'uncoil' originates from the prefix 'un-' meaning 'reverse' and the word 'coil' meaning 'to wind in a spiral'.

'uncoil' changed from the Old English word 'uncylan' meaning 'to unroll' and eventually became the modern English word 'uncoil'.

Initially, it meant 'to unroll something', but over time it evolved into its current meaning of 'to unwind or untwist something that is coiled'.