Two small speakers emit sound waves of different frequencies equally in all directions. Speaker A has an output of 1.00 mW, and speaker B has an output of 1.50 mW. Determine the sound level (in decibels) at point C in the figure assuming (a) only speaker A emits sound, (b) only speaker B emits sound, and (c) both speakers emit sound.

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Coleen AmadoLv10

28 Dec 2020

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Two in-phase speakers are 2.80 mapart and emit an unknown single frequency of sound in alldirections. At a point 2.00 m away from one speaker on the line ABbetween the two speakers a sound detector records a sound intensitymaximum. The detector is then moved perpendicularly away from theline AB. The first time the sound intensity is again measured to bea maximum occurs at y= 1.01 away from the line AB.

What is the frequency of the sound emitted by the speakers? (NOTE:The path difference decreases as the detector moves away from theline AB; therefore you can't assume that the path differenceinitially is one wavelength. You must leave n as a variable andalgebraically eliminate it.)

Attempt at answer:

The difference between the 'detector' and points 'A' and 'B'are

S_AD â[(2.00 m)²+(1.01 m)^2] =2.240557966 m

S_BD â[(0.80 m)²+(1.01 m)^2] =1.28844868 m

Beyond this though I'm stuck. I've already tried to divide thespeed of light (v = 343 m/s^s) by (S_AD -S_BD) = 360 Hz

I know this is wrong as the assignment is online.

All I need is a good nudge in the right direction.

Thanks again to anyone who can contribute!

A trumpet creates a sound intensity level of 1.15 × 10² dB at a distance of 1.00 m. (a) What is the sound intensity of a trumpet at this distance? (b) What is the sound intensity of five trumpets at this distance? (c) Find the sound intensity of five trumpets at the location of the first row of an audience, 8.00 m away, assuming, for simplicity, the sound energy propagates uniformly in all directions. (d) Calculate the decibel level of the five trumpets in the first row. (e) If the trumpets are being played in an outdoor auditorium, how far away, in theory, can their combined sound be heard? (f) In practice, such a sound could not be heard once the listener was 2-3 km away. Why can’t the sound be heard at the distance found in part (e)? Hint: In a very quiet room the ambient sound intensity level is about 30 dB.