12_InstSolManual_PDF_Part23

# 12_InstSolManual_PDF_Part23 - Mechanical Waves and Sound...

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The source is moving away and the frequency is lowered. (b) The water serves as a listener (Figure 12.78b). The source and listener are approaching and the frequency is raised. Both the person and the water are at rest so there is no Doppler effect when the water serves as a source and the per- son is the listener. The person detects sound with frequency 2920 Hz and wavelength 0.118 m. (c) 12.79. Set Up: Apply to the sound from each wire to find expressions for and the frequencies of the sounds from wires A and B as detected by the bee. Solve: wire A (Figure 12.79a) Figure 12.79 wire B (Figure 12.79b) so and Reflect: because the bee is flying toward A and because the bee is flying away from B . 12.80. Set Up: Compare the stick to a vibrating air column, for which we know the standing wave wavelengths. Solve: (a) The ends are free to move and are displacement antinodes.
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Unformatted text preview: (b) The stick has the same nodal structure as an open pipe. 2, The wavelength of the first five harmonics are: and l 5 5 1.20 m. l 4 5 1.50 m l 3 5 2.00 m, l 2 5 3.00 m, l 1 5 6.00 m, 3, c . n 5 1, l n 5 2 L n 5 6.00 m n , f LB , f S f LA . f S f S 5 320 Hz 1.0233 f S 2 0.9767 f S 5 15 Hz f LA 2 f LB 5 15 Hz f LB 5 1 v 2 8.0 m / s v 2 f S 5 0.9767 f S ( a ) A v 5 S f S ( b ) B S f S 1 1 L 8.0m / s f LA L 8.0m / s f LB f LA 5 1 v 1 8.0 m / s v 2 f S 5 1.0233 f S v 5 344 m / s. f LA 2 f LB 5 15 Hz. f LB , f LA f L 5 1 v 1 v L v 1 v S 2 f S f beat 5 f 1 2 f 2 5 2920 Hz 2 2186 Hz 5 734 Hz l L 5 v f L 5 0.118 m f L 5 1 v v 2 49.5 m / s 2 f S 5 2920 Hz l L 5 v f L 5 344 m / s 2186 Hz 5 0.157 m. Mechanical Waves and Sound 12-23...
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