Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsRotational Dynamics2 Marks
Question
State the relation between the linear velocity and the angular velocity of a particle in circular motion.
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Answer
Linear velocity, $\vec{v}=\vec{\omega} \times \vec{r}$ where $\omega$ is the angular velocity and $\mathrm{r}$ is the radius vector. At every instant, $\vec{v}, \vec{\omega}$ and $\vec{r}$ are mutually perpendicular, so that in magnitude $v=\omega r$.
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