Force causes linear acceleration; torque causes angular acceleration. Torque is the rotational analog of force.

Mass is resistance to linear acceleration; moment of inertia is resistance to angular acceleration. Moment of inertia depends on mass distribution.

Linear momentum is mass times velocity; angular momentum is moment of inertia times angular velocity. Both are conserved in closed systems.

Angular velocity (ω) is the rate of change of angular displacement; linear velocity (v) is the rate of change of linear displacement. v = rω

Angular acceleration (α) is the rate of change of angular velocity; linear acceleration (a) is the rate of change of linear velocity. a = rα

The angle, in radians, that a point on a rigid object rotates about a specific axis.

The rate of change of angular position with respect to time. $$omega=\frac{d \theta}{d t}$$

The rate at which angular velocity changes over time. $$\alpha=\frac{d \omega}{d t}$$

The standard unit of angular measure, used in rotational kinematics calculations.

Systems that maintain their shape, but different points move in different directions during rotation.

Allows the use of simplified rotational kinematic equations.

Calculus must be used to analyze the rotational motion.

It causes angular acceleration, changing the object's rotational speed.

Angular acceleration occurs.

Its angular velocity increases linearly with time, and it rotates through an increasing angular displacement.