HP 48gII Graphing Calculator Bedienungsanleitung PDF herunterladen (Seite 290)

100

101

Page 9-15

The conversion from Cartesian to cylindrical coordinates is such that r =

)

1/2

, θ = tan

-1

(y/x), and z = z. For the case shown above the

transformation was such that (x,y,z) = (3.204, 2.112, 2.300), produced

(r,θ,z) = (3.536,25

,3.536).

At this point, change the angular measure to Radians. If we now enter a

vector of integers in Cartesian form, even if the CYLINdrical coordinate system

is active, it will be shown in Cartesian coordinates, e.g.,

This is because the integer numbers are intended for use with the CAS and,

therefore, the components of this vector are kept in Cartesian form. To force

the conversion to polar coordinates enter the vector components as real

numbers (i.e., add a decimal point), e.g., [2., 3., 5.].

With the cylindrical coordinate system selected, if we enter a vector in

spherical coordinates it will be automatically transformed to its cylindrical

(polar) equivalent (r,θ,z) with r = ρ sin φ, θ = θ, z = ρ cos φ. For example, the

following figure shows the vector entered in spherical coordinates, and

transformed to polar coordinates. For this case, ρ = 5, θ = 25

, and φ = 45

while the transformation shows that r = 3.563, and z = 3.536. (Change to

DEG):

Next, let’s change the coordinate system to spherical coordinates by using

function SPHERE from the VECTOR sub-menu in the MTH menu. When this

coordinate system is selected, the display will show the R∠∠ format in the top

line. The last screen will change to show the following:

1 2 ... 285 286 287 288 289 290 291 292 293 294 295 ... 863 864

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