###
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* sin*θ* |

**
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* |