Pr5. Two identical loudspeakers are located at points (-10,0, 0) and (0,0, 10) of our coor- dinate system, where the numbers in the brac- kets correspond to the (r, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequ- ency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points loca- ted on the positive a axis where the sound waves coming from the two loudspeakers interfere con- structively. b) A receiver is started to move slowly from the origin (0,0,0) along a path lying in the r-y plane so that it receives constant sound intensity throughout its slow motion. What is the shape of the path the receiver should take?

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Pr5. Two identical loudspeakers are located
at points (-10,0,0) and (0,0, 10) of our coor-
dinate system, where the numbers in the brac-
kets correspond to the (r, y, z) coordinates of the
points, expressed in meters. The loudspeakers
are driven by the same oscillator with a frequ-
ency of 170 Hz. The speed of sound in air can
be considered 340 m/s.
a) Give the coordinates of those points loca-
ted on the positive r axis where the sound waves
coming from the two loudspeakers interfere con-
structively.
b) A receiver is started to move slowly from
the origin (0,0,0) along a path lying in the r-y
plane so that it receives constant sound intensity
throughout its slow motion. What is the shape
of the path the receiver should take?
Transcribed Image Text:Pr5. Two identical loudspeakers are located at points (-10,0,0) and (0,0, 10) of our coor- dinate system, where the numbers in the brac- kets correspond to the (r, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequ- ency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points loca- ted on the positive r axis where the sound waves coming from the two loudspeakers interfere con- structively. b) A receiver is started to move slowly from the origin (0,0,0) along a path lying in the r-y plane so that it receives constant sound intensity throughout its slow motion. What is the shape of the path the receiver should take?
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