Basic Definitions (conceptual)

Question

Which pair correctly matches rotational and linear quantities?

RankGuru · Accepted Answer

1. **Definition**: Rotational motion can be described using variables that are analogues of linear motion parameters.
2. **Mapping Table**:
   - Linear Displacement ($s$ or $x$) $\leftrightarrow$ **Angular Displacement ($θ$)**
   - Linear Velocity ($v$) $\leftrightarrow$ Angular Velocity ($\omega$)
   - Linear Acceleration ($a$) $\leftrightarrow$ Angular Acceleration ($\alpha$)
   - Mass ($m$ or Inertia) $\leftrightarrow$ Moment of Inertia ($I$)
   - Force ($F$) $\leftrightarrow$ Torque ($	au$)
   - Linear Momentum ($p$) $\leftrightarrow$ Angular Momentum ($L$)
3. **Analysis**: Option 2 is the only correct functional match. Torque corresponds to Force, not momentum. Angular velocity corresponds to velocity, not acceleration.

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Basic Definitions (conceptual)

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