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  • Wave Amplitude and Speed: Formulas & Explanations
    Here's a breakdown of the formulas for wave amplitude and speed, along with explanations:

    Amplitude

    * Definition: Amplitude is the maximum displacement of a point on a wave from its equilibrium position. Think of it as the "height" of the wave.

    * Formula: There's no single formula for amplitude. It's typically measured directly from a graph or observation of the wave. Look for the greatest distance from the wave's equilibrium position to its crest (highest point) or trough (lowest point).

    Wave Speed

    * Definition: Wave speed is how quickly a wave travels through a medium.

    * Formula: The speed of a wave (v) is related to its wavelength (λ) and frequency (f) by the following formula:

    v = λf

    * v: Wave speed (usually measured in meters per second, m/s)

    * λ: Wavelength (the distance between two successive crests or troughs, measured in meters, m)

    * f: Frequency (the number of waves passing a point per second, measured in Hertz, Hz)

    Example

    Let's say you have a wave with a wavelength of 2 meters and a frequency of 10 Hz. To find the wave speed:

    * v = λf

    * v = (2 m)(10 Hz)

    * v = 20 m/s

    Important Note: The above formulas apply to *transverse waves* (like light waves or waves on a string) and *longitudinal waves* (like sound waves). However, the specific way to measure amplitude and wavelength might differ slightly between these types.

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