lecture 21 - beats, uncertainty

# lecture 21 - beats, uncertainty - Announcements Prayer...

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Announcements 2/23/11 Prayer Deron Williams just got traded to the Nets (what???) Due Saturday night: a. Labs 4-5 b. First extra credit papers - Can do each type of paper  once in first half of semester, once in second half c. Term project proposals Email to me: proposal in body of email, 650 word max. One proposal per group… but please  CC your  partner(s) on email See website for guidelines, grading, ideas, and  examples of past projects. Thanks to those who filled out the mid-semester survey Colton “Fourier series summary” handout.  Caution about  notation!!

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Demos Trumpet Gas-lit standing wave
Reading Quiz As discussed in the reading assignment, a “beat”  is: a. A periodic change in amplitude of a wave b. Interference between overtones c. The first Fourier component of a wave d. The reflection of a wave from a rigid barrier e. What the musical “Hairspray” says you can’t  stop

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Beats Demo: Tuning forks; Spectrum lab software “beat frequency”: f beat = | f 1 f 2 | “beat period” (or ϖ beat = | ϖ 1 ϖ 2 | )
Beats, cont. Video:  http://stokes.byu.edu/beats_script_flash.html

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Beats: Quick Math cos cos 2cos cos 2 2 a b a b a b + - + = ÷ ÷ ( 29 ( 29 cos(30 ) cos(31 ) 2cos 30.5 cos 0.5 t t t t + = carrier “envelope” (beat) Wait… is beat frequency 0.5 rad/s or is it 1 rad/s?
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