Question

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

Answer 1

Answer:

The right solution will be the "2v".

Explanation:

For something like an object underneath pure rolling the speed at any point is calculated by:

⇒  $v_{rolling}=v_{translational}+v_{rotational}$

Although the angular velocity was indeed closely linked to either the transnational velocity throughout particular instance of pure rolling as:

⇒  $\omega=\frac{v_{translational}}{r}$

Significant meaning is obtained, as speeds are in the same direction. Therefore the speed of rotation becomes supplied by:

⇒  $v_{rotational}=\omega \times r$

On substituting the estimated values, we get

⇒                   $=\frac{v_{translational}}{r} \times r$

⇒                   $=v_{translational}$

So that the velocity will be:

⇒  $v_{rolling}=v+v$

⇒              $=2v$