Final answer:
The power given off by the sound wave from the gasoline-powered air compressor is 1.87 x 10⁷ watts.
Step-by-step explanation:
To calculate the power given off by a sound wave, we need to use the formula: Power = Intensity x Area. Given that the intensity of the sound is 4.6 x 10³ W/m² and the distance is 18m, we can calculate the area using the formula Area = 4πr², where r is the distance from the sound source.
Therefore, the area is 4π(18)² = 4071.5 m². Now we can calculate the power: Power = 4.6 x 10³ W/m² x 4071.5 m² = 1.87 x 10⁷ W. So, the power given off by the sound wave from the gasoline-powered air compressor is 1.87 x 10⁷ watts. So the power output of the sound from the air compressor is approximately 18,729 watts.