Compression affects the propagation of a longitudinal wave by increasing the density of the medium, which in turn increases the speed of the wave. This results in the wave traveling faster through the compressed region compared to a less dense region.
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That would be a longitudinal wave. In a longitudinal wave, the particles of the medium move parallel to the direction of the wave propagation, causing compression and rarefaction as the wave travels through the medium.
A transverse wave is one where the oscillations are perpendicular to the direction of wave propagation, like a wave on a string. A compression wave, or longitudinal wave, is where the oscillations are parallel to the direction of wave propagation, like sound waves in air.
In a longitudinal wave, the particles of the medium oscillate back and forth in the same direction as the wave propagation. When the particles are close together, the wave is in compression, where the particles are closest together.
In a longitudinal wave, one wavelength is the distance from one compression (or rarefaction) to the next compression (or rarefaction). This distance represents one complete cycle of the wave, where the particles oscillate back and forth parallel to the direction of the wave's propagation.
In a transverse wave, particles of the medium oscillate perpendicular to the direction of wave propagation, like the up-and-down motion of a water wave. In a longitudinal wave, particles oscillate parallel to the direction of wave propagation, like the compression and rarefaction in a sound wave.