Two loudspeakers, A and B, radiate sound uniformly in all directions in air (see Figure). The speed of sound in air is 344 m/s. The acoustic power output from A is 8.00 × 10¬4 w and the power output from B is 6.00 × 10–4 w. Both loudspeakers are vibrating in phase at a frequency of 172 Hz. Determine the sound intensity level (in dB) at a point C along the line joining A and B, 3.00 m from B and 4.00 m from A. Hint: The intensity is proportional to the wave amplitude A. We can write the intensity as I = KA² where K is a constant. If two different wave amplitudes A1 and A, are at the same point in space they add by superposition: Atot = A1 + A2

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Chapter16: Waves
Section: Chapter Questions
Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...
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Two loudspeakers, A and B, radiate sound uniformly in all directions in air (see Figure). The
speed of sound in air is 344 m/s. The acoustic power output from A is 8.00 x 10-4 w and the
power output from B is 6.00 × 10-4 w. Both loudspeakers are vibrating in phase at a frequency
of 172 Hz. Determine the sound intensity level (in dB) at a point C along the line joining A and B,
3.00 m from B and 4.00 m from A. Hint: The intensity is proportional to the wave amplitude A.
We can write the intensity as I = KA² where K is a constant. If two different wave amplitudes
A1 and A, are at the same point in space they add by superposition: Atot = A1 + A2
4.0 m
3.0 m
Transcribed Image Text:Two loudspeakers, A and B, radiate sound uniformly in all directions in air (see Figure). The speed of sound in air is 344 m/s. The acoustic power output from A is 8.00 x 10-4 w and the power output from B is 6.00 × 10-4 w. Both loudspeakers are vibrating in phase at a frequency of 172 Hz. Determine the sound intensity level (in dB) at a point C along the line joining A and B, 3.00 m from B and 4.00 m from A. Hint: The intensity is proportional to the wave amplitude A. We can write the intensity as I = KA² where K is a constant. If two different wave amplitudes A1 and A, are at the same point in space they add by superposition: Atot = A1 + A2 4.0 m 3.0 m
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