12_InstSolManual_PDF_Part14 - with the positive direction...

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12.54. Set Up: Tightening the string increases the wave speed for transverse waves on the string and this in turn increases the frequency. Solve: (a) If the beat frequency increases when she raises her frequency by tightening the string, it must be that her frequency is 433 Hz, 3 Hz above concert A . (b) She needs to lower her frequency by loosening her string. 12.55. Set Up: The positive direction is from listener to source. Solve: (a) (b) (c) (d) Reflect: If the train were at rest, the wavelength of the sound from its whistle would be When the listener is in front of the source, the source is approaching. The frequency is increases and the wavelength is decreased. When the listener is behind the source, the source is moving away. The frequency is decreased and the wavelength is increased. 12.56. Set Up: The positive direction is from listener to source. (a) (b) (c) 12.57. Set Up: The positive direction is from listener to source. Solve: gives Reflect: since the source is approaching the listener. 12.58. Set Up: Let one bird be the listener and the other be the source. Use coordinates as shown in Figure 12.58,
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Unformatted text preview: with the positive direction from listener to source. Figure 12.58 L S 50.0 m / s 50.0 m / s f S 5 1750 Hz 1 f L 5 1 v 1 v L v 1 v S 2 f S f L . f S v 5 v S f L f S 2 f L 5 1 2 25 m / s 21 1240 Hz 2 1200 Hz 2 1240 Hz 5 780 m / s. f L 5 1 v v 1 v S 2 f S v S 5 2 25.0 m / s. v L 5 0. f L 5 1 v 1 v L v 1 v S 2 f S . f L 5 1240 Hz. f S 5 1200 Hz. f beat 5 f 1 2 f 2 5 4 Hz f L 5 1 v 1 v L v 1 v S 2 f S 5 1 344 m / s 1 15.0 m / s 344 m / s 1 35.0 m / s 2 1 392 Hz 2 5 371 Hz v L 5 1 15.0 m / s. v S 5 1 35.0 m / s. f L 5 1 v 1 v L v 1 v S 2 f S 5 1 344 m / s 2 15.0 m / s 344 m / s 2 1 392 Hz 2 5 375 Hz v L 5 2 15.0 m / s. v S 5 0. f S 5 392 Hz. 344 m / s 400 Hz 5 0.860 m. f L 5 1 344 m / s 344 m / s 1 25.0 m / s 2 1 400 Hz 2 5 373 Hz v S 5 1 25.0 m / s. f L 5 1 v v 1 v S 2 f S 5 1 344 m / s 344 m / s 2 25.0 m / s 2 1 400 Hz 2 5 431 Hz v S 5 2 25.0 m / s. l 5 344 m / s 1 25.0 m / s 400 Hz 5 0.922 m v S 5 1 25.0 m / s. l 5 v 1 v S f S 5 344 m / s 2 25.0 m / s 400 Hz 5 0.798 m. v S 5 2 25.0 m / s. f beat 5 f 1 2 f 2 . 12-14 Chapter 12...
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