Mathematical Analysis of an Ideal ZED

[mondrasek]

Minnie is correct.  Look up Archimedes' Paradox.

No. 

The VOLUME of any object submersed in a body of water will displace an equal VOLUME of water.

However, the weight (mass) of the object must not equal the weight (mass) of the displaced volume of water.

But the VOLUME of any object submersed in a body of water will displace an equal VOLUME of water.

Archimedes "paradox" (not Principle) does not apply at all in this case.

[orbut 3000]

But...
http://en.wikipedia.org/wiki/Archimedes_paradox

[minnie]

   But I wasn't on about a body of water. The inside of a ZED could be hardly classed as a
    body of water. Well you've got to try haven't you?
                   John.

[mondrasek]

But...
http://en.wikipedia.org/wiki/Archimedes_paradox

Yes.  And Archimedes' "paradox" (or the "hydrostatic paradox") is concerning a specific case.  That 'case'  states that an object can float in a quantity of water that has less volume than the object itself, if its average density is less than that of water.

Please show me where we have anything in the Ideal ZED model that has an average density less than water?

M.

[MarkE]

Don't mind me none,, but these are from r4 as I downloaded it.

this is Mark's air height number for state 3

Air height AR6 from top of Wall 3 down

Do any of these look correct?


23.587792 air height
41.412208 ar6 height
2.590477 lift
65 wall 3 height
1 vergap
1 vergap

65−(23.587792+41.412208+2.590477+1) = −3.590477

(65+1)−(23.587792+41.412208+2.590477) = −1.590477

(65+1)−(23.587792+41.412208+2.590477+1) = −2.590477

(65+1+2.590477)−(41.412208+23.587792) = 3.590477

(65+1+2.590477)−(41.412208+23.587792+1) = 2.590477

23.587792+41.412208 = 65
edit to add Marks comment: Air height AR6 from top of Wall 3 down

The question here is what are you trying to calculate?
ST3_AR6_AirHeight=(Riser3AirCirVol-(Wall3Height-ST3_AR5_Height)*AR5CirArea-ST3_Uplift*(AR5CirArea+RingWall3CirArea+AR6CirArea)-Riser3IDCirArea)/AR6CirArea
ST3_AR6_Height=(AR6_7WaterVol-(ST3_AR7_Height*AR7CirArea)-((VerGap+ST3_Uplift)*Riser3WallCirArea))/AR6CirArea


Questions?