The word 'uncoil' is a transparent English formation from the prefix 'un-' and the verb 'coil'. The prefix 'un-', with its ancient Germanic roots, is one of the most productive in English for denoting reversal. The verb 'coil' traces back to the Latin colligere ("to collect, bind together"), which evolved through French into the specific sense of winding into concentric rings. Therefore, 'uncoil' logically and literally means to reverse the action of winding, to unwind or straighten out from a spiral state. This construction perfectly illustrates how English builds precise verbs by combining a native Germanic prefix with a Latinate root.

Structure: un (reversal) + coil (wind into rings) un: A prefix of Germanic origin (Old English un-, on-), used to indicate reversal, deprivation, or the opposite of an action. coil: A verb of Latin origin (from Latin colligere meaning "to gather together"), via Old French coillir, entering English in the 16th century with the sense of winding or gathering into loops.