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Unformatted text preview: homework 34 – PAPAGEORGE, MATT – Due: Apr 22 2008, 4:00 am 1 Question 1, chap 16, sect 4. part 1 of 2 10 points A standing wave of frequency 5 hertz is set up on a string 2 meters long with nodes at both ends and in the center, as shown. 2 meters Find the speed at which waves propagate on the string. 1. 10 m / s correct 2. 2 . 5 m / s 3. . 4 m / s 4. 20 m / s 5. 5 m / s Explanation: Let : f = 5 Hz and λ = 2 m . The wavelength is λ = 2 m, so the wave speed is  vectorv  = f λ = (5 Hz)(2 m) = 10 m/s . Question 2, chap 16, sect 4. part 2 of 2 10 points Find the fundamental frequency of vibra tion of the string. 1. 10 Hz 2. 5 Hz 3. 2 . 5 Hz correct 4. 7 . 5 Hz 5. 1 Hz Explanation: 2 meters The fundamental wave has only two nodes at the ends, so its wavelength is λ = 4 m and the fundamental frequency is f = v λ = 10 m / s 4 m = 2.5 Hz . Question 3, chap 16, sect 4. part 1 of 4 10 points To demonstrate standing waves, one end of a string is attached to a tuning fork with frequency 270 Hz. The other end of the string passes over a pulley and is connected to a suspended mass M , as shown. The value of M is such that the stand ing wave pattern has four loops “antinodes”. The length of the string from the tuning fork to the point where the string touches the top of the pulley is 1 . 9 m. The linear density of the string is 8 × 10 5 kg / m, and remains constant throughout the experiment. The acceleration of gravity is 9 . 8 m / s 2 . M Tuning Fork Pulley 1 . 9 m 270 Hz Determine the wavelength of the standing wave. Correct answer: 0 . 95 m (tolerance ± 1 %). Explanation: Let : n = 4 , homework 34 – PAPAGEORGE, MATT – Due: Apr 22 2008, 4:00 am 2 f = 270 Hz , L = 1 . 9 m , and μ = 8 × 10 5 kg / m ....
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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.
 Spring '09
 KLEINMAN
 Physics, Work

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