Hinds and Murphy were found guilty of ill-treating 12 different outpatients between them at the the Solar Centre, which is run by Rotherham, Doncaster and South Humber NHS Foundation Trust (RDaSH).
All are extremely vulnerable adults, with limited communication abilities and a range of physical disabilities including blindness.
Many of the attacks involved patients being slapped and hit around the head.
Hinds threw one man into a wheelchair, dragged another to the toilet and hit another with a microphone.
Murphy locked one woman in a cupboard, the court heard.
All the incidents happened in a period between January 2005 and March 2007.