A small omnidirectional stereo speaker produces waves in all directions that have an intensity of 6.5 w/m^2 at a distance of 2.5 m from the speaker. At what rate does this speaker produce energy?

the rate at which the speaker produces energy is 510.51 J/s

Explanation:

Given;

sound intensity of the speaker, I = 6.5 W/m²

distance, r = 2.5 m

The rate at which the speaker produces energy on a spherical surface is given as;

P = IA

P = I(4πr²)

P = 6.5 (W/m²) x 4π x (2.5 m)²

P = 510.51 J/s

Therefore, the rate at which the speaker produces energy is 510.51 J/s