Question

what is derivation of P=hpg

Answer 1

Pressure = Force / Area
= F / A
= ma / A
= (Ahρg) / A ……[∵ (mass = Volume×Density) and (Volume = Area×Length)]
= hρg

∴ P = hρg

Answer 2

Derivation of P= hpg :

Explanation:

• Weight = mass of column x g
• mass = density x volume so W = (pV) *g
• Volume = cross sectional are x height so W = p x Ah x g

• Pressure = Force / Area = F / A
•  ma / A = hρg
• Therefore, P = hpg.