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I'm trying to figure out how to calculate curl ($\nabla \times \vec{V}^{\,}$) when the velocity vector is represented in cylindrical coordinates. The way I thought I would do it is by calculating this determinant:
Grad, Div and Curl in Cylindrical and Spherical Coordinates In applications, we often use coordinates other than Cartesian coordinates. It is important to remember that expressions for the operations of vector analysis are different in different coordinates. Here we give explicit formulae for cylindrical and spherical coordinates.
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In Chapter 3, we introduced the curl, divergence, gradient, and Laplacian and derived the expressions for them in the Cartesian coordinate system. In this ap-pendix,we derive the corresponding expressions in the cylindrical and spherical coordinate systems.
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World History: Preparing for the Advanced Placement Examination, 2018 Edition Editors,2017-09 This text is designed for a one semester or one year World History course for students preparing to take the current AP World History exam Includes Summer 2017 College Board revisions to the course and exam description Teachers can assign the book as th...
