Archimedes' principle

Question 1

What is the equation for the pressure exerted by any vertical column of a liquid?

Answer 1

p=hρg

Pressure= Height of column • density • g

Question 2

How do you derive the equation for the pressure exerted by a column of liquid?

Answer 2

⇒w=mg m-mass of column
⇒pA=Vρg w=pA
⇒pA=Ahρg
⇒p=hρg

Question 3

What is upthrust?

Answer 3

The buoyant force exerted on an immersed object. Such that this is equal to the mass of liquid displaced.

Question 4

What is the derivation for upthrust?

Answer 4

⇒p=hρg
⇒F=hρgA #Force on surface of an object
⇒F=(h+𝛿)ρgA #Force at the bottom of an object
⇒F=(h+𝛿)ρgA-hρgA=𝛿Aρg #Upward resultant
⇒F=Vρg #A𝛿=V
⇒F=mg #Hence weight of water displaced