How to understand Archimedes principle

How to understand Archimedes principle

Archimedes principle: objects immersed in liquid are subject to upward buoyancy, and the buoyancy is equal to the gravity of the liquid it displaces
Mathematical expression: F floating = g row = ρ coating · g · V row
Unit: F - Newton, ρ - kg / m3, g%% - Newton / kg, V - m3
Related factors of buoyancy: buoyancy is only related to ρ liquid and V discharge, has nothing to do with ρ substance (g substance) and H depth, and has no direct relationship with V substance
Scope of application: liquid, gas
3、 Derivation of Archimedes principle
According to the cause of buoyancy - the pressure difference between the upper and lower tables:
P = ρ liquid GH 1, = ρ coating GH 2 = ρ liquid g (H 1 + L)
F floating = f up-f down = PL 2-L 2 = ρ liquid G [H 1 - (H 1 + L)] L 2 = ρ liquid · g · V row
5、 Explanation
In the past teaching, Archimedes' principle formula directly gave f-floating = ρ - liquid · g · V row, and emphasized the meaning of ρ - liquid and V row. In this way, students will remember the formula f-floating = ρ - liquid · g · V row, and ignore f-floating = g row, which deviates from the basic content of Archimedes' principle. In designing this teaching plan, I deliberately wrote the mathematical expression of Archimedes' principle as f-floating = g row, and then g-floating = ρ - liquid · g · V row, In this way, students can better understand the essence of Archimedes principle and master an expression of gravity g = ρ · g · v
The buoyancy of an object immersed in water is equal to the gravity of the liquid displaced by the object. This is the famous Archimedes principle