Using python create functions that can convert cartesian coordinates into spherical and cylindrical polar coordinate systems. NumPy is preferred for trig functions. Use a for loop and your functions to convert the list of [x, y, z] data below into the other two coordinate systems. data = [[1, 2, 0.5], [2, 3, 1], [1, 1, 1], [4, 5.5, 2], [120, 35, 76]].

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Using python create functions that can convert cartesian coordinates into spherical and cylindrical polar coordinate systems. NumPy is preferred for trig functions. Use a for loop and your functions to convert the list of [x, y, z] data below into the other two coordinate systems.

data = [[1, 2, 0.5], [2, 3, 1], [1, 1, 1], [4, 5.5, 2], [120, 35, 76]].

Spherical Polar Coordinates.
Spherical
Cartesian
Va2 + y² + z² _x = r cos 0 sin ø
r =
0 = tan-1 4
y = r sin 0 sin o
%3D
= cos
z = r cos o
1
Transcribed Image Text:Spherical Polar Coordinates. Spherical Cartesian Va2 + y² + z² _x = r cos 0 sin ø r = 0 = tan-1 4 y = r sin 0 sin o %3D = cos z = r cos o 1
Cylindrical Polar Coordinates.
(r, 0, z)
y
Cylindrical
Cartesian
r = Vx² + y² x = r cos 0
= tan¬1 4
y =r sin 0
z = z
z = z
Transcribed Image Text:Cylindrical Polar Coordinates. (r, 0, z) y Cylindrical Cartesian r = Vx² + y² x = r cos 0 = tan¬1 4 y =r sin 0 z = z z = z
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