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Printable Version of Topic "Physics, Density."

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-- Posted by woolo at 10:53 am on Aug. 24, 2008

I'm stuck on a physics question, any help would be great!

A cylindrical cone of semi-angle α, height H and mass M is submerged in a fluid of density ρ. Givecn that the volume of a cone is 1/3 area of base x height, find the depth to which it is submerged.

Any ideas?


-- Posted by woolo at 10:58 am on Aug. 24, 2008

I guess the answer should be in algebra form. I just realy don't know what it's asking me.


-- Posted by BodomChick at 11:02 am on Aug. 24, 2008

that's rather difficult.


-- Posted by Violently Happy at 11:05 am on Aug. 24, 2008

Don't you have notes that could help you?


-- Posted by woolo at 11:06 am on Aug. 24, 2008

No sadly all the notes i have include mass as a variable. However this does not include any hint to the mass of the object. :(


-- Posted by ElephantStone at 11:14 am on Aug. 24, 2008

Lets think...what is density...density is the amount of matter in an object, if Im correct so that is the volume of the cone which is (1/3)(pie.r^2)(H)....

There are 2 things that can happen: the cone can sink, or float, depending on whether it is less dense or more dense than the fluid...

So (1/3)(pie.r^2)(H)>p

Now thats a test, lets see if it can be proved...

archimedies principle applies here I think..

well change density to pressure

(1/3)(pie. r^2) H = row.g.H

cancelt he Hs

(1/3)(pie.r^2)=row.9.8

(pie.r^2)/row=9.8/1.333
ditto            =7.351


I lost myself now, but it goes something liek that Im sure. Hopefully my notes might be of some use. Ill come back later and try.


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