Terms
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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 = 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 |
