Coordinate Conversion (13.7) Flashcards
1
Q
x in cylindrical
A
x=rcostheta
2
Q
y in cylindrical
A
y=rsintheta
3
Q
z in cylindrical
A
z = z
4
Q
r in cartesian
A
r = sqrt(x^2+y^2)
5
Q
theta in cartesian
A
theta = tan(y/x)
6
Q
z in cartesian
A
z = z
7
Q
level surface r = R
A
cylinder of radius r
8
Q
level surface theta = theta0
A
a half sheet that aligns with ray theta
9
Q
level surface z = c
A
plane at height z
10
Q
rho (spherical)
A
distance from origin
11
Q
theta (spherical)
A
polar angle in the xy plane
12
Q
phi (spherical)
A
angle of declination from positive z axis
13
Q
rho in cartesian
A
rho = sqrt(x^2 + y^2 + z^2)
14
Q
phi trig trick into semi cartesian
A
cos phi = z/rho
15
Q
x in spherical
A
x = rhosinphicostheta
