sense of balance vs sense of equilibrium

sense of balance and sense of equilibrium both are nouns.

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

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

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

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

sense of balance (noun)	sense of equilibrium (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