Question

At a rock concert, it is desired to have a sound intensity of 2.6 W/m2 for those patrons seated 25 m from the speakers. If you assume that the sound is emitted from the speakers equally in all directions, what is the power output needed from the sound system?

Answer 1

Power, P = 20.4 kW

Step-by-step explanation:

It is given that,

Intensity of sound,
`I=2.6\ W/m^2`

Distance from the speakers, r = 25 m

We need to find the power output needed from the sound system. Intensity is given by :

`I=(P)/(A)`

`P=I* 4 \pi r^2`

`P=2.6* 4\pi * (25)^2`

P = 20420.35 Watts

or

P = 20.4 kW

So, the power output needed from the sound system is 20.4 kW. Hence, this is the required solution.