cartwheel vs wheel

cartwheel and wheel both are nouns.

Word	Noun	Adjective	Verb	Adverb
cartwheel	Yes	No	Yes	No
wheel	Yes	No	Yes	No

As nouns, wheel is a hypernym of cartwheel; that is, wheel is a word with a broader meaning than cartwheel:

cartwheel: a wheel that has wooden spokes and a metal rim
wheel: a simple machine consisting of a circular frame with spokes (or a solid disc) that can rotate on a shaft or axle (as in vehicles or other machines)

As verbs, wheel is a hypernym of cartwheel; that is, wheel is a word with a broader meaning than cartwheel:

cartwheel: do cartwheels: perform an acrobatic movement using both hands and feet
wheel: change directions as if revolving on a pivot

Other hypernyms of cartwheel include wheel around.

cartwheel (noun)	wheel (noun)
acrobatic revolutions with the body turned sideways and the arms and legs outstretched like the spokes of a wheel	a simple machine consisting of a circular frame with spokes (or a solid disc) that can rotate on a shaft or axle (as in vehicles or other machines)
a wheel that has wooden spokes and a metal rim	a circular helm to control the rudder of a vessel
a dollar made of silver	an instrument of torture that stretches or disjoints or mutilates victims
	game equipment consisting of a wheel with slots that is used for gambling; the wheel rotates horizontally and players bet on which slot the roulette ball will stop in
	a handwheel that is used for steering
	a wheeled vehicle that has two wheels and is moved by foot pedals
	forces that provide energy and direction

cartwheel (verb)	wheel (verb)
do cartwheels: perform an acrobatic movement using both hands and feet	change directions as if revolving on a pivot
	move along on or as if on wheels or a wheeled vehicle
	wheel somebody or something
	ride a bicycle