12_InstSolManual_PDF_Part3 - 3 41.9 m 2 1 43 0.135 m 42 1 x...

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(e) while m stays the same and Reflect: The speed increases when the tension in the wire increases and the speed decreases when the mass per unit length increases. 12.10. Set Up: The general form of for a wave traveling in the direction is Solve: Compare given in the problem to the general form. (a) (b) (c) and (d) (e) The wave is propagating in the direction. 12.11. Set Up: Wave number The general form for is Solve: (a) (b) (c) 12.12. Set Up: For a wave traveling in the direction, Solve: By comparing to the general equation, and and (a) (b) The wave is traveling in the direction. (c) 12.13. Set Up: For a wave traveling in the direction, and Solve: By comparing to the general equation, and and Reflect: A 1-meter length of the string has a mass of 0.0465 kg and a weight of about 1.6 ounces. This is a reason- able value. m 5 F T v 2 5 4.00 N 1 9.27 m / s 2 2 5 4.65 3 10 2 2 kg / m 5 0.465 g / cm v 5 f l 5 l T 5 0.140 m 0.0151 s 5 9.27 m / s. l 5 0.140 m. T 5 0.0151 s 2 p l 5 44.9 m 2 1 . 2 p T 5 415 s 2 1 v 5 Å F T m . v 5 f l y 1 x , t 2 5 A sin 2 p 1 t T 2 x l 2 . 1 x y 1 0.135 m, 0.100 s 2 5 2 0.870 mm y 1 0.135 m, 0.100 s 2 5 1 1.50 mm 2 sin 13 157 s 2 1 43 0.100 s 4 2 3 41.9 m
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Unformatted text preview: 3 41.9 m 2 1 43 0.135 m 42 1 x v 5 f l 5 1 25.0 Hz 21 0.150 m 2 5 3.75 m / s. A 5 1.50 mm f 5 1 T 5 25.0 Hz. l 5 0.150 m. l 5 0.150 m. T 5 0.0400 s A 5 1.50 mm. 2 p l 5 41.9 m 2 1 2 p T 5 157 m 2 1 , v 5 l f . y 1 x , t 2 5 A sin 2 p 1 t T 2 x l 2 . 1 x y 5 2 1 0.0700 m 2 sin 1 16.5 rad 2 5 0.0498 m y 1 0.360 m, 0.150 s 2 5 2 1 0.0700 m 2 sin 2 p 1 0.150 s 0.0400 s 2 0.360 m 0.320 m 2 y 1 x , t 2 5 2 1 0.0700 m 2 sin 2 p 1 t 0.0400 s 2 x 0.320 m 2 k 5 2 p l 5 19.6 rad / m. T 5 1 / f 5 0.0400 s. f 5 v l 5 8.00 m / s 0.320 m 5 25.0 Hz. y 1 x , t 2 5 A sin 2 p 1 t T 2 x l 2 . y 1 x , t 2 k 5 2 p / l . T 5 1 / f . v 5 f l . 1 x v 5 f l 5 1 27.8 Hz 21 0.280 m 2 5 7.78 m / s f 5 1 / T 5 27.8 Hz T 5 0.0360 s l 5 0.280 m A 5 6.50 mm y 1 x , t 2 v 5 f l . y 1 x , t 2 5 A sin 2 p 1 t T 2 x l 2 . 1 x y 1 x , t 2 m V new 5 " 2 1 10 2 V 5 2 " 5 V M S 10 M ; L S 2 L Mechanical Waves and Sound 12-3...
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