rotate has 6 distinct synonyms spread across 3 of its 6 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
Synonyms, antonyms and the broader and narrower relations for rotate come from Princeton University’s WordNet. Full sources and licences.
exchange on a regular basis
“We rotate the lead soprano every night”
perform a job or duty on a rotating basis
“Interns have to rotate for a few months”
plant or grow in a fixed cyclic order of succession
“We rotate the crops so as to maximize the use of the soil”