Physics for scientists and engineers A tire is rolling along a road, without sli

Question

Physics for scientists and engineers
A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is attached to the tire. When the tape is opposite the road(at the top of the tire), it's velocit with respect to the road is what?
Answer is 2v, why is this? Physics for scientists and engineers
A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is attached to the tire. When the tape is opposite the road(at the top of the tire), it's velocit with respect to the road is what?
Answer is 2v, why is this? Physics for scientists and engineers

Answer is 2v, why is this?

Explanation / Answer

The velocity of a point on the tire is equal to the velocity of the CM of the tire, v, plus the velocity of that point relative to the CM, which for a point on the top is also v, in the same direction as the tire velocity. Hence the Answer: 2v

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