Register to reply

Convert equation from cartesian to spherical

Share this thread:
glog
#1
Jul2-08, 09:55 AM
P: 18
This should be relitively simple:

y = x ... convert to spherical coords:

p*sin(r)*sin(t) = p*sin(r)*cos(t)

which reduces to...

sin(t) = cos(t)

tan(t) = 1 (is this right?)
t =~ 0.78... (Can i get a nice fraction for this?)

Any help is appreciated.

- glog
Phys.Org News Partner Science news on Phys.org
Fungus deadly to AIDS patients found to grow on trees
Canola genome sequence reveals evolutionary 'love triangle'
Scientists uncover clues to role of magnetism in iron-based superconductors
rootX
#2
Jul2-08, 09:59 AM
rootX's Avatar
P: 1,294
Looks good to me.

pi/4

you simply substitute and simplify.
HallsofIvy
#3
Jul2-08, 10:29 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,502
in other words, "y= x" in spherical coordinates reduces to the set of points where t= [itex]\theta= \pi/4[/itex], r= [itex]\phi[/itex] and p= [itex]\rho[/itex] can be anything. Do you see that that is, in fact, the same as the plane y= x?

glog
#4
Jul2-08, 11:04 AM
P: 18
Convert equation from cartesian to spherical

yep makes perfect sense....
only one angle is fixed :)


Register to reply

Related Discussions
Going from Spherical coordinates to Cartesian Calculus & Beyond Homework 6
Cartesian equation Calculus & Beyond Homework 5
Convert the coordiates of one vector between 2 Cartesian system Differential Geometry 3
Converting rx in spherical coordinates to cartesian. Precalculus Mathematics Homework 5
Convert space curve to cartesian Calculus 4