Explore BrainMass

Harmonic Sound Waves

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

4. Two coherent sources of sound, A and B, emit continuous harmonic sound waves of the same frequency f and wavelength lambda.

When each source is operating by itself, with the others turned off, it produces an acoustic intensity at point P equal to 1.00 W/m^2.

The paths from the sources to P are not equal. You are given that r_A = 1.33 lambda, r_B = 2.750 lambda.

6. a) Assuming that the two sources are vibrating in phase, calculate the intensity produced at P when both sources are operating simultaneously. Draw the associated phasor diagram.

b) By what angle must the intrinsic phase of source B be changed so that the intensity at P disappears? Draw the phasor diagram for the new situation.

c) What is the maximum intensity that could be produced at P by adjusting the intrinsic phases of the sources, keeping the paths the same?

© BrainMass Inc. brainmass.com October 16, 2018, 4:40 pm ad1c9bdddf


Solution Preview

The principle of superposition of waves states that the resultant displacement at a point is equal to the sum of the displacements of different waves at that point. If a crest of a wave meets a crest of another wave at the same point then the crests interfere constructively and the resultant wave amplitude is greater. If a crest of a wave ...

Solution Summary

Calculations and answers for (6) are included in the original exam that has been completed and reattached. Explanation for (4) is 225 words.

Similar Posting

Sound Waves: Standing Waves & Beats

1. Organ pipe A, with both ends open, has a fundamental frequency of 300 Hz. The third harmonic of organ pipe B, with one end open, has the same frequency as the second harmonic of pipe A. How long are (a) pipe A and (b) pipe B?

2. A tuning fork of unknown frequency makes 3.00 beats per second with a standard fork of frequency 384 Hz. The beat frequency decreases when a small piece of wax is put on a prong of the first fork. What is the frequency of this fork?

View Full Posting Details