Firefighters used a hydraulic cutting device to remove the roof of the car after it came off the road near the junction at Blyth Road at around 1.30am yesterday.
A spokeswoman for Lothian and Borders Fire and Rescue said: "One female was trapped after the back wheel of the car she was driving sheared off.
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Hide Ad"We removed the roof of her car to allow us to free her and she was taken to Edinburgh Royal Infirmary to be treated for possible back injuries."