Velocity and angular acceleration

[Zeno's Paradox]

Is this true?

$$\vec \omega \times r = \vec v$$

 

[neutrino]

That's actually meaningless.

This is true:$$\vec {\omega} \times \vec{r} = \vec {v}$$

(with respect to fixed origin)


Assuming omega is the angular velocity, r position vector, and v, the tangential velocity.

 

[kyle8921]

Yes, this is true. This equation represents the relationship between angular acceleration and linear velocity in a rotational motion. The cross product of the angular velocity vector and the distance vector from the axis of rotation gives the linear velocity vector. This equation is commonly used in the study of rotational motion and can be derived from the definition of angular velocity and the relationship between linear and angular speed.