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What is Archimedes principle?
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Definition. Archimedes principle states
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that a body fully or partially immersed
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in a fluid experiences an upward force
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called up thrust or buoyant force equal
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to the weight of the fluid displaced by
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the body. Explanation: When an object
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enters a fluid such as water, it pushes
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some of the fluid aside. The displaced
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fluid produces an upward force on the
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object. This force acts against gravity
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and determines whether the object
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floats, sinks, or remains suspended. If
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the up thrust equals the object's
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weight, it floats. If the up thrust is
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less than the object's weight, it sinks.
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If both forces are equal at some point,
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it stays suspended. The buoyant force is
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calculated using up thrust equals row *
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v * g, where row is the fluid density. V
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is the displaced fluid volume and G is
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acceleration due to gravity. Imagine,
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imagine placing a stone and a piece of
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wood in a bucket of water. The wood
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floats because the water pushes it up
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strongly enough to balance its weight.
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The stone sinks because the water cannot
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push up with enough force to support it.
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In simple terms, Archimedes principle
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means the more fluid you push away, the
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more the fluid pushes back up. Formula
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up thrust buoyant force equals row vg
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where row equals density of fluid
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kilogram per cubic meter. V equals
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volume of displaced fluid cub me. G
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equals acceleration due to gravity 9.8
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m/s squared. Key points. An immersed
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body loses apparent weight. Floating
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occurs when weight equals up thrust.
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Sinking occurs when weight greater than
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up thrust. Up thrust depends only on
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displaced fluid, not the object's
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material. Bases for flotation and ship
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design. Applies to gases and liquids.
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Examples: a large ship floating on water
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despite being made of steel. A hot air
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balloon rising because displaced air
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creates up thrust. A swimmer feeling
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lighter in a swimming pool. Hydrometers
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floating at different depths to measure
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density. Applications: Ship building and
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marine engineering. Hydrometers, hot air
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balloons, swimming and diving science,
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determining density of irregular
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objects, fluid mechanics and buoyancy
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design. Question: Why does a heavy steel
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ship float while a small solid metal
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block sinks? Answer: Because the ship
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displaces a large volume of water,
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producing a large up thrust that
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balances its weight. The solid metal
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block displaces only a small volume and
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cannot generate enough up thrust to
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support its weight. Solved problem Q and
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question. A wooden block of volume 0.0
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to cub m is placed in water of density
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1,00 kilog per meter. Calculate the up
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thrust acting on the block. Answer up
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thrust equals rog equals 1,00 * 0.02
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* 9.8 8 equals 196. And so the water
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pushes upward on the block with a force