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13 July, 06:34

The sound produced by the speakers at a rock concert has a power of 0.181 W. What sound intensity do you hear when you are standing 20.5 m away?

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  1. 13 July, 06:37
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    The sound intensity heard standing 20.5 m away = 0.0000343 W/m² = 3.43 * 10⁻⁵ W/m²

    Explanation:

    Intensity of sound at some distance r away is calculated as (power of the sound/surface area of wall of imaginary sphere at distance r)

    Power of the sound = 0.181 W

    Surface area of wall of imaginary sphere = 4πr² = 4π (20.5²) = 5281.02 m²

    Intensity = 0.181/5281.02 = 0.0000343 W/m² = 3.43 * 10⁻⁵ W/m²
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