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?

Question

Charity Henderson

Physics

3 September, 14:03

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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Answers (1)

Know the Answer?

Joyce Kim · Answer 1

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