sol19 - cut in half Exercises 16 We known that the measured...

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PHYSICS 103 Chapter 16 -- HW #19 Questions 26. The wavelength of the fundamental standing wave on a guitar string is determined solely by the length of the string. Therefore, the tension of the string does not affect the wavelength. The tension does affect the speed of the waves on the string, and therefore the frequency of the string. 32. We know that the fundamental wavelength for an open organ pipe is twice the length of the pipe and that the fundamental wavelength for a closed organ pipe is four times the length of the pipe. Therefore, the wavelength doubles when you close one of the ends of the open organ pipe. Because the speed of sound does not change, the frequency must be
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Unformatted text preview: cut in half. Exercises 16. We known that the measured frequencies for the guitar string must be integer multiples of the lowest, or fundamental, frequency. Therefore, the fundamental frequency must be 150 Hz and these frequencies correspond to the 4 th , 5 th , and 6 th harmonics, respectively. 20. An open organ pipe is open at both ends. The fundamental wavelength is twice the length of the tube. Therefore, 1 2 2.4 m L λ = = and the fundamental frequency can be calculated from the wave equation 1 1 343 m s 143 Hz 2.4 m v f = = = λ This pipe has all harmonics, so 2 1 2 283 Hz f f = = 3 1 3 429 Hz f f = = 4 1 4 572 Hz, and so on f f = =...
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