A flute can be modeled as an open-open tube. My flute is L = 0.5969 m from mouthpiece (one open end) and the end (the other open end). Assume 20 oc. a) What is the frequency of the m = 3 mode when the flute is open to atmosphere only at the two open ends? b) I lift a key that creates a hole 2L/5 from the open end. Recall that this hole opens to atmospheric pressure, as do the open ends. Draw the lowest-frequency mode that meets the boundary conditions at the two open ends and this new hole at 2L/5. ii. Calculate the frequency and wavelength of this mode

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Chapter1: Units, Trigonometry. And Vectors
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A flute can be modeled as an open-open tube. My flute is L = 0.5969 m from mouthpiece (one open end) and the end (the other open end). Assume 20 oc.

  1. a) What is the frequency of the m = 3 mode when the flute is open to atmosphere only at the two open ends?
  2. b) I lift a key that creates a hole 2L/5 from the open end. Recall that this hole opens to atmospheric pressure, as do the open ends.
  3. Draw the lowest-frequency mode that meets the boundary conditions at the two open ends and this new hole at 2L/5.

ii. Calculate the frequency and wavelength of this mode

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