Daily_001.SOLN - where v = 343 m/s is the speed of sound in...

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© 2011 E. Szarmes PHYS 274 DAILY ASSIGNMENT 1 — DUE WEDNESDAY, JAN 19/11 PROF. SZARMES Q1B.1 The following figures represent the positions of the waves (each moving with a speed of 5 cm/s) at times t = 0, 2, 3, 4, and 6 s. The dashed lines show their individual (unperturbed) shapes, and the solid lines show their superpositions at those times. Q1B.5 An organ pipe of length L open at both ends (analogous to a string fixed at both ends) has normal modes of oscillation whose frequencies are given by
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Unformatted text preview: , where v = 343 m/s is the speed of sound in air (Example Q1.1, p. 16). If the fundamental mode (n = 1) has a frequency of f 1 = 440 Hz, then the length of the pipe is calculated to be L = 0.38977 m. Since the harmonic frequencies in this case are directly proportional to the fundamental frequency (f n = n f 1 ), the frequencies of its first three harmonics (n = 2, 3, 4) are f 2 = 2 (440 Hz) = 880 Hz f 3 = 3 (440 Hz) = 1320 Hz f 4 = 4 (440 Hz) = 1760 Hz . f n = n v 2L...
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This note was uploaded on 03/07/2011 for the course PHYS 274 taught by Professor Ericszarmes during the Spring '11 term at University of Hawaii, Manoa.

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