The phrase "hand-turned wheels" can have several synonyms depending on the context in which it is used. One synonym could be "hand-cranked wheels," which refers to wheels turned by using a hand crank to rotate them. Another possible synonym is "manually operated wheels," since they are powered by hand rather than by a motor or other automated system. "Hand-powered wheels" is another option, emphasizing the fact that the wheels are operated by human effort. Lastly, "hand-spun wheels" could be used to describe these types of wheels when used for spinning fibers into yarn, emphasizing the skill and craftsmanship involved in hand-spinning.