ROTATIONAL MOTION

Rotational Motion

Refers to the motion of an object that spins around an axis.

Angular Displacement

The angle through which an object rotates about a fixed axis.

Angular Velocity

The rate of change of angular displacement, usually measured in radians per second (rad/s).

Angular Acceleration

The rate of change of angular velocity, measured in radians per second squared (rad/s²).

Torque

The rotational equivalent of linear force, calculated as τ = r × F.

Moment of Inertia (I)

The measure of an object's resistance to changes in its rotational motion.

Conservation of Angular Momentum

The angular momentum of a closed system remains constant if no external torque acts on it.

Angular Displacement Equation

θ = θ₀ + ω₀t + 1/2αt².

Angular Velocity Equation

ω = ω₀ + αt.

Angular Momentum Equation

L = Iω.