The sound intensity at a distance of 16 m from a noisy generator is measured to be 0.25 W/m2. What is the sound intensity at a distance of 2

Question

The sound intensity at a distance of 16 m from a noisy generator is measured to be 0.25 W/m2. What is the sound intensity at a distance of 28 m from the generator?

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Thu Thủy 6 months 2021-09-02T09:00:21+00:00 1 Answers 0 views 0

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    2021-09-02T09:01:32+00:00

    Answer:

    0.1111 W/m²

    Explanation:

    If all other parameters are constant, sound intensity is inversely proportional to the square of the distance of the sound. That is,

    I ∝ (1/r²)

    I = k/r²

    Since k can be the constant of proportionality. k = Ir²

    We can write this relation as

    I₁ × r₁² = I₂ × r₂²

    I₁ = 0.25 W/m²

    r₁ = 16 m

    I₂ = ?

    r₂ = 24 m

    0.25 × 16² = I₂ × 24²

    I₂ = (0.25 × 16²)/24²

    I₂ = 0.1111 W/m²

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