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

Respuesta :

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:

⇒  [tex]v_{rolling}=v_{translational}+v_{rotational}[/tex]

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

⇒  [tex]\omega=\frac{v_{translational}}{r}[/tex]

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

⇒  [tex]v_{rotational}=\omega \times r[/tex]

On substituting the estimated values, we get

⇒                   [tex]=\frac{v_{translational}}{r} \times r[/tex]

⇒                   [tex]=v_{translational}[/tex]

So that the velocity will be:

⇒  [tex]v_{rolling}=v+v[/tex]

⇒              [tex]=2v[/tex]