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Torque
The rotational analogue to force.
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Moment of Inertia
The property of an object that dictates its angular acceleration.
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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.
Terms
Formulae
| Definition of torque | τ = Fr sinθ |
| Vector definition of torque | τ = r×F |
| Relation between τ and α | τ = mr2α |
| 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 =  Iσ2 |
| Definition of power in angular motion | P = τσ |
| Relation between linear and angular velocity when an object is rolling without slipping | vcm = σr |
| Kinetic energy when an object rolls without slipping, in terms of v | K = mv2 + I |
| Kinetic energy when an object rolls without slipping, in terms of σ | K = mσ2r2 + Iσ2 |
| Formula for the moment of inertia of a rigid body | I = r2dm |
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