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hw37 - homework 37 Turner(58185 This print-out should have...

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This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 4) 10.0 points A traveling wave propagates according to the expression y = (5 . 33 cm) sin bracketleftBig (1 . 93 cm 1 ) x - (3 . 58 s 1 ) t bracketrightBig , where x is in centimeters, and t is in seconds. Find the amplitude of the wave. Correct answer: 5 . 33 cm. Explanation: Let : A = 5 . 33 cm . Given a wave y = A sin( k x - ω t ), the ampli- tude of the wave is A = 5 . 33 cm . 002 (part 2 of 4) 10.0 points Determine the wavelength of the wave. Correct answer: 3 . 25554 cm. Explanation: Let : k = 1 . 93 cm 1 . The angular wave number of the wave is k , so λ = 2 π k = 2 π 1 . 93 cm 1 = 3 . 25554 cm . 003 (part 3 of 4) 10.0 points Determine the frequency of the wave. Correct answer: 0 . 569775 Hz. Explanation: Let : ω = 3 . 58 s 1 . The angular frequency of the wave is ω , so f = ω 2 π = 3 . 58 s 1 2 π = 0 . 569775 Hz . 004 (part 4 of 4) 10.0 points Determine the period of the wave. Correct answer: 1 . 75508 s. Explanation: The period of the wave is T = 1 f = 1 0 . 569775 Hz = 1 . 75508 s . 005 10.0 points The red light emitted by a He-Ne laser has a wavelength of 633 nm in air and travels at 3 . 00 × 10 8 m/s. Find the frequency of the laser light. Correct answer: 4 . 73934 × 10 14 Hz. Explanation: Let : λ = 633 nm and v = 3 × 10 8 m / s . The speed of light is given by v = f λ f = v λ = 3 × 10 8 m / s 633 nm · 10 9 nm 1 m = 4 . 73934 × 10 14 Hz . 006 10.0 points A wave on a string is described by the wave function y = (0 . 1 m) sin[(0 . 5 rad / m) x - (20 rad / s) t ] Determine the frequency of oscillation of a particular point at x = 2 . 0 m. Correct answer: 3 . 1831 Hz. Explanation: Let : ω = 20 rad / s . In fact, when a wave with frequency f trav- els along a string, any point of the string has the same oscillation frequency f . In this case, f = ω 2 π = 20 rad / s 2 π = 3 . 1831 Hz keywords: 007 (part 1 of 2) 10.0 points A steel piano wire is 0 . 7 m long and has a homework 37 – Turner – (58185) 1
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hinojosa (jlh3938) – homework 37 – Turner – (58185) 2 mass of 90 g. It is stretched with a tension of 100 N.
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