•10 * Underwater illusion. One clue used by your brain to determine Wavefronts the direction of a source of sound is ! the time delay At between the arrival of the sound at the ear closer to the | d source and the arrival at the farther ear. Assume that the source is distant D so that a wavefront from it is approx- imately planar when it reaches you, and let D represent the separation between your ears. (a) If the source is located at angle 6 in front of you (Fig. 17-31), what is At in terms of D and the speed of sound v in air? (b) If you are submerged in water and the sound source is di- rectly to your right, what is At in terms of D and the speed of sound V, in water? (c) Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle 0 from the forward direc- tion. Evaluate 0for fresh water at 20°C. Figure 17-31 Problem 10.
•10 * Underwater illusion. One clue used by your brain to determine Wavefronts the direction of a source of sound is ! the time delay At between the arrival of the sound at the ear closer to the | d source and the arrival at the farther ear. Assume that the source is distant D so that a wavefront from it is approx- imately planar when it reaches you, and let D represent the separation between your ears. (a) If the source is located at angle 6 in front of you (Fig. 17-31), what is At in terms of D and the speed of sound v in air? (b) If you are submerged in water and the sound source is di- rectly to your right, what is At in terms of D and the speed of sound V, in water? (c) Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle 0 from the forward direc- tion. Evaluate 0for fresh water at 20°C. Figure 17-31 Problem 10.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:•10 E Underwater illusion. One
clue used by your brain to determine Wavefronts,
the direction of a source of sound is !
the time delay At 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
D
so that a wavefront from it is approx-
imately planar when it reaches you,
and let D represent the separation
between your ears. (a) If the source is located at angle 0 in front of
you (Fig. 17-31), what is At in terms of D and the speed of sound v
in air? (b) If you are submerged in water and the sound source is di-
rectly to your right, what is At 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 0 from the forward direc-
L
Figure 17-31 Problem 10.
tion. Evaluate ofor fresh water at 20°C.
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