The transformation relating Cartesian and cylindrical coordinate is p = (x² + y²)¿ 0 = tan¬ x = p cos 0, y = p sin 0, z = z, Show that the gradient operator in cylindrical coordinates is given by z = Z 1 V= pa, + ÷@aq + 20z

icon
Related questions
Question
The transformation relating Cartesian and cylindrical coordinate is
p = (x² + y²)2
0 = tan-12
x = p cos 0,
y = p sin 0 ,
z = z,
Show that the gradient operator in cylindrical coordinates is given by
z = z
1.
V= pa, +÷ôaq + 2əz
Transcribed Image Text:The transformation relating Cartesian and cylindrical coordinate is p = (x² + y²)2 0 = tan-12 x = p cos 0, y = p sin 0 , z = z, Show that the gradient operator in cylindrical coordinates is given by z = z 1. V= pa, +÷ôaq + 2əz
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer