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?

Answer 1

The wavelength of the second pitch is 12.23 feet.

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.