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Unformatted text preview: MAPUA INSTITUTE OF TECHNOLOGY Department of Physics E303: Sound Wave: Resonant Frequency and Velocity XXXXXXXXXXXXX 2005XXXXXX XXXX, Group 1 PHY130LXX XXXXXXX SAMPLE COMPUTATIONS Table 1. Determination of the Resonant Frequencies of the Tube Resonant Frequencies for an Open Tube Given: Solution: Resonant Frequencies for a Closed Tube Given: Solution: Hz f Hz f 8 . 357 188 = = 90319 . 1 188 8 . 357 = = = resonant resonant resonant f Hz Hz f f f f Hz f Hz f 3 . 336 2 . 110 = = 0517 . 3 2 . 110 3 . 336 = = = resonant resonant resonant f Hz Hz f f f f GUIDE QUESTIONS 1. Which tube configuration gives a series of consecutive whole numbers? Open tube; 1, 2, 3… 2. Is the number series the same for both the open and closed tube? Support your answer with a brief explanation. No, since the air can only freely move at the opened part of the tube, thus the sound waves will be different since air is a medium on which sound travels. PROBLEM 1. The wavelength of a soundwave in an open tube of length 100cm is 15.5cm. If the surrounding air temperature is 25 degrees Celcius, find the resonating frequency of the air column inside the tube. Given: Solution: 2. A tube 1.2m long is open at both ends. A 5g wire of length 0.50m is stretched and is placed near one of the ends of the tube. If the wire vibrates at its fundamental mode and sets the air column in resonance at its fundamental frequency, find (a) the tension in the wire. (b) its fundamental frequency. Given: Solution: ( 29 ( 29 s m V V t V air air air / 347 25 6 . 332 6 . 332 = + = + = C t cm 25 5 . 15 = = λ s f m s m f v f f v 71 . 2238 155 . / 347 = = = = λ λ m L m l g m 2 . 1 5 . 5 = = = (a) (b) 3. Weak noises from an auditorium set up the fundamental standing wave in a cardboard tube of length L = 60cm with two open ends. The temperature inside the auditorium is 20 degrees Celsius. What is the frequency that you can hear from the tube? Given: ( 29 g F m g m F L F F L f m g m g l m 434 . 5 . 2 2 . 1 2 1 2 1 2 1 5 . 2 5 . 5 2 2 1 = = = = = = = μ μ μ μ μ ( 29 ( 29 ( 29 ( 29 s f m m g g f L F n f L v n f / 417 ....
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This document was uploaded on 01/20/2012.
 Spring '09
 Physics

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