rotation vs twirl

rotation and twirl both are nouns.

Word	Noun	Adjective	Verb	Adverb
rotation	Yes	No	No	No
twirl	Yes	No	Yes	No

As nouns, twirl is a hyponym of rotation; that is, twirl is a word with a more specific, narrower meaning than rotation:

rotation (noun)	twirl (noun)
the act of rotating as if on an axis	the act of rotating rapidly
a planned recurrent sequence (of crops or personnel etc.)	a sharp bend in a line produced when a line having a loop is pulled tight
a single complete turn (axial or orbital)
(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin

rotation (verb)	twirl (verb)
	turn in a twisting or spinning motion
	cause to spin