Physics equations/Equations/Rotational and linear motion analogy

The following table refers to rotation of a rigid body about a fixed axis: is arclength, is the distance from the axis to any point, and is the tangential acceleration, which is the component of the acceleration that is parallel to the motion. In contrast, the centripetal acceleration, , is perpendicular to the motion. The component of the force parallel to the motion, or equivalently, perpendicular, to the line connecting the point of application to the axis is . The sum is over particles or points of application.

Analogy between Linear Motion and Rotational motion[1]
Linear motion Rotational motion Defining equation
Displacement = Angular displacement =
Velocity = Angular velocity =
Acceleration = Angular acceleration =
Mass = Moment of Inertia =
Force = Torque =
Momentum= Angular momentum=
Kinetic energy = Kinetic energy =
  1. "Linear Motion vs Rotational motion" (PDF).