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The mass of the water displaced by an object times the acceleration gravity (commonly denoted as "g" and known to be 9.81 m/s2 on or near the surface of the Earth) equals the buoyant force. This is shown as:

Fbuoy= mg

Fbuoy is the buoyant force on the object

m is the mass of the water displaced by the object

g is the gravitational constant

I think what you were really trying to ask is, "what is the relationship between the weight of the displaced water of an object and the buoyant force acting on the object?"

In this case I would have answered that the buoyant force on an object is equal to the weight of the water displaced by the object.

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Q: What is the relationship between bouyant force and mass of displaced water?
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Related questions

Who stated the relationship between bouyant force and weight of displaced fluid?

Archimedes.


Which scientist first stated the relationship between bouyant force and weight of a displaced fluid?

archimedes NOVANET


How do buoyant force happen?

The bouyant force is equal to the weight of the liquid displaced.


What is the bouyant force determined by?

The buoyant force is determined by the weight of the displaced fluid. The weight of the displaced fluid is in turn determined by the volume of the displaced fluid.


How does Archimedes principle relate the buoyant force acting on an object to the fluids displaced by the object?

The weight of the bouyant force and the fluid displaced by the object are equal.


How does Archimedes principle relate to buoyant force acting on an object to fluid displaced by the object?

The weight of the bouyant force and the fluid displaced by the object are equal.


What is the relationship between buoyant force and the volume of water displaced?

Buoyant force is equal to the weight of the water displaced.


Which scientist first stated the relationship between buoyant force and weight of a displaced fluid?

Archimedes first stated the relationship between buoyant force and weight of a displaced fluid.


Does the buoyant force on a submerged object depend on the weight of the object itself or on the weight of the fluid displaced by the object?

The upward bouyant force depends only on the weight of the displaced fluid. The NET force (object's weight - bouyant force) depends on the object's weight and will determine how fast it sinks.


Why does the weight of an object have nothing to do with bouyant force?

It's only the VOLUME of the displaced water that counts.


What is the relationship between the buoyant force and the weight of water displaced?

They are equal


Why does bouyant force act upward on an object submerged in water?

Upthrust which is equal to weight of fluid displaced