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6. Students are exploring why a musical instrument can be used to produce a range of notes, even if it is of fixed length.
6. Students are exploring why a musical instrument can be used to produce a range of notes, even if it is of fixed length. They model the instrument and its player by using a fixed length of pipe, with a sound source placed at S as shown in the figure below. They expect that this system will act as a pipe open at one end. They find that, as they increase the frequency of the source S, the pipe emits a loud sound (resonance) for frequencies corresponding to wavelengths of 1.2 m, 0.4 m and 0.24 m. S O a. Calculate the length of the pipe. b. C. On the space provided, draw the graph of pressure variation corresponding to the wavelength 1.2 m. (2 marks) (2 marks) On the space provided, draw the graph of displacement corresponding to the wavelength 0.24 m. (2 marks)
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Introduction to Operations Research
Authors: Frederick S. Hillier, Gerald J. Lieberman
10th edition
978-0072535105, 72535105, 978-1259162985
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