OLDHW33 - oldhomewk 33 PAPAGEORGE, MATT Due: Apr 28 2008,...

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Unformatted text preview: oldhomewk 33 PAPAGEORGE, MATT 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 . 8 Hz, a transverse wave of wavelength 76 . 5 cm is produced. Determine the speed of wave pulses along the wire. Correct answer: 2 . 907 m / s (tolerance 1 %). Explanation: If the frequency is f and the wavelength is then the speed of wave is v = f = (3 . 8 Hz) (76 . 5 cm) (0 . 01 m / cm) = 2 . 907 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 104 . 5 MHz on your FM radio dial? Correct answer: 2 . 87081 m (tolerance 1 %). Explanation: Let : v = 300000 km / s = 300 million m / s and f = 104 . 5 MHz = 104 . 5 million Hz . = v f = 300 million m / s 104 . 5 million Hz = 2 . 87081 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- t- 1 ) and y 2 = A sin( k x- t- 2 ) , where k = 7 m- 1 , A = 3 m , = 115 rad / s , 1 = 0 rad , and 2 = 3 rad . What is the frequency of the resultant wave y = y 1 + y 2 ? Correct answer: 18 . 3028 Hz (tolerance 1 %). Explanation: From the basic trigonometric relation sin 1 + sin 2 = sin 1 + 2 2 cos 1- 2 2 , where 1 = k x- t- 1 and 2 = k x- t- 2 ....
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This note was uploaded on 03/02/2009 for the course PHY 58235 taught by Professor Kleinman during the Spring '09 term at University of Texas at Austin.

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OLDHW33 - oldhomewk 33 PAPAGEORGE, MATT Due: Apr 28 2008,...

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