'often-rotated' is a Modern English compound combining 'often' and the past participle 'rotated'. 'often' originates from Old English 'oft' (frequently), later becoming 'often' in Middle English; 'rotated' derives from Latin 'rotare' (to turn) via Medieval/Modern Latin and the verb 'rotate'.

'often' developed from Old English 'oft' → Middle English 'ofte' → Modern English 'often'; 'rotate' came from Latin 'rotare' and its past participle form influenced English 'rotate' → 'rotated'. The compound form 'often-rotated' is a direct Modern English formation using an adverb + past participle to make an adjectival phrase.

The original elements meant 'frequently' (often) and 'to turn' (rotare); combined, the compound has retained the straightforward sense 'frequently turned' with little semantic shift.