What is Archemedes Principle?
What are it's uses?
Answers
Archimedes principle states that when a body is immersed wholly or partially in a liquid, it experiences an upward buoyant force of magnitude equal to the weight of the liquid displaced by it.
Buoyant force = Weight of displaced liquid
Weight of displaced liquid = Mass of the displaced liquid × Acceleration due to gravity
= Density of the liquid × Volume of the displaced liquid × Acceleration due to gravity
∴Volume of the displaced liquid = Volume of the object that is immersed in the liquid
∴Weight of the displaced liquid = Volume of the object immersed in the liquid × Density of the liquid × Acceleration due to gravity
Hence, we can write the magnitude of the upthrust on an object that is immersed in a liquid as Buoyant force = Volume of the object × Density of the liquid × Acceleration due to gravity Since buoyant force depends on the density of the liquid in which it is immersed, it is different in different liquids for the same object.
Submarine:
A submarine has a large ballast tank, which is used to control its position and depth from the surface of the sea.
A submarine submerges by letting water into the ballast tank so that its weight becomes greater than the buoyant force (and vice versa). It floats by reducing water in the ballast tank.-thus its weight is less than the buoyant force.
2. Hot-air balloon
The atmosphere is filled with air that exerts buoyant force on any object.
A hot air balloon rises and floats due to the buoyant force (when the surrounding air is greater than its weight). It descends when the balloon weight is more than the buoyant force. It becomes stationary when the weight = buoyant force.
The weight of the Hot-air balloon can be controlled by varying the quantity of hot air in the balloon.
3. Hydrometer
A hydrometer is an instrument to measure the relative density of liquids.
It consists of a tube with a bulb at one end. Lead shots are placed in the bulb to weigh it down and enable the hydrometer to float vertically in the liquid.
In a liquid of lesser density, a greater volume of liquid must be displaced for the buoyant force to equal to the weight of the hydrometer so it sinks lower.
Hydrometer floats higher in a liquid of higher density.
Density is measured in the unit of g cm-3.
4. SHIP
A ship floats on the surface of the sea because the volume of water displaced by the ship is enough to have a weight equal to the weight of the ship.
A ship is constucted in a way so that the shape is hollow, to make the overall density of the ship lesser than the sea water. Therefore, the buoyant force acting on the ship is large enough to support its weight.
The density of sea water varies with location. The PLIMSOLL LINE marked on the body of the ship acts as a guideline to ensure that the ship is loaded within the safety limit.
A ship submerge lower in fresh water as fresh water density is lesser than sea water. Ships will float higher in cold water as cold water has a relatively higher density than warm water.
Hey !! ✨✨ Here's your Answer ✨✨ ____⬇⬇⬇⬇⬇⬇⬇⬇⬇____ Archimedes’ principle, physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force the magnitude of which is equal to the weight of the fluid displaced by the body. The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid or to that fraction of the volume below the surface for an object partially submerged in a liquid. The weight of the displaced portion of the fluid is equivalent to the magnitude of the buoyant force. The buoyant force on a body floating in a liquid or gas is also equivalent in magnitude to the weight of the floating object and is opposite in direction; the object neither rises nor sinks. Example.. a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight. As the ship is loaded, it sinks deeper, displacing more water, and so the magnitude of the buoyant force continuously matches the weight of the ship and its cargo. Hope helps you ✌✌