What is Archimedes Principle explain with example?

The principle of Archimedes is related to the energy applied to an object by the surrounding fluid. This applied energy reduces the total weight of the liquid-soaked substance. In this article, let us get acquainted with Archimedes’ system.

**The principle of Archimedes states that :**

**The upward buoyant force that is exerted on a body dipped into a fluid, whether partially or fully submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid’**

**Archimedes Principle Derivation**

The mass of the liquid displaced is.

Mass = Density × Volume = ρ× V

This is because density (ρ) is defined as

Density,ρ= Mass/Volume = M/V

Thus the weight of that displaced liquid is:

Weight = Mass × Acceleration due to gravity

W = M × g= ρ × V × g

from the Archimedes principle, we can write:

The apparent loss of weight = weight of water displaced = ρ×V×g

Thus, the Thrust force is,

Thrust =ρ × V × g

### Archimedes Principle Examples–

**1. Calculating the resulting force, if a metal ball of radius 6 ****cm is dipped into water.**

**Ans: here**,

Radius of metal ball = 6 cm = 0.06m

Volume of metal ball, V = 43πr343πr3

V = 43π0.06343π0.063

∴V = 9.05 × 10-4 m3

water density ρ = 1000 kg.m-3

Acceleration (due to gravity), g = 9.8 m.s-2

From Archimedes principle law we get,

Fb = ρ × g × V

Fb = (1000 kg.m-3)(9.8 m.s-2)(9.05 × 10-4 m3)

∴Fb = 8.87 N

**2. Calculateing the buoyant force, if a floating object is 95% submerged into water. The density of water is 1000 kg m-3.**

**Ans: here, **

water density, p = 1000 kgm-3

From Archimedes principle formula,

Fb = ρ × g × V

or,

Vb × ρb × g = ρ × g × V

here,

ρ,g, and V are the density, acceleration due to gravity, and volume of the water

Vb , ρb , and g are the volume, density and acceleration due to gravity of body dipped

Rearranging the equation

ρb=VρVbρb=VρVb

Since, 95 percent of the body is immersed,

0.95 × Vb = V

∴ρb = 950 kgm-3

**Archimedes Principle Experiment**

**Applications for Archimedes Principle**

**Submarine**:

**Frequently Asked Questions about Archimedes Principle –**

**What does the Archimedes Principle say?**

**Who got the Archimedes Principle?**

**How does the Archimedes system work on ships?**

**Where is the principle of Archimedes used?**

**How can the Archimedes Principle be used to determine congestion?**