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Main Question or Discussion Point
Hey all,
I'm having trouble calculating a "workspace" volume.
The volume is easiest modeled by using spherical coordinates, and is defined by these boundaries:
(assume variables r, theta, phi)
[tex]\rho[/tex]: 1 to 1.1 meters
[tex]\theta[/tex]: 0.05 radians
[tex]\phi[/tex]: 0.1 radians
Here's how I've set up my integral:
Volume = [tex]\int^{1.1}_{1}\int^{0.05}_{0}\int^{0.1}_{0} \rho^2sin\theta \delta\phi \delta\theta \delta\rho[/tex]
I've used Pro/ENGINEER to give me the actual volume of this section: ~0.000595 m^3
But..that's not even close to what I'm getting when I solve that integral!
Anyone see where my problem is?
Thanks in advance~
I'm having trouble calculating a "workspace" volume.
The volume is easiest modeled by using spherical coordinates, and is defined by these boundaries:
(assume variables r, theta, phi)
[tex]\rho[/tex]: 1 to 1.1 meters
[tex]\theta[/tex]: 0.05 radians
[tex]\phi[/tex]: 0.1 radians
Here's how I've set up my integral:
Volume = [tex]\int^{1.1}_{1}\int^{0.05}_{0}\int^{0.1}_{0} \rho^2sin\theta \delta\phi \delta\theta \delta\rho[/tex]
I've used Pro/ENGINEER to give me the actual volume of this section: ~0.000595 m^3
But..that's not even close to what I'm getting when I solve that integral!
Anyone see where my problem is?
Thanks in advance~
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