PhysicsSoundSound – Speed of a Sound Wave and Wave Equation

Sound – Speed of a Sound Wave and Wave Equation

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    • Speed of Sound
    • Factors affecting Speed of Sound
    • Summary
    • What’s Next?

    In the last segment, we learnt about the properties of a sound wave. In this segment, we are going to learn about the speed of sound.

    Speed of Sound

    We know that speed is defined as the distance travelled in a given amount of time. The speed of a sound wave is defined as the distance travelled by any point on a wave per unit of time. It means if we take any point on a wave, suppose the point of maximum density, then the distance travelled by this point in unit time is the speed of the wave.

    There is another way in which we can find the speed of a sound wave. We think of the speed of the sound wave in terms of one cycle of a wave. A sound wave covers one cycle when it moves from maximum compression to minimum rarefaction and then back to maximum compression, we say that one cycle is completed. This distance is nothing but the wavelength lambda [\lambda]. And the time required to complete this distance is time period T. So we can think of the speed of a sound wave as the distance travelled by a wave equal to the length of one cycle over the time required to complete that distance.

    Hence the speed (v) is: the wavelength (\lambda) over the time period (T).

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    There are some factors on which the ‘speed of sound’ depends.

    Factors affecting Speed of Sound

    1. Temperature of the Medium: speed increases when the temperature of the medium

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