Angular Acceleration - Mathematical Definition

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)

    Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.
    The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)