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)

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

Answer 2

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