Question

How is Buoyant force related to weight of water displaced?

Answer 1

Hint: We have the relation between them happens using the Archimedes’ principle. First we have to use the concept that a bouncy force will always act in upward direction as the weight to the object is always acting downward. Now on comparing their magnitude we can solve the problem.

Complete answer:
We need to find how a buoyant force is related to the weight of water displaced.
Bouncy is also known as upthrust, as it is an upward force that is exerted by a fluid and it acts just opposite to the weight of the body either the body immersed partially or fully. It opposes the motion of an object in a liquid.
From the above statement we can draw,

Now using Archimedes principle we can find the relation between them,
According to this principle we can state that the upward buoyant force that is exerted in a body that is immersed in a fluid either fully or partially is equal to the weight of the fluid that is displayed by this body.
Hence, the Buoyant force is equal to the weight of the water displaced by the object.

Note:
We can solve this with a diagram where in a liquid a block is present and by drawing the free body diagram.

Mathematically we can write,
${F_b} = mg$
Where,
${F_b} = $ Buoyant force
Mass of the body is m and acceleration due to gravity is $g$.