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Angular Velocity

  • Reza N. Jazar

Abstract

Consider a rotating rigid body B(Oxyz) with a fixed point O in a reference frame G(OXYZ) as shown in Figure 7.1. The motion of the body can be described by a time varying rotation transformation matrix between the global and body frames to map the instantaneous coordinates of any fixed point in body frame B into their coordinates in the global frame G
$$ {}^Gr(t) = {}^GR_B (t){}^Br. $$
(7.1)
Figure 7.1.

A rotating rigid body B(Oxyz) with a fixed point O in a global frame G(OXYZ).

Keywords

Angular Velocity Rigid Body Transformation Matrix Coordinate Frame Differential Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Reza N. Jazar
    • 1
  1. 1.Department of Mechanical EngineeringManhattan CollegeRiverdale

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