Question

I know the answer is (A.) 2v, but I do not understand why this is the case.

A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is 5)attached to the tire. When the tape is opposite the road (at the top of the tire), its velocity with respect to the road is:

A) 2v.

B) v.

C) zero.

D) 1.5v.

E) The velocity depends on the radius of the tire.

Answer 1

A tire is rolling along a road, without slipping, with a velocity v. A piece of tape is 5)attached to the tire. When the tape is opposite the road (at the top of the tire), its velocity with respect to the road is:

I know the answer is (A.) 2v, but I do not understand why this is the case.

A) 2v.

The velocity of a point on the tire is equal to the velocity of the CM of the tire, plus the velocity of that relative to the CM, which forces point on the top is also V, in the same direction as the tire velocity.