As a sound wave propagates in a medium, the particles of the medium vibrate, producing changes in density and volume along the direction of the wave's motion. This particle motion is the opposite of the case for transverse wave motion, which is perpendicular to the direction of wave motion.
Displacements that occur in the form of sound waves require longitudinal displacement of each molecule from the equilibrium position. This leads to the formation of high and low pressure zones in the form of compression and expansion. If the sound wave source vibrates sinusoidally, as in the diaphragm of a microphone, the pressure changes will be desineural. You will find that the mathematical definition of harmonic sound waves is identical to the harmonic wave in a wire.
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