homework 32-solutions

# homework 32-solutions - klare (alk736) homework 32 Turner...

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klare (alk736) – homework 32 – Turner – (58220) 1 This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 oF 4) 10.0 points A traveling wave propagates according to the expression y = (3 . 81 cm) sin ± (2 . 11 cm - 1 ) x - (3 . 41 s - 1 ) t ² , where x is in centimeters, and t is in seconds. ±ind the amplitude oF the wave. Correct answer: 3 . 81 cm. Explanation: Let : A =3 . 81 cm . Given a wave y = A sin( kx - ω t ), the ampli- tude oF the wave is A . 81 cm . 002 (part 2 oF 4) 10.0 points Determine the wavelength oF the wave. Correct answer: 2 . 97781 cm. Explanation: Let : k =2 . 11 cm - 1 . The angular wave number oF the wave is k , so λ = 2 π k = 2 π 2 . 11 cm - 1 = 2 . 97781 cm . 003 (part 3 oF 4) 10.0 points Determine the Frequency oF the wave. Correct answer: 0 . 542718 Hz. Explanation: Let : ω . 41 s - 1 . The angular Frequency oF the wave is ω , so f = ω 2 π = 3 . 41 s - 1 2 π = 0 . 542718 Hz . 004 (part 4 oF 4) 10.0 points Determine the period oF the wave. Correct answer: 1 . 84258 s. Explanation: The period oF the wave is T = 1 f = 1 0 . 542718 Hz = 1 . 84258 s . 005 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 . 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: 006 (part 1 oF 2) 10.0 points A steel piano wire is 0 . 7 m long and has a mass oF 9 g. It is stretched with a tension oF 200 N. What is the speed oF transverse waves on the wire?

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## This note was uploaded on 11/03/2010 for the course PHYSICS 303 taught by Professor Shih during the Spring '10 term at University of Texas.

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homework 32-solutions - klare (alk736) homework 32 Turner...

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