CBSE · Class 11 · Physics · System of Particles and Rotational MotionThe vector relation between linear velocity ($\vec{v}$), angular velocity ($\vec{\omega}$), and position vector ($\vec{r}$) for a rotating particle is:
Step-by-Step Solution
The linear velocity is given by the cross product of angular velocity and position vector: $\vec{v} = \vec{\omega} \times \vec{r}$. The order of vector cross product is crucial.
Detailed Options Breakdown
Option : $\vec{v} = \vec{\omega} \times \vec{r}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $\vec{v} = \vec{r} \times \vec{\omega}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 2: $\vec{v} = \vec{\omega} \cdot \vec{r}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 3: $\vec{\omega} = \vec{v} \times \vec{r}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
💡 Study Guide: This question tests core syllabus concepts from System of Particles and Rotational Motion. For formulas, key summaries, and mock exam reference guides, read the full System of Particles and Rotational Motion Revision Notes.