(covers information from several alternate timelines)
A tire was typically a rubber device, shaped like a ring, and used for covering the rims of the wheels of a land vehicle. A tire iron was used for the removal of such a device (although it was also used as a weapon at times). (Star Trek IV: The Voyage Home)
Such devices were common on multiple worlds throughout the vast reaches of space, known to many humanoid cultures throughout the Milky Way Galaxy. (TOS: "Miri", "Bread and Circuses", "A Piece of the Action", "Patterns of Force")
In the alternate reality created by the temporal incursion from Nero, in the year 2259, Doctor Leonard McCoy compared the USS Enterprise to a getaway car, and its' warp core to a "flat tire," implying to the captain that his plan to infiltrate Qo'noS was a bad idea. (Star Trek Into Darkness)
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