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Weekly_001.SOLN - 2011 E Szarmes PHYS 274 Q1R.2 a WEEKLY...

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© 2011 E. Szarmes P HYS 274 W EEKLY A SSIGNMENT 1 — DUE M ONDAY , J AN 24/11 P ROF . S ZARMES Q1R.2 a) Although buzzing lips do not emit a single frequency, there is a vaguely discernable pitch which emphasizes vibrations within a narrow range of frequencies. If this range includes one of the resonant frequencies (modes) of the bugle, it will build up a resonant, standing wave pattern corresponding to that normal mode. That is the normal mode frequency that is emitted from the open end of the bugle. b) In a bugle (which is a tube either open at both ends or closed at one end; we haven’t figured it out yet), only certain discrete and well separated frequencies can be supported. If the frequencies produced by the buzzing lips fall between two of these normal mode frequencies, no resonances will be excited and no sound will emerge. c) For the present case, we don’t yet know if the bugle is open at both ends or closed at one end, but we know that the frequency difference between adjacent normal modes is the same: Open/Open: Open/Closed: The frequency difference between adjacent normal modes in both cases is given by For the bugle, we calculate: i) Δ f ~ 392 Hz – 329 Hz = 63 Hz ii) Δ
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