turn around vs swing about

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

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

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

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

Other synonyms of turn around include swing around.

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

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