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wave motion is due to the spreading of the wave from where it begins. for a water wave, the water itself stays in the sameaverage place

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a restoring force is any force that always acts to pull a system back toward equilibrium.    Restoring forces is related to the gravity or weight and the lift force of the string of a pendulum

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An oscillator is a physical system that has repeating cycles . System that oscillate move back and fourtharound a center or equilibrium p;osition.

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The velocity of the wave is the measurement of how fast a crest is moving from a fixed point.

Velocity equals wavelength times frequency:

v = λ*f

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electromagetic waves
Mechanical waves

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The height of the wave is called its amplitude. Some areas consider the middle of the wave to its peak as the amplitude, while others consider peak-to-peak as the amplitude. Amplitude relates to loudness in sound and brightness in light.

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Wavelength

Wavelength is defined as the distance from one crest  to the next crest or maximum.

The wavelength of an ocean wave is typically several meters. The wavelength of the electromagnetic wave used in a microwave oven is in the order of a centimeter.

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a wave is a traveling disturbance that travels through space and matter transferring energy from one place to another.
wave is a disturbance or variation which travels through a medium. The medium through which the wave travels may experience some local oscillations as the wave passes, but the particles in the medium do not travel with the wave. The disturbance may take any of a number of shapes, from a finite width pulse to an infinitely long sine wave.