One clue used by your brain to determine the direction of a source of sound is the time delay t between the arrival of the sound at the ear closer to the source and the arrival at the farther ear.Assume that the source is distant so that a wavefront from it is approximately planar when it reaches you, and let D represent the separation between your ears. (a) If the source is located at angle u in front of you , what is in terms of D and the speed of sound v in air? (b) If you are submerged in water and the sound source is directly to your right, what is t in terms of D and the speed of sound vw in water? (c) Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle u from the forward direction. Evaluate u for fresh water at 20C.

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Chapter1: Units, Trigonometry. And Vectors
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One
clue used by your brain to determine
the direction of a source of sound is
the time delay t between the arrival
of the sound at the ear closer to the
source and the arrival at the farther
ear.Assume that the source is distant
so that a wavefront from it is approximately
planar when it reaches you,
and let D represent the separation
between your ears. (a) If the source is located at angle u in front of
you , what is in terms of D and the speed of sound v
in air? (b) If you are submerged in water and the sound source is directly
to your right, what is t in terms of D and the speed of sound
vw in water? (c) Based on the time-delay clue, your brain interprets
the submerged sound to arrive at an angle u from the forward direction.
Evaluate u for fresh water at 20C.

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