How Loud is a Rock Band in Terms of Power Output?

AI Thread Summary
A rock band produces an average sound intensity of 110 dB at a distance of 15 meters from the speakers. The sound is assumed to radiate equally over a hemisphere, leading to a calculated area of approximately 1413 m². Using the intensity formula, the power output can be derived, but the calculations yield results that do not match the provided multiple-choice answers. The discussion highlights the challenges in accurately determining the total power output based on intensity levels. Ultimately, the problem remains unresolved, indicating potential miscalculations or misunderstandings in the application of the relevant equations.
CherryXBOMB
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Total Power output Sound!

All right, nevermind, problem resumed.

. A rock band has an average intensity level of 110 dB at a distance of 15 m from the speakers. Assuming the sound is radiated equally over a hemisphere in front of the band, what is the total power output?

Relevant Equations
Intensity=Power/area
A=4pir^2

Attempt at solution
A=4pi(15)^2
A=2827m^2
2827/2 (hemisphere)

110=p/1413
110x1413=
an answer that is not one of the multiple choice solutions...
 
Last edited:
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CherryXBOMB said:
All right, nevermind, problem resumed.

. A rock band has an average intensity level of 110 dB at a distance of 15 m from the speakers. Assuming the sound is radiated equally over a hemisphere in front of the band, what is the total power output?

Relevant Equations
Intensity=Power/area
A=4pir^2

Attempt at solution
A=4pi(15)^2
A=2827m^2
2827/2 (hemisphere)

110=p/1413
110x1413=
an answer that is not one of the multiple choice solutions...

Problem resumed, or problem solved?
 

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