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

Question

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?

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Vân Khánh 6 months 2021-08-27T22:31:51+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-27T22:33:43+00:00

    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.

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