OLDHW34 - oldhomewk 34 PAPAGEORGE MATT Due 4:00 am Question...

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oldhomewk 34 – PAPAGEORGE, MATT – Due: Apr 28 2008, 4:00 am 1 Question 1, chap 16, sect 2. part 1 of 1 10 points The distance between two successive max- ima of a certain transverse wave is 1 . 52 m. Eight crests, or maxima, pass a given point along the direction of travel every 15 . 1 s. Calculate the wave speed. Correct answer: 0 . 805298 m / s (tolerance ± 1 %). Explanation: f = 8 15 . 1 s = 0 . 529801 Hz , and v = λ f = (1 . 52 m)(0 . 529801 Hz) = 0 . 805298 m / s . Question 2, chap 16, sect 2. part 1 of 3 10 points The time needed for a water wave to change from the equilibrium level to the crest is 0 . 4121 s. What fraction of a wavelength is this? Correct answer: 0 . 25 (tolerance ± 1 %). Explanation: The movement from the equilibrium level to the crest represents 1 4 of a wavelength. Question 3, chap 16, sect 2. part 2 of 3 10 points What is the period of the wave? Correct answer: 1 . 6484 s (tolerance ± 1 %). Explanation: The period T of the wave is thus T = 4 t = 1 . 6484 s Question 4, chap 16, sect 2. part 3 of 3 10 points What is the frequency of the wave? Correct answer: 0 . 606649 Hz (tolerance ± 1 %). Explanation: The frequency is f = 1 T = 0 . 606649 Hz Question 5, chap 16, sect 2. part 1 of 1 10 points A harmonic wave y = A sin[ k x - ω t - φ ] , where A = 1 meter, k has units of m - 1 , ω has units of s - 1 , and φ has units of radians, is plotted in the diagram below. +1 - 1 A (meters) t (seconds) 6 12 18 At the position x = 0 Which wave function corresponds best to the diagram? 1. y = A sin bracketleftbigg k x - parenleftbigg 2 π 3 s parenrightbigg t - parenleftbigg 4 π 3 parenrightbiggbracketrightbigg 2. y = A sin bracketleftbigg k x - parenleftbigg 2 π 15 s parenrightbigg t - parenleftbigg 2 π 3 parenrightbiggbracketrightbigg 3. y = A sin bracketleftbigg k x - parenleftbigg 2 π 15 s parenrightbigg t - parenleftbigg 4 π 3 parenrightbiggbracketrightbigg 4. y = A sin bracketleftbigg k x - parenleftbigg 2 π 9 s parenrightbigg t - parenleftbigg 5 π 3 parenrightbiggbracketrightbigg cor- rect 5. y = A sin bracketleftbigg k x - parenleftbigg 2 π 3 s parenrightbigg t - parenleftbigg 2 π 3
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