# Archimedes’ principle (buoyant force) : Archimedes ka Siddhant

Today, through this article, what is Archimedes Principle? What is ACB? How does it work? What are the different types of ACB? What are the applications of ACB? etc. to be told.

Friends, if you want to get all the information related to ACB, then definitely read this article of ours completely.

## Who was Archimedes?

Archimedes was a great Greek mathematician, born in 287 BC in Syracuse, Sicily. Archimedes made some important discoveries/researches in the fields of mathematics, physics, engineering, astronomy and mechanics.

## The Story Behind Archimedes’ Principle : Archimedes Story in Hindi

It is said that King Hiro II of Greece gave some gold to Sonar to make a gold crown for himself, but when the king saw the crown made by Sonar, he found it weighing less than the gold given by him.

When the king asked Archimedes to find out the correctness of the crown, Archimedes got into thinking and one day when he entered his tub to take a bath, he wondered why we feel a decrease in weight while bathing in water, And then he saw the level of water in the bathing tub which was already increased, then he started thinking that maybe the decrease in our weight while bathing in water is equal to the weight of this increased water. It is possible

Inspired by this thought, he did an experiment, he took a large pot and filled it completely with water. Now taking the gold crown and putting it in the vessel which was full of water, after putting the gold crown in the pot, collected the water that came out of the pot.

In this way, when he put the crown in the pot, he found that the weight of the crown in the water is being reduced partially as compared to outside, after measuring the weight of the water coming out of the pot, he found that the weight of the water coming out of the pot was as much. It was the same, as much as the weight of the crown had decreased when it was put in water.

Then put gold equal to the weight of gold given by the king to make the crown and also collected that water coming out of the pot, then on comparing the two it came to know that the crown made by Sonar was more adulterated ( Since gold, whether in a solid state or in crown form, will have the same density, it will deflect water equal to its own weight).

Delighted by his wonderful discovery, he marched through the streets of Greece shouting ‘Eureka Eureka’, which means “I found”, “I have found”. In this way he discovered the principle that the apparent reduction in the weight of the object when put in a liquid is equal to the weight of the liquid displaced by the object, let us now understand this principle in detail.

## Archimedes’ Principle : Archimedes ka Siddhant / Law

According to Archimedes’ principle,When an object is partially or fully immersed in a substance, a decrease in its weight is felt, this apparent decrease in the mass of the object is equal to the weight of the fluid displaced by it.,

For example, when we put a bucket in a cistern of water, the bucket filled with water remains lighter and as soon as the bucket is taken out of the water, it feels heavier than before. This is because the buoyant force exerted by the water on the bucket filled inside the water, makes the bucket lighter.

To better understand this principle of Archimedes, we must first density, buoyancy/perturbation force And flotation It is important to understand. Now let’s get to know them

### Density

The density of any object depends on the ratio of its mass and volume. Simply put, the closer the atoms of a substance are, the greater will be its density and mass, and as the distance between the atoms increases, its density decreases and its volume increases.

Density(d) = Mass(m)/Volume(V)

Thus the density is directly proportional to the mass of the object and inversely proportional to the volume, that is, if the mass of the object remains constant, its density will increase, and if the mass remains constant, then its density will increase.

For example, we took a 1 kg cotton ball which is the size of a cricket ball, then we machined it to the size of a football, by doing this we found that the cotton had the same weight in both the cases , but increased in volume resulting in decrease in density. That is, the cotton remained less dense than before.

## buoyant force : Utplawakta bal kya hai

When an object is immersed in a liquid, there is an apparent decrease in its weight, and in the opposite direction of the sinking of the object, an upward force is applied by the fluid, which is called buoyancy or buoyant force. This happens because the body exerts a downward force of action while entering the liquid and the fluid also exerts an upward force in the form of a reaction to this force.

Buoyancy depends on the volume of the object and the density of the liquid. Thus, as the volume of the object increases, the more liquid it will displace, and as the density of the liquid increases, the buoyant force exerted by it on the object will also increase.

For this reason it is easier to swim in the sea than in freshwater rivers / lakes, because the density of sea water is more due to the presence of impurities like sodium chloride, due to which the buoyant force on the body is more, and we have to swim. There is ease.

also read

### Floatation

Floatation is the action of any type of object floating on a liquid. The action of flotation depends on the weight of the object and the thrust force of the liquid.

Whether a solid object will float or sink above or under water is determined by the following factors:-

1. volume and density of solid
2. density of the liquid

Let the mass and density of an object in air = W1, d1

And buoyant force and density of the liquid = W2, d2

(Since buoyant force (E) = apparent decrease in mass of the object = mass of fluid displaced by the object)

Swim rule:

1. When W1>W2 or d1>d2 Here the mass and density of the solid object is greater than the density and buoyancy of the liquid, so the object will sink. For example, an iron ball sinks in water.
2. W1=W2 or d1=d2 Here the weight and density of the solid object is equal to the density of the liquid and the buoyant force, so the object will float partially immersed in the liquid. For example, some part of the ship remains under water.
3. W2>W1 or d2>d1 Here the density and buoyant force of the liquid is greater than the mass and density of the solid object, so the object will float on top of the liquid. For example, dried wood floats on water.

## In this way the formula of Archimedes’ principle will be established as follows

We take a springy balance and hang a solid object under it, and then put it in a beaker filled with water, we will find that the weight of the object decreases when we put the object in water, which we can calculate by the magnitude of the balance. I can see When a solid object is put in a beaker filled with water, we collect the water displaced by it in another beaker.

According to Archimedes principle, the apparent decrease in the mass of the object = the weight of the fluid displaced by the object

We understand this in such a way that the weight of a solid object is W1 in air and W2 when immersed in a liquid, then

Approximate decrease in the weight of the object when immersed in a liquid = (weight of the object in air – weight of the object when immersed in a liquid) = W1-W2

If the volume of the liquid displaced by the object is V and the density of the liquid is d when the object is immersed in a liquid, then-

Mass of liquid removed (m) = Density(d)×Volume(V) = Vd {Since Density(d) = Mass(m)/Volume(V)}

Now the mass of the liquid removed = mg = vdg (here g is the gravitational constant)

Thus, the apparent reduction in the weight of the object (W1-W2) = vdg

FAQs

#### Q1. What is Archimedes’ principle?

Answer, When a solid is completely immersed in a liquid, it loses its weight, which is equal to the weight of the liquid it displaces.
apparent weight = actual weight – buoyant force = mg−ρgV
where m = mass of the object and = density of the liquid

#### Q2. What is called buoyant force?

Answer, When a solid is immersed wholly or partially in a liquid, the liquid exerts an upward force on the solid which is called buoyant force or buoyancy force.

The value of buoyant force is equal to the product of the volume of the solid immersed in the liquid, the density of the liquid and the acceleration due to gravity.

Usage : when you go to bath in the morning try to dip the mug lying in the water vault in the water then the water exerts a buoyant force on the mug

#### Q3. Who was Archimedes?

Answer.Archimedes was a great scientist, physicist, mathematician and engineer living in Greece. Archimedes is a great inventor, famous all over the world for his work and invention. His contribution in the scientific field has been significant.

In his life, he discovered 1) the principle of buoyancy, 2) the law of levitation and 3) Archimedes’ screw machine and proved them through experiments.

#### Q4. Who is the ‘Father’ of Mathematics?

Answer, Archimedes is called the father of mathematics, who was the greatest mathematician of ancient times.

#### Q5. How was Archimedes’ principle discovered?

AnswerArchimedes: Archimedes took a mass of gold and silver equal to the weight of the crown. That Archimedes discovered his theory when he saw the water rising in his bathtub and said “Eureka!” Walked out naked shouting, “I’ve found it!” is considered a later embellishment of the story.

#### Q6. What was the greatest invention of Archimedes?

Answer:Archimedes was famous for his inventions and scientific discoveries. The most famous of these were the Archimedes’ screw (a device for raising water that is still used today in crop irrigation and sewage treatment plants) and Archimedes’ principle of buoyancy.

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