eat vs damage

eat is not a noun while damage is a noun.

Word	Noun	Adjective	Verb	Adverb
eat	No	No	Yes	No
damage	Yes	No	Yes	No

As verbs, damage is a hypernym of eat; that is, damage is a word with a broader meaning than eat:

eat (noun)	damage (noun)
	the act of damaging something or someone
	any harm or injury resulting from a violation of a legal right
	the occurrence of a change for the worse
	loss of military equipment
	the amount of money needed to purchase something

eat (verb)	damage (verb)
cause to deteriorate due to the action of water, air, or an acid	inflict damage upon
take in solid food	suffer or be susceptible to damage
eat a meal; take a meal
take in food; used of animals only
use up (resources or materials)
worry or cause anxiety in a persistent way