An Etymological Dictionary of the German Language/Annotated/wälzen

by Friedrich Kluge

wälzen, verb, ‘to roll, trundle,’ from Middle High German węlzen, Old High German węlzen, walzen (from *walzjan), weak verb, ‘to roll, turn, trundle’; factitive of walzen, which was originally only intransit. The Teutonic root walt, from Aryan wald, has no cognates in non-Teutonic.