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Unformatted text preview: Chapter 7 7.3 Relationships between angular and linear quantities Angular variables are closely related to linear variables. Active figure 7.5, the direction of Ps velocity vector v is tangent to the circular path. v=r : The tangential speed of a point on a rotating object equals the distance of that point from the axis of rotation multiplied by the angular speed (radian measure must be used). Every point on the rotating object hast the same angular speed. a=r : The tangential acceleration of a point on a rotating object equals the distance of that point from the axis of rotation multiplied by the angular acceleration (radian measure must be used). 7.4 Centripetal acceleration If an object have vectors that are at the same magnitude, corresponding to the same speed, and have different directions, then their difference can not equal zero. For circular motion at constant speed, the acceleration vector always points toward the center of the circle (centripetal acceleration): a=v^2/r Angular vectors and quantities are vectors...
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This note was uploaded on 03/18/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.
- Spring '08