Detector mass questions

Hi, Jonathan,

Ang Lee pointed out that the detector mass is not 200 ton, but quite a bit less.

I have calculated the mass for a 6.8 m diameter sphere , filled with mineral oil, made of 1/4 inch steel.
I get 147 (metric) ton total.
Supports and electronics may pop this up to about 150 ton, but not much more.

I think we need to be careful not to add safety factors at every stage.
Things can get funky quickly!

Hans
____________________________________________________________________________
By the way,

if the borehole cost dominates (as I suspect), it may be worth looking at slightly non-spherical shapes.
I have done a paper exercise of adding a cylindrical section equal to one radius (3.4 m) to the vessel.
As one might expect the mass goes up (from 147 ton to 256 ton),
accompanied by a large gain in fiducial volume, from 24.5 m^3 to 55 m^3, more than double.
It may be worth running the light collection Monte Carlo for this shape.
The gain ratio will be available at any diameter.
We may be able to do a better experiment, reduce cost, or both

Hans

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      Pi
     3.141593
     
     
     
     
      diameter
     6.8
     m
     
     
     
      Volume
     164.6362
     m^3
     
     
     
      Density of oil
     850
     kg/m^3
     
     
     
      Oil Mass
     139940.8
     kg
     139.9408
     ton
     

     
     
     
     
     
      Surface area
     145.2672
     m^2
     
     
     
      Steel thickness
     6.35E-03
     m
     
     
     
      Steel density
     7850
     kg/m^3
     
     
     
      Steel volume
     9.22E-01
     m^3
     
     
     
      Steel mass
     7.24E+03
     kg
     7.241209
     ton
     

     
     
     
     
     
      Fiducial volume diameter
     3.5
     m
     
     
     
      Fiducial volume
     22.4493
     m^3
     
     
     

     
     
     
     
     
      Total mass
     1.47E+05
     kg
     147.182
     ton
     

     
     
     
     
     
      Add cylinder of height one radius:
     
     
     
     

     
     
     
     
     
      Added height
     3.4
     m
     
     
     
      Added volume
     123.4772
     m^3
     
     
     
      Added mass
     104955.6
     kg
     
     
     
      Added surface area
     72.63362
     m^2
     
     
     
      Added steel volume
     4.61E-01
     m^3
     
     
     
      Added steel mass
     3.62E+03
     kg
     
     
     

     
     
     
     
     
      Total added mass
     1.09E+05
     kg
     108.5762
     ton
     

     
     
     
     
     
      Fiducial volume diameter
     3.5
     m
     
     
     
      Added Fiducial volume
     32.71183
     m^3
     
     
     

     
     
     
     
     
      Total new mass
     2.56E+05
     kg
     255.7582
     ton
     

     
     
     
     
     
      Total new fiducial volume
     55.16113
     m^3
     
     
     
Received on Wed Aug 4 08:49:12 2004