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Spherical Coordinate System

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Spherical Coordinate System. . . Conversion from Spherical to Cylindrical Coordinate System. Recall. Cylindrical to Cartesian. Spherical to Cylindrical. Spherical to Cartesian. Also note that since we know that we get,. Example -1.

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Spherical Coordinate System

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  1. Spherical Coordinate System Calculus-III (Section 13.7)

  2. .

  3. Conversion from Spherical to Cylindrical Coordinate System

  4. Recall

  5. Cylindrical to Cartesian Spherical to Cylindrical

  6. Spherical to Cartesian

  7. Also note that since we know that we get,

  8. Example -1 Convert the point from Cartesian to Spherical coordinates.

  9. Example -2 Convert the point from Cartesian to Spherical coordinates.

  10. The first thing that we’ll do here is find .

  11. Now we’ll need to find

  12. Finally, we will find You find it

  13. Since the points with coordinates x = -1 and y = 1 lies in the second quadrant,

  14. The spherical coordinates of the point are then           .      .

  15. Identify the surface

  16. Identify the surface This is a vertical plane that makes an angle of with the positive x-axis.

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