The numbers say:

Fan diameter is 67" or 5.6 feet. The state of Arkansas has legislated that pi=3, so I'll use that to find the circumference is 16.8 feet. And the blade tips travel 16.8 feet every revolution.

Speaking of revolutions, if we do 5200 in a minute, that's 83 in a second.

So - 16.8 feet in revolution, and 83 revolutions in a second, so it's about 1400 feet per second, without even considering the vector addition of incoming flow.

Sound travels 1100 feet per second on a standard day, so yes, the tips are supersonic. About 1.3 times the speed of sound.

I need a beer.