Question

define archimedes principal and it's principles

Answer 1

Archimedes Principle Formula

Archimedes’ principle indicates that the increasing buoyant force that is applied on a body submerged in a liquid, whether partially or fully immersed, is equivalent to the mass of the fluid that the form displaces. The object will sink, if the mass of the water displaced is less than the weight of the body, otherwise, the body will float, with the weight of the water displaced equivalent to the mass of the object.

When a body is totally or partly submerged in a fluid it experiences buoyancy (upward force) that is equivalent to the mass of the fluid displaced.
Archimedes Principle Formula is known as

B=density×g×h

Where, Buoyant force of a given body = B
Volume of the displaced fluid = v
acceleration due to gravity = g

As we see that density ρρ = ρf – ρg. Here ρf is the density of the fluid and ρo is the density of the body.
Thus, the formula can also be articulated as

B=(density liq - density object)gV


Problem 1: A ball of mass 2 kg that has a diameter of 50 cm falls in the pool. Compute its buoyant force and volume of water displaced.
Answer:
Known:
Mass of water, m = 2 kg,
Diameter of ball, d = 0.5 m r = 0.25 m
vol of sphere 4/3πr^3
The force is given by F = mg. Hence buoyant force is
F = 2 kg × 9.8 m/s2 = 19.6 N
The Archimedes formula is given by F = ρρ g Vdisp
Hence volume of given body=Volume of displaced liquid

Problem 2: Calculate the buoyant force acting on it, if a stone of mass 250 g is thrown in water?
Answer:
Known: m (Mass of stone) = 0.25 kg,
The buoyant force is given by
F = mg
= 0.25 ×× 9.8
= 2.45 N.

Thus, 2.45 N of upward force is being applied on the stone.

Answer 2

Archimedes principles

states that when a body is immersed fully or partially in a fluid, it experience an upward thrust which is equal to the weight of the fluid displaced by it.

Application:-

• Designing ships and submarines.
• Hydrometers are used to measure density of liquids.