It isn't just radio stations and airports. I've seen plenty of people move out into the country and build right next to a large hog or dairy farm. The first summer they find out they can't use their backyard or open their windows so they sue their neighbor! It got so bad that here in Michigan they passed a law know as right to farm act to protect the farmers.

However when they wrote the law it never occurred to them that people would be farming in existing urban areas so they exempted them. That has caused problems in Detroit where people wanted to create commercial farms with all that available land (as well as city water for irrigation) but were denied the same protection.