Question
Thu June 07, 2012 By:

# according to Archimedes principle and principle of floatation,weight of object=weight of liquid displaced =upthrust

Expert Reply
Fri June 08, 2012
Any floating object displaces its own weight of fluid.

The weight of the displaced fluid is directly proportional to the volume of the displaced fluid (if the surrounding fluid is of uniform density). In simple terms, the principle states that the buoyancy force on an object is going to be equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy.

Suppose a rock's weight is measured as 10 newtons when suspended by a string in a vacuum with gravity acting upon it. Suppose that when the rock is lowered into water, it displaces water of weight 3 newtons. The force it then exerts on the string from which it hangs would be 10 newtons minus the 3 newtons of buoyancy force: 10 ? 3 = 7 newtons. Buoyancy reduces the apparent weight of objects that have sunk completely to the sea floor. It is generally easier to lift an object up through the water than it is to pull it out of the water.

Assuming Archimedes' principle to be reformulated as follows,



then inserted into the quotient of weights, which has been expanded by the mutual volume



yields the formula below. The density of the immersed object relative to the density of the fluid can easily be calculated without measuring any volumes:



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