If the amplitude of a sound wave is increased by a factor of four,how does the energy carry by the sound wave in each time interval change?

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If the amplitude of a sound wave is increased by a factor of four,how does the energy carry by the sound wave in each time interval change?

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MichaelMet 2 weeks 2021-07-19T23:13:20+00:00 1 Answers 2 views 0

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    2021-07-19T23:14:44+00:00

    Answer:

    The energy will be increased by a factor 16

    Explanation:

    Mathematically, we have it that the energy carried by the sound wave is directly proportional to the square of the amplitude

    So we have it that;

    E = k * A^2

    where E is the wave energy

    K is the constant value

    A is the amplitude value

    So;

    If E1 = k * (A1)^2

    E2 = k * (A2)^2

    But A2 = 4A1

    E2 = k * (4A1)^2

    E2 = k * 16(A1)^2

    Divide E2 by E1

    E2/E1 = k/k * 16(A1)^2/(A1)^2

    E2/E1 = 16

    E2 = 16 * E1

    so simply, the energy will be increased by a factor of 16

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