Final answer:
To calculate the intensity of a sound wave 100 m from a 200-watt source, use the formula I = P / (4πr²), resulting in approximately 0.00159 W/m².
Step-by-step explanation:
The intensity of a sound wave at a certain distance from the source can be calculated using the equation I = P / (4πr²), where 'I' is the intensity, 'P' is the power of the sound source, and 'r' is the radius or distance from the sound source.
In this case, the power of the sound source is 200 watts, and we are interested in the intensity 100 m from the source.
To calculate:
I = 200 W / (4π * (100 m)²)
I = 200 W / (4π * 10,000 m²)
I = 200 W / (40,000π m²)
I = 0.00159 W/m² (approximately)
The intensity of the sound wave 100 m from the source is thus approximately 0.00159 W/m².