quick question for all you physics people...
On a very hot day, or stopping from a higher speed, the bald tire will heat up more, and retain its heat, and melt, hence, no traction, and will slide. The tire with tread will stay cool better, as there is airspace between rubber contacting the ground.
In general, the tire with tread will make a longer skid mark, but sometimes it goes the other way, such as above.
a bald tire will only be better on perfect, dry pavement. The tread helps will all less than perfect conditions.
Ever worn the soles of a pair of shoes down? you could stick great to glass or something like that, but if you introduce some saw dust or water, you're screwed.
so.. it depends.. the bald tire would win in perfect conditions (dry.. track) otherwise, the new tire would do better
note, i'm not trying to say you should track your car with bald tires.. that a whole other story.
tire compound is what makes the tires stick to the ground, not just because of contact area
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