swing about vs turn around

swing about is not a noun while turn around is a noun.

Word	Noun	Adjective	Verb	Adverb
swing about	No	No	Yes	No
turn around	Yes	No	Yes	No

As verbs, swing about and turn around are synonyms defined as:

swing about and turn around: turn abruptly and face the other way, either physically or metaphorically

Other synonyms of swing about include swing around.

swing about (noun)	turn around (noun)
	turning in an opposite direction or position

swing about (verb)	turn around (verb)
turn abruptly and face the other way, either physically or metaphorically	improve significantly; go from bad to good
	improve dramatically
	turn abruptly and face the other way, either physically or metaphorically