Mathematical Definition
The angular acceleration can be defined as either:
- , or
- ,
where is the angular velocity, is the linear tangential acceleration, and r(usually defined as the radius of the circular path of which a point moving along) is the distance from the origin of the coordinate system that defines and to the point of interest.
Read more about this topic: Angular Acceleration
Famous quotes containing the words mathematical and/or definition:
“An accurate charting of the American woman’s progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of time—but like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.”
—Susan Faludi (20th century)
“The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.”
—William James (1842–1910)