >> y, which will allow you to simplifythe algebra by using (a±b)1/2 Ë a1/2 ± 0.5b/a1/2 when a >> b.
Two 350.0-W speakers, A and B, are separated by a distance D = 3.41m. The speakers emit in-phase sound waves at a frequency f =11800.0 Hz. Point P1 is located at x1= 4.51 m and y1 = 0 m; pointP2 is located at x2 = 4.51 m and y2 = â?y.
a) Neglecting speaker B, what is the intensity, IA1 (in W/m2), ofthe sound at point P1 due to speaker A? Assume that the sound fromthe speaker is emitted uniformly in all directions.
b) What is this intensity in terms of decibels (sound level,ÃA1)?
c) When both speakers are turned on, there is a maximum in theircombined intensities at P1. As one moves toward P2, this intensityreaches a single minimum and then becomes maximized again at P2.How far is P2 from P1, that is, what is ?y? You may assume that L>> y and that D >> y, which will allow you to simplifythe algebra by using (a±b)1/2 Ë a1/2 ± 0.5b/a1/2 when a >> b.
