Erm... No idea, the sum of the function at every point in the volume?
Yes, it is the volume element, so I would guess it represents a scalar field inside of the volume?
Sorry, but I just feel really lost now, I felt good about the last answer I gave, now I am just confused :(
-Epiclier
Yep, that's exactly what happened thanks simon.
Its not actually a volume though, its the integral of a function inside of the volume. I started again anyway because the answer I posted above was way off --> I didnt multiply by the jacobian from cartesian u-v-w to spherical u-v-w properly. So...
Homework Statement
By making two successive simple changes of variables, evaluate:
I =\int\int\int x^{2} dxdydz
inside the volume of the ellipsoid:
\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=R^{2}
Homework Equations
dxdydz=r^2 Sin(phi) dphi dtheta dr
The...
Ah, I was just doing it for practise. Completely messed it up though.
I got the final answer as . Sounds good so I'm guessing that's the right answer?
Thanks again
-Epiclier
I calculated that the velocity was equal to 2.12E5 ms-1.
Hence, as a fraction of c : v = (7.07/10000) cWould anybody be able to verify this for me?Thanks in advance-Epiclier
EDIT: sorry for the bump