The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?

Question

01-05-2021
Mathematics

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The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?

Sagot :

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Francocanacariidn Francocanacariidn · Answer 1 · 2021-05-05T20:08:34-04:00

Answer:

The wavelength of the second pitch is 12.23 feet.

Step-by-step explanation:

Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:

321 = 10.5

374 = X

374 x 10.5 / 321 = X

3927/321 = X

12.23 = X

Therefore, the wavelength of the second pitch is 12.23 feet.

Sagot :

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