what is archemedes principle? prove it experimentally
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Our Objective
To establish the relationship between the loss in weight of a solid and weight of water displaced when the solid is fully immersed in the following solutions:
Tap water
Strong salty water
This can be done by using at least two different solids in the experiment.
The Theory
When a metallic block is immersed in water (or any other liquid), four vertical forces act upon the block below the surface of water. These forces can be grouped into two types of forces.
Downward forces
The weight of the block.
The downward thrust due to pressure of the liquid on the upper surface of the block.
Upward forces
The tension of the spring, which measures the apparent weight.
The upward thrust due to liquid present below the lower surface of the block. This upward thrust is known as Buoyancy.
What happens to the weight of a body when immersed in water?
The more a body is immersed in water, the more the weight of the body decreases. The weight of the body is least when it is completely immersed in water. This means that loss in weight of the body increases as it is completely immersed in water.
When a body is partly or completely immersed in water (or any other liquid), then:
Loss in weight of body = Weight of water (liquid) displaced by the body = Buoyant force or upthrust exerted by water (any liquid) on the body.
It was Archimedes who first observed that bodies lose their weight when immersed in water. He proposed a principle based on his observation that is now known as the Archimedes' Principle.
What does Archimedes' Principle state?
The Principle states that: “A body immersed in a liquid loses weight by an amount equal to the weight of the liquid displaced.”
Archimedes principle also states that: “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”
Thus, when a solid is fully immersed in a liquid, it loses weight which is equal to the weight of the liquid it displaces.
The more the density of liquid in which the solid is immersed, the less is the weight of the liquid displaced on immersing the solid.
Does a body float?
Some bodies, if dropped in water, sink, such as a stone or a metallic needle. On the other hand, some bodies, even of the same weight as that of those that sink, float on water. This can be proved through the Laws of Flotation.
What does the Law of Flotation state?
A body will float if the weight of the body is equal to the weight of the liquid displaced.
If the weight of the immersed body is more than the weight of the water displaced, the body will sink.
Learning outcomes
The results obtained confirm Archimedes' Principle. They prove that:
When a body is partly or completely immersed in water, it loses weight.
A body loses its maximum weight when it is completely immersed in water.
When a body is partly or completely in water then:
Loss in weight of the body = Weight of water displaced by the body = Buoyant Force or up-thrust exerted by water on the body.
Volume of the water displaced = Volume of the body immersed in water
To establish the relationship between the loss in weight of a solid and weight of water displaced when the solid is fully immersed in the following solutions:
Tap water
Strong salty water
This can be done by using at least two different solids in the experiment.
The Theory
When a metallic block is immersed in water (or any other liquid), four vertical forces act upon the block below the surface of water. These forces can be grouped into two types of forces.
Downward forces
The weight of the block.
The downward thrust due to pressure of the liquid on the upper surface of the block.
Upward forces
The tension of the spring, which measures the apparent weight.
The upward thrust due to liquid present below the lower surface of the block. This upward thrust is known as Buoyancy.
What happens to the weight of a body when immersed in water?
The more a body is immersed in water, the more the weight of the body decreases. The weight of the body is least when it is completely immersed in water. This means that loss in weight of the body increases as it is completely immersed in water.
When a body is partly or completely immersed in water (or any other liquid), then:
Loss in weight of body = Weight of water (liquid) displaced by the body = Buoyant force or upthrust exerted by water (any liquid) on the body.
It was Archimedes who first observed that bodies lose their weight when immersed in water. He proposed a principle based on his observation that is now known as the Archimedes' Principle.
What does Archimedes' Principle state?
The Principle states that: “A body immersed in a liquid loses weight by an amount equal to the weight of the liquid displaced.”
Archimedes principle also states that: “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”
Thus, when a solid is fully immersed in a liquid, it loses weight which is equal to the weight of the liquid it displaces.
The more the density of liquid in which the solid is immersed, the less is the weight of the liquid displaced on immersing the solid.
Does a body float?
Some bodies, if dropped in water, sink, such as a stone or a metallic needle. On the other hand, some bodies, even of the same weight as that of those that sink, float on water. This can be proved through the Laws of Flotation.
What does the Law of Flotation state?
A body will float if the weight of the body is equal to the weight of the liquid displaced.
If the weight of the immersed body is more than the weight of the water displaced, the body will sink.
Learning outcomes
The results obtained confirm Archimedes' Principle. They prove that:
When a body is partly or completely immersed in water, it loses weight.
A body loses its maximum weight when it is completely immersed in water.
When a body is partly or completely in water then:
Loss in weight of the body = Weight of water displaced by the body = Buoyant Force or up-thrust exerted by water on the body.
Volume of the water displaced = Volume of the body immersed in water
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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. For 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.
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