wind up vs finish up

wind up and finish up both are verbs.

Word	Noun	Adjective	Verb	Adverb
wind up	No	No	Yes	No
finish up	No	No	Yes	No

As verbs, wind up and finish up are synonyms defined as:

Other synonyms of wind up include end up, fetch up, finish, land up.

wind up (verb)	finish up (verb)
finally be or do something	finish a task completely
coil the spring of (some mechanical device) by turning a stem	finally be or do something
to evoke sexual feelings
give a preliminary swing to the arm pitching