Question

At a distance of 4.72 m from a siren, the sound intensity is 4.11 × 10-2 W/m2. Assuming that the siren radiates sound uniformly in all directions, find the total power radiated.

Answer 1

Answer: The total power radiated is 11.51 W.

Step-by-step explanation:

Since we have given that

Distance away from a siren = 4.72 m

Intensity of sound = $4.11\times 10^{-2}\ w/m^2$

As we know the relation between power, intensity and area.

So, it becomes,

$I=\dfrac{P}{A}\\\\I=\dfrac{P}{4\pi r^2}\\\\4.11\times 10^{-2}=\dfrac{P}{4\times \dfrac{22}{7}\times 4.72^2}\\\\P=4.11\times 10^{-2}\times 4\times \dfrac{22}{7}\times 4.72^2\\\\P=11.51$

Hence, the total power radiated is 11.51 W.