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In: Physics

A trombone is one of the musical instruments demonstrated in class. For this problem, treat a...

A trombone is one of the musical instruments demonstrated in class.

For this problem, treat a trombone as a pipe, open at one end, with a length of 2.7 m when the slide is all the way in. Assume the speed of sound in air is 343 m/s.

Part A: Music What class of musical instruments does the trombone belong to? What is the ultimate source of vibrations for a trombone? How does a musician change the pitch of a trombone when tuning it and when playing it?

Part B: Harmony Sketch the first 3 harmonics for the trombone. Indicate the nodes and antinodes.

Part C: Pitch What are the frequency and wavelength of each of the first 3 harmonics (assuming the slide is all the way in)?

Part D: Beats The trombonist plays a tone generator which produces A-220, a tone at 220 Hz. When the trombonist plays an A note on the trombone, they notice it’s not in tune, and they hear beats at 2 Hz. What frequency is the trombone actually playing? Please give all the possible answers.

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