Great discussion going on over here....All have made such great points...now the hard part is translating it those students who have downstroke "blackout"
Pace in my mind is the direct relationship of the Hand Speed and the Surface Speed..I could be wrong and would stand to be corrected
Arc Velocity is surface speed
Arc Accleration is the result of the radius changing from smaller to larger
Angular Velocity is the rate of rotation of all components and their respective centers...in this case the radius in relation to clubhead travel controlled by #3 , Hand travel and turning rate of the pivot components
Angular Acceleration is the change in hand speed .....via the pivot or accumulators #4 and #1
Rhythm is the RPM roll of #3 and the turning rate of the pivot to maintain the same Angular velcocities or the rate of closure of the clubface, travel of the orbitng clubhead, to the selcted plane angle
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.
Angular velocity
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Angular velocity describes the speed of rotation and the orientation of the instantaneous axis about which the rotation occurs. The direction of the angular velocity vector will be along the axis of rotation; in this case (counter-clockwise rotation) the vector points toward the viewer.In physics, the angular velocity is a vector quantity (more precisely, a pseudovector) which specifies the angular speed at which an object is rotating along with the direction in which it is rotating. The SI unit of angular velocity is radians per second, although it may be measured in other units such as degrees per second, degrees per hour, etc. When measured in cycles or rotations per unit time (e.g. revolutions per minute), it is often called the rotational velocity and its magnitude the rotational speed. Angular velocity is usually represented by the symbol omega (Ω or ω). The direction of the angular velocity vector is perpendicular to the plane of rotation, in a direction which is usually specified by the right hand rule
Angular velocity describes the speed of rotation and the orientation of the instantaneous axis about which the rotation occurs. The direction of the angular velocity vector will be along the axis of rotation; in this case (counter-clockwise rotation) the vector points toward the viewer.