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What length should an oboe have to produce a fundamental frequency of 110 Hz on a day when the speed of sound is 343 m/s? It is open at both ends.

$l = 1.55 \mathrm { m }$

Physics 101 Mechanics

Chapter 17

Physics of Hearing

Sound and Hearing

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

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everyone. This is question number 46 from Chapter 17 and this problem we're given a fundamental frequency of 100 and 10 hurts when the speed of sound is 343 were also told the instrument where told the question that it's an oboe is open at both ends. So we're asked if I the length of the oboe that's needed to satisfy this so I wouldn't rode out. Our fundamentals are frequency equation for something that's, ah, two bits open at both ends and we just need to solve for l hear fundamental frequency is gonna set this end equal toe one also call resident's frequency so we could just go ahead and solve this equation. So multiply two l over and we divide f over to the other side. Since end is just one. It's gonna do anything. We have 343 meters per second, divided by 110 hertz equals to l. We divide that and then we moved. We divide by two and you get the necessary length is equal to 1.56 meters. If you think of that, that's over four feet. Logs. That'd be a really long instrument

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