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What are the first three overtones of a bassoon that has a fundamental frequency of 90.0 Hz? It is open at both ends. (The overtones of a real bassoon are more complex than this example, because its double reed makes it act more like a tube closed at one end.)

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Physics 101 Mechanics

Chapter 17

Physics of Hearing

Sound and Hearing

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

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everyone. This is question number 44 from Chapter 17. In this problem, we are given a bassoon that has a fundamental frequency of 90 hurts, and we're told it's open on both ends were asked to find the 1st 3 overtones. So at first this doesn't seem like a lot of information, but always start by just writing equations. You can start to think about the problem, and when we're dealing with overtones, we have this equation. F equals end, and the key here is that it's open on both ends, which is going to give us his two l equation. So our first overtone, or excuse me, are the fundamental frequency which would be an equal to one gives us 90 hurts. It's now the key to remember here is vey over too. Well, that's not gonna change. So we just have f equals two times. Be over to Owen should be 90 because we just determined the equal. So one equals 90. So this is our first overtone F one equals two times 90 equals 180 hurts our second overtone three times 90 270 hurts. And our third overtone four times 90 360 hertz. So those are your three overtones. One, too three

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