On many occasions we need to transform a velocity from Cartesian (x, y, z) coordinates

Chapter 9, Problem 9-13

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On many occasions we need to transform a velocity from Cartesian (x, y, z) coordinates to cylindrical (r, u, z) coordinates (or vice versa). Using Fig. P913 as a guide, transform cylindrical velocity components (ur, uu, uz) into Carte sian velocity components (u, v, w). (Hint: Since the z-component of velocity remains the same in such a transformation, we need only to consider the xy-plane, as in Fig. P913.)

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