'uncoil' originates from the prefix 'un-' meaning 'reverse' and the word 'coil' from Middle English 'coilen', which meant 'to gather in a ring or spiral'.

'coil' changed from the Middle English word 'coilen' and eventually became the modern English word 'coil'.

Initially, 'coil' meant 'to gather in a ring or spiral', but over time it evolved to include the action of winding or twisting.