Register to reply

Spherical coordinates

by brad sue
Tags: coordinates, spherical
Share this thread:
brad sue
#1
Nov20-05, 11:41 PM
P: 284
Hi,

Please can someone help me with this problem:

find the triple integral over T( using spherical coordinate)

T: 0<=x<=1
0<= y<=sqrt(1-x^2)
sqrt(x^2+y^2)<= z <= sqrt(2-(X^2+y^2))


please help me just to find the boundaries of the integrals.
I tried but I did not find the solution of the textbook. ( because I set the wrong triple integral) I also tried to draw a picture but ...nothing


Thank you
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice
da_willem
#2
Nov21-05, 01:51 AM
P: 599
Use the relations between Cartesian (x,y,z) and spherical coordinates ([itex]r,\theta,\phi[/tex]) to substitute for x, y and z:

[tex]x=rsin(\phi)cos(\theta)[/tex]
[tex]y=rsin(\phi)sin(\theta)[/tex]
[tex]z=rcos(\phi)[/tex]

where phi is the angle between a vector and the z-axis. theta is the angle between the projection on the x,y plane ad the x-axis.
TD
#3
Nov21-05, 10:26 AM
HW Helper
P: 1,021
Also don't forget your Jacobian, in this case being rēsin(phi).


Register to reply

Related Discussions
Spherical Coordinates to Rectangular Coordinates Advanced Physics Homework 7
Spherical Coordinates Calculus & Beyond Homework 8
L^2 in spherical coordinates. Advanced Physics Homework 7
Spherical coordinates? General Math 4
Spherical Coordinates General Math 3