# ARCHIMEDES PRINCIPLES

**Archimedes principle**, this is a very important and interesting phenomenon of

**hydrostatic.**

There are lot of application of this principle in our daily life. Some application are list below:

1). **Floatation** of boat and ships on the surface of water.

2). Upward motion of air bubbles in the water.

3). Sudden upthrust in a mug when it is dipped perpendicularly in the water.

4). Not sinking of a air filled balloon if it is dipped in the water , and many more application can be found if we start searching in our surroundings.

So, question is **what Archimedes principle states?**

If we talk about it then **Archimedes principle** simply states that if a object is immersed fully or partially in the fluid (liquid or gas) then it suffer a upward buoyant force, that is equal the weight of the fluid which object displaced. This concept is given by a Greek philosopher **Archimedes** in 250 BCE

## SIMPLIFIED EXPLANATION

**fluid**then it is observed that it’s original weight gets reduced. Then Archimedes thought that somewhere fluid is applying a upward force that opposes object

**gravitational weight**.

**acceleration due to gravity**, which is acting on the ball.

**displaced water**. And his upward force or upthrust is termed as

**buoyant force**. After performing all these experiments he says that if a body is

**immersed fully or partially**in the fluid then the volume of fluid displaced is equal to the volume of the object, and the weight of the volume displaced is equal to the buoyant force which act as the upthrust and used to opposes the gravitational pull and give a upward motion.

**buoyant force**and it’s

**gravitational weight.**

**displaced fluid**, when an object are used to be sink fully or partially in the fluid.

## DERIVATION FOR THE EQUATION

Let’s take a spherical ball of **density** ρ and radius R , and a fluid of density σ

Then the volume of the sphere is = (4/3)πR^3

And weight of the ball is = Mg = Vρg

= (4/3)πR^3ρg

And weight of the displaced fluid is= (4/3)πR^3σg = Vσg = buoyant force

If ;

Buoyant force > gravitational weight = rises up.

Buoyant force < gravitational weight = sink

Buoyant force = gravitational force = static

Neither sink nor rise, remains at same position.

**Archimedes principle.**