Question

The correct vector relation between linear velocity $ \vec{v} $ and angular velocity $ \vec{\omega } $ in rigid body dynamics is ( where $ \vec{r} $ is the position vector)

• A. $ \vec{\omega }=\vec{v}\times \vec{r} $
• B. $ \vec{v}=\vec{r}/\vec{\omega } $
• C. $ \vec{v}=\vec{\omega }\times \vec{r} $
• D. $ \vec{r}=\vec{v}\times \vec{\omega } $

Answer 1

Answer: (C)

The vector relation between linear velocity $ \vec{v} $ and angular velocity $ \vec{\omega } $ in rigid body dynamics is
$ \vec{v}=\vec{\omega }\times \vec{r} $ .