Question

The production of sound during speech or singing is a complicated process. Let's concentrate on the mouth. A typical depth for the human mouth is about 8.3 cm, although this number can vary. (Check it against your own mouth.) We can model the mouth as an organ pipe that is open at the back of the throat. No Figure. What are the wavelengths of the first four harmonics you can produce if your mouth is open? Express your answers in centimeters separated by commas. What are the frequencies of the first four harmonics you can produce if your mouth is open? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas. What are the wavelengths of the first four harmonics you can produce if your mouth is closed? Express your answers in centimeters separated by commas. What are the frequencies of the first four harmonics you can produce if your mouth is closed? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas.

          The production of sound during speech or singing is a complicated process. Let's concentrate on the mouth. A typical depth for the human mouth is about 8.3 cm, although this number can vary. (Check it against your own mouth.) We can model the mouth as an organ pipe that is open at the back of the throat. No Figure.

What are the wavelengths of the first four harmonics you can produce if your mouth is open? Express your answers in centimeters separated by commas.

What are the frequencies of the first four harmonics you can produce if your mouth is open? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas.

What are the wavelengths of the first four harmonics you can produce if your mouth is closed? Express your answers in centimeters separated by commas.

What are the frequencies of the first four harmonics you can produce if your mouth is closed? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas.

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Added by Joshua A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Jagjit Singh Chander

09/17/2022

Step 1

3 cm = 16.6 cm - Second harmonic: λ2 = 8.3 cm - Third harmonic: λ3 = 2 * 8.3 cm / 3 = 5.5 cm - Fourth harmonic: λ4 = 8.3 cm / 2 = 4.15 cm Show more…

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The production of sound during speech or singing is a complicated process. Let's concentrate on the mouth. A typical depth for the human mouth is about 8.3 cm, although this number can vary. (Check it against your own mouth.) We can model the mouth as an organ pipe that is open at the back of the throat. No Figure. What are the wavelengths of the first four harmonics you can produce if your mouth is open? Express your answers in centimeters separated by commas. What are the frequencies of the first four harmonics you can produce if your mouth is open? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas. What are the wavelengths of the first four harmonics you can produce if your mouth is closed? Express your answers in centimeters separated by commas. What are the frequencies of the first four harmonics you can produce if your mouth is closed? Use 354 m/s for the speed of sound. Express your answer in hertz separated by commas.

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Transcript

00:01 Now as shown in the diagram, this is the back end of the mouth and the back end of the mouth is open as mentioned.

00:12 And if the mouth is open, this is the back end of the throat actually.

00:17 This is the back end of the throat, which is open.

00:21 And this is the length of the throat.

00:25 This is the length of the throat and the length is 8 .3 centimeter.

00:30 And at the end of the throat we have the mouth so in case one when mouth is also open this becomes an open organ pipe and we know that the first harmonic in open organ pipe has wavelength lambda 1 is equal to 2 l right so we just put the value of l l is 8 .3 centimeter.

01:01 So it's 2 multiplied by 8 .3.

01:09 We converted into meter.

01:11 So this becomes 0 .083 meter.

01:20 So the first will be 0 .166 meter.

01:27 This is the first harmony.

01:29 Now in open organ pie, the second harmonic is is is equal to l these are the means from the basic knowledge of means number of hard number of harmonies and their formula related to an open organ pipe as a mouth is open back end of the throat is open so this becomes an open organ pipe open at both ends right so second second means means hard means means harmonic is equal to length so this becomes the length is 0 .083 meter this is the wavelength of second harmony now third heart third means means harmonic is three is is is two l by three right is two l by three these are the standards for means formula so we multiply two into zero point zero eight three divided by three this comes out to be 0 .055 meter and the fourth harmony is equal to l by 2 it means it is 0 .083 upon 2 it is 0 .0 415 meter these are the 4 wave length of 4 means harmony now we need to find out the means frequency corresponding to this wavelength considering the speed of the sound as 354 meter per second as mentioned in the problem...

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