Comparison between linear and rotational quantities

 

Table 1: Table of Analogues Between Linear and Rotational Motion

Linear Motion	Circular Motion
Velocity: $\vec{v}$	Angular Velocity: $\vec{\omega}$
Inertial Mass: m	Moment of Inertia: I
Kinetic Energy: ${1\over 2} m v^2$	Kinetic Energy: ${1\over2}I\omega^2$
Force: $\vec{F}$	Torque: $\vec{\tau}=\vec{r}\times\vec{F}$
Linear Momentum: $\vec{p}=m\vec{v}$	Angular Momentum: $\vec{L} = I\vec{\omega}= \vec{r}\times\vec{p}$
Second Law: $\vec{F}= m \vec{a}= {d\vec{p}\over dt}$	Second Law: $\vec{\tau} = I \vec{\alpha} = {d\vec{L}\over dt}$