Circular Cylindrical The variables of the rectangular and cylindrical coordinate systems are easily related to each other. x = p cos Ø y = p sin Ø z = z (p20) From the other viewpoint, we may express the cylindrical variables in terms of x, y, and z: p = Vx? + y2 O = tan-12 z = z Table 1.1 Dot products of unit vectors in cylindrical and rectangular coordinate systems ap as az cos o sin o ar - sino ay cos o az Spherical Cooro The transformation of scalars from the rectangular t spherical coordinate system is easily made by using Figur to relate the two sets of variables: x = r sin e cos Ø y =r sin 0 sin Ø z =r cos e From the other viewpoint, we may express the cylin variables in terms of x, y, and z: r= Vx2 + y2 + z2 e = cos-1 (r 2 0) (0° S0S 180°) x² + y² + Ø = tan %3D

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