cut out vs get rid of

cut out is an adjective but get rid of is not an adjective.

Word	Noun	Adjective	Verb	Adverb
cut out	No	Yes	Yes	No
get rid of	No	No	Yes	No

As verbs, get rid of is a hypernym of cut out; that is, get rid of is a word with a broader meaning than cut out:

Other hypernyms of cut out include do away with, eliminate, extinguish.

cut out (adjective)	get rid of (adjective)
having been cut out

cut out (verb)	get rid of (verb)
delete or remove	terminate, end, or take out
cease operating	dispose of
intercept (a player)	do away with
strike or cancel by or as if by rubbing or crossing out
form and create by cutting out
cut off and stop