Slide 1

Cylindrical Coordinate Coordinate Systems

Slide 2

Representing 3D points in Cylindrical Coordinates. r Start from polar representations in the plane

Slide 3

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 4

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 5

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 6

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 7

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 8

Representing 3D points in Cylindrical Coordinates. r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r, ).

Slide 9

r Representing 3D points in Cylindrical Coordinates. r (r,,z)(r,,z)

Slide 10

Converting between rectangular and Cylindrical Coordinates r r (r, ,z) Rectangular to Cylindrical Cylindrical to rectangular No real surprises here!