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posted by  dc1990 on 11/5/2009 9:25:28 PM  |  status: Closed  |  Earned Karma: 45

The Ear and Sound (WILL RATE!)

Course Textbook Chapter Problem Needs by
Calculus Based Physics Physics for Scientists and Engineers 7th by Serway, Jewett 17 N/A 11/5/2009 at 1:00:00 AM
Question Details:
Only two recording channels are required to give the illusion of sound coming from any point located between two speakers of a stereophonic sound system. If the same signal is recorded in both channels, a listener will hear it coming from a single direction halfway between the two speakers. This "phantom orchestra" illusion can be heard in the two-channel original Broadway cast recording of the song "Do-Re-Mi" from The Sound of Music (Columbia Records KOS 2020). Each of the eight singers can be heard at a different location between the loudspeakers. All listeners with normal hearing will agree on their locations. The brain can sense the direction of sound by noting how much earlier a sound is heard in one ear than in the other. Model your ears as two sensors 20.0 cm apart in a flat screen. If a click from a distant source is heard 235 µs earlier in the left ear than in the right, from what direction does it appear to originate? 
° left of center
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posted by JamesD on 11/7/2009 12:58:08 PM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
   distance   d = 0.20 m
    time         t = 235 x 10-6 s
    velocity    v = 343 m/s
  If the source is to the left at angle θfrom the direction you are facing,
  the sound must travel an extra distance dsinθ to reach your right ear
  as shown, where d is the distance between your ears.
The delay time   is Δt in
                          
  So the angle is θ = 23.76o left of center

    Diagram:
                
I hope this helps! Best of luck with the rest of your coursework.
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