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Unformatted text preview: Muraj, Hamza – Homework 35 – Due: Apr 28 2006, 4:00 am – Inst: Florin 1 This printout should have 10 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points Radio waves travel at the speed of light: 300000 km / s. What is the wavelength of radio waves re ceived at 90 . 3 MHz on your FM radio dial? Correct answer: 3 . 32226 m. Explanation: Let : v = 300000 km / s = 300 million m / s and f = 90 . 3 MHz = 90 . 3 million Hz . λ = v f = 300 million m / s 90 . 3 million Hz = 3 . 32226 m . 002 (part 1 of 4) 10 points The motion of an object is described by the equation x = (0 . 3 m) cos µ π t 2 ¶ What is the position of the object at 0 . 8 s? Correct answer: 0 . 0927051 m. Explanation: At t = 0 . 8 s, x = (0 . 3 m) cos • π (0 . 8 s) 2 ‚ = 0 . 0927051 m , 003 (part 2 of 4) 10 points What is the amplitude of the motion? Correct answer: 0 . 3 m. Explanation: A = x max = (0 . 3 m) (1) = . 3 m . 004 (part 3 of 4) 10 points What is the frequency of the motion? Correct answer: 0 . 25 Hz. Explanation: x = (0 . 3 m) cos ‡ π 2 t · is of the form x = A cos( ω t ) with an angular velocity of ω = π 2 rad / s. Thus, f = ω 2 π = π 2 1 2 π = . 25 Hz . 005 (part 4 of 4) 10 points What is the period of the motion? Correct answer: 4 s. Explanation: The period is T = 1 f = 1 . 25 Hz = 4 s . 006 (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....
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 Spring '09
 Turner
 Sin, Periodic function, Metre, Muraj

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