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Summary. The relationship of the speed of sound vw, its frequency f, and its wavelength λ is given by vw = fλ, which is the same relationship given for all waves. In air, the speed of sound is related to air temperature T by vw = (331m / s)√ T 273K. vw is the same for all frequencies and wavelengths. Glossary.
This equation is similar to the periodic wave equations seen in Waves, where \(\Delta\)P is the change in pressure, \(\Delta P_{max}\) is the maximum change in pressure, \(k = \frac{2 \pi}{\lambda}\) is the wave number, \(\omega = \frac{2 \pi}{T} = 2 \pi f\) is the angular frequency, and \(\phi\) is the initial phase.
As an example, for water waves, v w is the speed of a surface wave; for sound, v w is the speed of sound; and for visible light, v w is the speed of light. The amplitude X is completely independent of the speed of propagation v w and depends only on the amount of energy in the wave.
v = fλ, v = f λ, 14.1. where v is the speed of sound (in units of m/s), f is its frequency (in units of hertz), and λ λ is its wavelength (in units of meters). Recall that wavelength is defined as the distance between adjacent identical parts of a wave.
The loudness of a sound is a measure of the amplitude of the wave. The greater the amplitude, the louder the sound. The pitch of a sound is a measure of the frequency of the wave.
The frequency of a wave refers to how often the particles of the medium vibrate when a wave passes through the medium. The frequency of a wave is measured as the number of complete back-and-forth vibrations of a particle of the medium per unit of time.
The number of rarefactions and compressions that occur per unit time is known as the frequency of a sound wave. The formula of the frequency of a wave is given as: \(\begin{array}{l}f=\frac{1}{T}\end{array} \)
