# Law of Flotation Formula derived.

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Formula derived : F= Rho  × g  × v

rho is liquid constant.

How the value of Rho = 100 computed or derived ?

Thanks & Regards,

Prashant S Akerkar

Edited by prashantakerkar
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16 minutes ago, prashantakerkar said:

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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Thanks.

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 ?

Thanks & Regards,

Prashant S Akerkar

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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.

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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Thanks.

Note : Density of water is 997 kg / meter cube.

Thanks & Regards,

Prashant S Akerkar

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Thanks.

Should we take Rho as 100 or 997 or any other value to calculate the Buoyant force in the formula as mentioned by Archimedes ?

F = Rho × g × v

Thanks & Regards,

Prashant S Akerkar

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Its the density of the fluid.

Rho is not meaning 100 here.

A fluid is any liquid or gas, so the value will depend.

Edited by Endy0816
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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
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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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Thanks all for your valuable inputs.

Thanks & Regards,

Prashant S Akerkar

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