How much an object has rotated, measured in radians.

The rate of change of angular displacement, measured in rad/s.

The rate of change of angular velocity, measured in rad/s².

A twisting force that causes rotation; the rotational equivalent of force, measured in N·m or J.

Resistance to rotational motion, measured in kg·m².

Energy of rotation, measured in Joules (J).

Measure of rotational motion, measured in kg·m²/s.

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

Angular momentum is the rotational equivalent of linear momentum. Both are conserved in closed systems.

Both describe motion; linear uses displacement, velocity, and acceleration, while rotational uses angular displacement, angular velocity, and angular acceleration.

$Delta heta = s/r$, where s is the arc length and r is the radius.

$omega = v/r$, where v is the linear velocity and r is the radius.

$alpha = a/r$, where a is the linear acceleration and r is the radius.

$au = rFsin heta$, where r is the lever arm, F is the force, and $heta$ is the angle between them.

$I = cMR^2$, where M is mass, R is radius, and c is a shape-dependent constant.