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20 July, 14:53

A sound system is designed to produce a 1.0W/m2 sound intensity over the surface of a hemisphere 20 m in radius. What acoustic power is needed from an array of speakers at the center of the sphere?

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  1. 20 July, 17:18
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    2513.6 W

    Explanation:

    Acoustic power = sound intensity * area of hemisphere

    Sound intensity = 1 W/m^2

    Area of hemisphere = 2πr^2 = 2*3.142*20^2 = 2513.6 m^2

    Acoustic power = 1 W/m^2 * 2513.6 m^2 = 2513.6 W
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