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posted by  TaiJ on 11/5/2009 12:29:36 AM  |  status: Closed  |  Earned Karma: 25

Solving the problem

Course Textbook Chapter Problem Needs by
Calculus Based Physics Physics for Scientists and Engineers (6th) by Tipler, Mosca 16 53CP 11/9/2009 at 11:00:00 PM
Question Details:
A 107-cm-long pipe is stopped at one end. Near the open end, there is a loudspeaker that is driven by an audio oscillator whose frequency can be varied from 10.0 to 4600 Hz. (Take the speed of sound to be 343 m/s.) (a) What is the lowest frequency of the oscillator that will produce resonance within the tube?
(b) What is the highest frequency that will produce resonance?
(c) How many different frequencies of the oscillator will produce resonance? (Neglect the end correction.)
3
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posted by E=mc*c (MNV) on 11/5/2009 5:12:39 AM  |  status: Live
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Response Details:
A 107-cm-long pipe is stopped at one end. Near the open end, there is a loudspeaker that is driven by an audio oscillator whose frequency can be varied from 10.0 to 4600 Hz. (Take the speed of sound to be 343 m/s.) (a) What is the lowest frequency of the oscillator that will produce resonance within the tube?

lowest frequency=v/4l=343/4*1.07=80.14=80Hz(approximate)
(b) What is the highest frequency that will produce resonance?
next higher  frequencies will be in the ration 1:3:5:7etc
hence
the highest  frequency =57*80=4560Hz

(c) How many different frequencies of the oscillator will produce resonance? (Neglect the end correction.)
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57
  
so 29

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