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  • Calculating Sound Frequency: Wavelength and Speed
    Here's how to calculate the frequency of a sound wave with a wavelength of 5 meters in air:

    Understanding the Relationship

    * Speed of Sound: The speed of sound in air is approximately 343 meters per second (m/s) at room temperature.

    * Wavelength (λ): The distance between two consecutive crests (or troughs) of a wave.

    * Frequency (f): The number of wave cycles that pass a point per second.

    Formula

    The relationship between speed, wavelength, and frequency is:

    * Speed (v) = Wavelength (λ) * Frequency (f)

    Calculation

    1. Rearrange the formula to solve for frequency:

    * f = v / λ

    2. Plug in the values:

    * f = 343 m/s / 5 m

    3. Calculate:

    * f = 68.6 Hz

    Answer:

    The frequency of a sound wave with a wavelength of 5 meters in air would be approximately 68.6 Hz. This is a very low frequency, below the range of human hearing (typically 20 Hz to 20,000 Hz).

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