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?
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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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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