The repetitive motion of a wave will be periodic.
When the action gets repeated, repetitive motion injuries arise. Bending, twisting, gripping, as well as reaching are some examples.
A periodic expression is one whose values repeat at regular intervals.
A pulse is just a single disturbance, while a wave would be a continuous and repeated interruption of a medium.
The wave can be described as the disturbance water's surface that moves up and down. As even the wave crests, it forces a seagull to fly vertically and horizontally in a simple harmonic motion.
Therefore, the repetitive motion of a wave will be periodic.
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