Question

Two small loudspeakers emit sound waves of different frequencies equally in all directions. Speaker A has an output of 1.30 mW, and speaker B has an output of 2.00 mW.

Two speakers A and B are represented as points which serve as the centers of concentric circles representing sound waves emanating from the speakers. The concentric circles about speaker A are spaced more closely together than the concentric circles about speaker B. The points lie along a horizontal line, and speaker A is 5.00 m to the left of speaker B. A vertical line is drawn that intersects the horizontal line at a distance of 3.00 m from the left speaker and 2.00 m from the right speaker. Point C lies along this vertical line at a distance of 4.00 m above the point of intersection.

(a) Determine the sound level (in decibels) at point C in the figure if only speaker A emits sound. (Enter your answer to at least one decimal place.)
dB

(b) Determine the sound level (in decibels) at point C in the figure if only speaker B emits sound. (Enter your answer to at least one decimal place.)
dB

(c) Determine the sound level (in decibels) at point C in the figure if both speakers emit sound. (Enter your answer to at least the nearest dB.)
dB

Answer 1

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# from speaker A W/m2 Distance of Pt.C da = 13²742 =sm # Intensity , IA 4 A ( daje >> In = 1.30 x 100 = 4.138 815" YR (5) * Intensity level of sound wave B = 10 dB log ( 31 ) = 10 dB log [ 4.138 +16 P = 66.168 dB b) do = √2²4 42 = 120 In to 2 = 7.95 78x102 # Intenity level , B = to de los [ 7.2 pavis 7 B - 69.008 dB c) B = 10 dB log [ 2, +2 - lodo log92 3(1.384 73576) 862 I 1x 10-12 B = 70-826 dB 40 (120)2 W/m2 1x 10-12