The Principle & Formula

The Principle 

So, what is Archimedes' principle? Archimedes' principle states that for an object that is partially or completely immersed in a fluid, the buoyant force acting on the object is equal to the weight of the fluid displaced.

              Buoyant Force = Weight of Fluid Displaced

U = W 

Proving the Formula

Alright, there are two ways to prove Archimedes' Principle. The experimental way, as well as the mathematical way. For the experimental way, here it is in the video below.

 Cr: Owner Of This Video

  The mathematical way is a little bit harder to grasp, nonetheless, here it is:

From this picture, we can derive the formula through meticulous work:

 

                                                      Where, F = Surface Area

                                                                 H = Height

                                                                 ρ = Density of Liquid

                                                                 U = Buoyant Force

                                                                W = Weight of Fluid Displaced

From this, we can see that, both ways proved the legitimacy of Archimedes' Principle.