Two identical loudspeakers are located at points (−10, 0, 0) and (0, 0, 10) of our coordinate system, where the numbers in the brackets correspond to the (x, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequency of 170 Hz. The speed of sound in air can be considered 340 m/s. a) Give the coordinates of those points located on the positive x axis where the sound waves coming from the two loudspeakers interfere constructively.
Two identical loudspeakers are located at points (−10, 0, 0) and (0, 0, 10) of our coordinate system, where the numbers in the brackets correspond to the (x, y, z) coordinates of the points, expressed in meters. The loudspeakers are driven by the same oscillator with a frequency of 170 Hz. The speed of sound in air can be considered 340 m/s.
a) Give the coordinates of those points located on the positive x axis where the sound waves coming from the two loudspeakers interfere constructively.
b) A receiver is started to move slowly from the origin (0, 0, 0) along a path lying in the x–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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