The buoyant force

This calculator computes the buoyant force and weight of the liquid displaced, given the volume of a body in water

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Karen Luckhurst

Created: 2011-07-23 14:55:58, Last updated: 2020-12-18 12:35:52
Creative Commons Attribution/Share-Alike License 3.0 (Unported)

This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work Also, please do not modify any references to the original work (if any) contained in this content.

This calculator was created at a user's request. He wanted to find the weight of a body in liquid. So, here comes the Archimedes' principle: The buoyant force on a submerged object is equal to the weight of the liquid displaced by the object.
F_A=\rho_w Vg

So, from one side, the body in the liquid is affected by the gravity force, which is F_g=mg or F_g=\rho Vg. From the other side, the body in the liquid is affected by the buoyant force. Now, everything depends on the body's density. If it is greater than the liquid density, the body will sink, if not – it will be pushed out of the liquid until the two forces become equal (The buoyant force becomes less as the body comes up out of the liquid). The part in the water will be proportional to the liquid/body densities ratio.

The difference between actual weight and apparent weight will be equal to the weight of the liquid that was displaced, and it is the volume of the body under the water multiplied by liquid density.

PLANETCALC, The buoyant force

The buoyant force

Digits after the decimal point: 2
Buoyant force (N)
Weight of liquid (kg)

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PLANETCALC, The buoyant force