Rolling: 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), its velocity with respect to the road is
A) 2v.
B) v.
C) 1.5v.
D) zero.
E) The velocity depends on the radius of the tire.

Question

Quizplus · Accepted Answer

When a tire rolls without slipping, the velocity of any point on the tire relative to the center of the tire is equal to the velocity of the tire itself (v). When the tape is at the top of the tire, its velocity relative to the road is the sum of the tire's translational velocity (v) and the velocity of the tape relative to the center of the tire (also v), resulting in a total velocity of 2v.

Rolling: a Tire Is Rolling Along a Road, Without Slipping