- #1
Apashanka
- 429
- 15
- Homework Statement
- Suppose mass function in 3-D is given as m(x,y,z) and mass density as $$\rho(x,y,z)$$
- Relevant Equations
- $<m>=\frac{\int_vm(x,y,z)dv}{\int v} $
I want to express <m(x,y,z)> over a sphere of radius R in terms of $$<\rho(x,y,z)>$$
e.g $$<m>=\frac{\int_{sphere R}m(x,y,z)dv}{\int_{sphere}dv}$$
$$<m>=\frac{\int_{sphereR}(\int \rho(x,y,z)dv)dv}{\int_{sphere R}dv}$$
e.g $$<m>=\frac{\int_{sphere R}m(x,y,z)dv}{\int_{sphere}dv}$$
$$<m>=\frac{\int_{sphereR}(\int \rho(x,y,z)dv)dv}{\int_{sphere R}dv}$$