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oldHWK33 - oldhomewk 33 VALENCIA DANIEL Due 4:00 am...

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oldhomewk 33 – VALENCIA, DANIEL – Due: Apr 28 2008, 4:00 am 1 Question 1, chap 16, sect 1. part 1 of 1 10 points When a particular wire is vibrating with a frequency of 3 . 1 Hz, a transverse wave of wavelength 38 . 8 cm is produced. Determine the speed of wave pulses along the wire. Correct answer: 1 . 2028 m / s (tolerance ± 1 %). Explanation: If the frequency is f and the wavelength is λ then the speed of wave is v = f λ = (3 . 1 Hz) (38 . 8 cm) (0 . 01 m / cm) = 1 . 2028 m / s Question 2, chap 16, sect 2. 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 103 . 1 MHz on your FM radio dial? Correct answer: 2 . 9098 m (tolerance ± 1 %). Explanation: Let : v = 300000 km / s = 300 million m / s and f = 103 . 1 MHz = 103 . 1 million Hz . λ = v f = 300 million m / s 103 . 1 million Hz = 2 . 9098 m . Question 3, chap 16, sect 2. part 1 of 1 10 points Two harmonic waves are described by y 1 = A sin( k x - ω t - φ 1 ) and y 2 = A sin( k x - ω t - φ 2 ) , where k = 4 m - 1 , A = 5 m , ω = 504 rad / s , φ 1 = 0 rad , and φ 2 = 4 rad . What is the frequency of the resultant wave y = y 1 + y 2 ? Correct answer: 80 . 2141 Hz (tolerance ± 1 %). Explanation: From the basic trigonometric relation sin θ 1 + sin θ 2 = sin θ 1 + θ 2 2 cos θ 1 - θ 2 2 , where θ 1 = k x - ω t - φ 1 and θ 2 = k x - ω t - φ 2 .
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