"turns about" is correct and usable in written English.
It is often used to describe someone or something changing direction. For example, "The wind turned about and blew in the opposite direction."
Her submission to the more experienced J turns about, and soon she is inflicting the kind of dominatrix treatment on him that makes clear that his outlook on sex isn't particularly healthy either.
The Delaware crossing thus becomes a sudden reversal of fortune, as if an American mouse, chased hither and yon by a British cat, brazenly turns about and declares itself a lion.
A Gold River, California-based company called Clean World designed and built a biodigester for the city of Sacramento that turns about 100 tons of food waste per day into natural gas, electricity and fertilizer.
From there he turns about, travelling forward in time to become a flight instructor who half-wittingly trained a suicide pilot and then, in by far the best episode in the book, his own lost alcoholic father in the gutters of Tacoma, Washington.
Hence, the asymptotic distribution turns about to be extremely simple, which facilitates easy asymptotic inference.
His turns about and directed towards the cat, along with the comment "be honest" and the assessment "crazy", may represent some attempt to "disguise" a pedagogic sequence as informal chat.
"The car turned about three times, and stopped facing east.
Well, that time came and went, but the message set the wheels turning about possible replacements for Bradley.
But the force that had been with her since Melbourne suddenly and dramatically turned about face.
Those doors get heavier and heavier, harder to turn, about now.
"She can't move in her sleep so she needs turning about five times a night.
