[12 piece bucket]

Arc Velocity
Arc Acceleration
Angular Acceleration
Angular Velocity

were used..it might help us differentiate...BUT

Bucket how bout posting the definitions of these terms with your infamous "Google Search"?


I'm going to go work on my Pace and my Rhytm today...Such simple "swing thoughts"

This came from Wiki Wiki Wiki Pedia . . .

Angular acceleration
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Angular acceleration is the rate of change of angular velocity over time. In SI units, it is measured in radians per second squared (rad/s2), and is usually denoted by the Greek letter alpha ().

Contents [hide]
1 Mathematical definition
2 Equations of motion
2.1 Constant acceleration
2.2 Non-constant acceleration
3 See also



[edit] Mathematical definition
The angular acceleration can be defined as either:

, or

,
where ω is the angular velocity, is the linear tangential acceleration, and r is the radius of curvature.


[edit] Equations of motion

[edit] Constant acceleration
For all constant values of the torque, τ, of an object, the angular acceleration will also be constant. Under these circumstances a rotating body conforms to the rotational equations of motion, in particular:


,
where

τ is torque
I is moment of inertia.
For this special case of constant acceleration, the above equation will produce a definitive, singular value for the angular acceleration.


[edit] Non-constant acceleration
For any non-constant torque, the angular acceleration of an object will change with time. The equation:

τ = α * I,

which is the angular equivalent to Newtons second law, and can be rewritten in the form seen above as:

.
This equation will produce a differential equation instead of a singular value. This differential equation is known as the equation of motion of the system and can completely describe the motion of the object.