sense of equilibrium vs sense of balance

sense of equilibrium and sense of balance both are nouns.

Word	Noun	Adjective	Verb	Adverb
sense of equilibrium	Yes	No	No	No
sense of balance	Yes	No	No	No

As nouns, sense of equilibrium and sense of balance are synonyms defined as:

sense of equilibrium and sense of balance: a sensory system located in structures of the inner ear that registers the orientation of the head

Other synonyms of sense of equilibrium include equilibrium, labyrinthine sense, vestibular sense.

sense of equilibrium (noun)	sense of balance (noun)
a sensory system located in structures of the inner ear that registers the orientation of the head	a sensory system located in structures of the inner ear that registers the orientation of the head