Terms
Torque

The rotational analogue to force.
Moment of Inertia

The property of an object that dictates its angular
acceleration.
Rolling Without Slipping

The special case of combined rotational and translational motion in which the
part of the object in contact with the ground has zero velocity.
Formulae
Definition of torque

τ = Fr sinθ

Vector definition of torque

τ = r×F

Relation between
τ
and
α

τ = mr
^{2}
α

Rotational Analogue to Newton's Second Law

τ = Iα

Definition of work in angular motion

W = τμ

Integral definition of work in angular motion

W =
τdμ

Definition of kinetic energy in angular motion

K =
Iσ
^{2}

Definition of power in angular motion

P = τσ

Relation between linear and angular
velocity when an object
is rolling
without slipping

v
_{cm} = σr

Kinetic energy when an object rolls without slipping, in terms of v

K =
mv
^{2} +
I

Kinetic energy when an object rolls without slipping, in terms of
σ

K =
mσ
^{2}
r
^{2} +
Iσ
^{2}

Formula for the moment of inertia of a rigid body

I =
r
^{2}
dm
