12_InstSolManual_PDF_Part20

12_InstSolManual_PDF_Part20 - f 1o 5 v 2 L f 1s 5 v 4 L l 1...

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Solve: (a) and (b) The fundamental standing wave has nodes at each end and no nodes in between. This standing wave has one additional node. This is the 1 st overtone and 2 nd harmonic. (c) (d) and 12.70. Set Up: so Solve: 12.71. Set Up: and Solve: (a) (b) For The percentage increase in the tension is 12.72. Set Up: For a stopped pipe, 3, and For a pipe open at both ends or closed at both ends, 2, and Solve: (a) The first overtone is for and The fundamental mode has and wavelength (b) The fundamental frequency for a stopped pipe is The fundamental frequency for a pipe open at both ends is so The same expression applies to a pipe closed at both ends (Problem 12.28), so 12.73. Set Up: The wall first acts as a listener and then as a source. The positive direction is from listener to source. The bat is moving toward the wall so the Doppler effect increases the frequency and the final frequency received, is greater than the original source frequency, f L2 2 f S1 5 10.0 Hz. f S1 5 2000 Hz. f S1 . f L2 , f 1c 5 294 Hz. f 1o 5 2 f 1s 5 294 Hz.
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Unformatted text preview: f 1o 5 v 2 L , f 1s 5 v 4 L . l 1 5 v f 1 5 344 m / s 147 Hz 5 2.34 m. f 1 5 440 Hz 3 5 147 Hz f 3 5 3 f 1 5 440 Hz. n 5 3 l 5 v f f 1 5 v 2 L . 3, c . n 5 1, f n 5 nf 1 , f 1 5 v 4 L . 5, c . n 5 1, f n 5 nf 1 , 186 N 2 148 N 148 N 5 0.257 5 26%. F ' 5 1 73.4 Hz 65.4 Hz 2 2 1 148 N 2 5 186 N f 1 5 73.4 Hz, F ' 5 1 2 f 1 2 2 1 Lm 2 5 1 2 3 65.4 Hz 42 2 1 0.600 m 21 14.4 3 10 2 3 kg 2 5 148 N f 1 5 1 2 L Å F ' L m 5 1 2 Å F ' Lm . v 5 Å F ' m 5 Å F ' L m . f 1 5 v 2 L Db 5 1 10 dB 2 log I 2 I 1 5 1 10 dB 2 log r 1 2 r 2 2 5 1 20 dB 2 log 1 1.50 m 0.300 m 2 5 14.0 dB. 1 5 mother. 2 5 father, I 2 I 1 5 r 1 2 r 2 2 . Db 5 b 2 2 b 1 5 1 10 dB 2 log I 2 I 1 . b 5 1 10 dB 2 log I I m 5 F ' L v 2 5 1 1.00 N 21 0.500 m 2 1 37.6 m / s 2 2 5 0.354 g. v 5 Å F ' m 5 Å F ' L m v 5 f l 5 1 75.2 Hz 21 0.500 m 2 5 37.6 m / s. l 5 0.500 m. f 5 1 / T 5 75.2 Hz. T 5 0.0133 s. T / 2 5 0.00667 s 12-20 Chapter 12...
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