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  • Calculate Wave Speed: Formulas & Frequency-Wavelength Relationship
    To calculate the wave speed without the wavelength, you need to use the following formula:

    $$v = f \lambda$$

    where:

    * v is the wave speed in meters per second (m/s)

    * f is the frequency of the wave in hertz (Hz)

    * λ is the wavelength of the wave in meters (m)

    If you know the frequency of the wave but not the wavelength, you can rearrange the formula to solve for the wavelength:

    $$\lambda = \frac{v}{f}$$

    Once you know the wavelength, you can use the formula above to calculate the wave speed.

    For example, if a wave has a frequency of 100 Hz and a wavelength of 2 meters, then its wave speed is:

    $$v = f \lambda = (100 \text{ Hz})(2 \text{ m}) = 200 \text{ m/s}$$

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