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Law of Flotation Formula derived.


prashantakerkar
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16 minutes ago, prashantakerkar said:

https://en.m.wikipedia.org/wiki/Archimedes'_principle

Formula derived : F= rho  × g  × v

rho is constant.

How the value of rho = 100 computed or derived ?

Thanks & Regards,

Prashant S Akerkar

 

rho is density, mass per unit volume of the displaced fluid.

Edited by J.C.MacSwell
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1 minute ago, prashantakerkar said:

Rho is liquid constant taken as 100 written in wiki.

How the value 100 is derived or computed?

F= Rho * g * v - Archimedes formula.

We have to input Rho value as 100 in the above formula. How Rho a liquid constant as 100 is derived ?

"In the system of Greek numerals, it has a value of 100. "

Keyword is Greek numerals!

 

When it's used in physics, it has different, context dependent, meaning.

 

Rho is also symbol of meson particle in high energy physics.

https://en.wikipedia.org/wiki/Rho_meson

 

These things should not be mixed and confused together.

 

Analogical situation: imagine Roman numerals. There are e.g. I, V, X, C, M.. Each of these letters has some value 1, 5, 10, 100, 1000..

 

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Thank you.

I agree. But why take a value as 100 and why not say 1,10,1000 etc ?

Archimedes has taken value as 100 which is a Roman numeral as 100 for Rho.

There are many Roman numerals as 1,10,1000 etc

In the formula Archimedes says

F=Rho * g * v

Why not the below ?

F=1*g*v

Or

F=10×g×v

Or

F=1000×g×v

Or 

Some other value ....

Thanks & Regards,

Prashant S Akerkar

 

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Thank you.

I.e Archimedes is generalising the formula for Buoyancy force calculation  in law of Flotation as

F= Density of fluid × g × v

and not 100  which is the liquid constant Rho as mentioned in wiki.

Is this Incorrect ?

F= Rho × g × v 

Should the formula be corrected as mentioned by Archimedes?

Density of fluid will vary from water, oil,milk etc.

Thanks & Regards,

Prashant S Akerkar

 

Edited by prashantakerkar
Content.
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1 hour ago, prashantakerkar said:

Thank you.

I.e Archimedes is generalising the formula for Buoyancy force calculation  in law of Flotation as

F= Density of fluid × g × v

and not 100  which is the liquid constant Rho as mentioned in wiki.

Is this Incorrect ?

F= Rho × g × v 

Should the formula be corrected as mentioned by Archimedes?

Density of fluid will vary from water, oil,milk etc.

Thanks & Regards,

Prashant S Akerkar

 

Rho is the density of the fluid.

Rho is only 100 in some Greek numeral system I've personally never seen before but is utterly irrelevant here.

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