**The difference between Archimedes principle and principle of flotation are : **

Archimedes principle | Principle of flotation | |

1. | In this principle, upthrust is equal to the weight of liquid displaced. | In this principle, weight of floating body is equal to the weight of liquid displaced. |

2. | It applies for floating and sinking object. | It applies only for floating object. |

The **principle of floatation** states that when an object floats on a liquid the buoyant force that acts on the object is equal to the weight of the object. ... If the weight of the object is greater than the upthrust, then the object will sink in the fluid.

In other words, for an object floating on a liquid surface (like a boat) or floating submerged in a fluid (like a submarine in water ) the weight of the displaced liquid equals the weight of the object. Thus, only in the special case of floating does the buoyant force acting on an object equal the objects weight. Consider a 1-ton block of solid iron. As iron is nearly eight times as dense as water, it displaces only 1/8 ton of water when submerged, which is not enough to keep it afloat. Suppose the same iron block is reshaped into a bowl. It still weighs 1 ton, but when it is put in water, it displaces a greater volume of water than when it was a block. The deeper the iron bowl is immersed, the more water it displaces, and the greater the buoyant force acting on it. When the buoyant force equals 1 ton, it will sink no farther.

When any boat displaces a weight of water equal to its own weight, it floats. This is often called the "principle of flotation": A floating object displaces a weight of fluid equal to its own weight. Every ship, submarine, and dirigible must be designed to displace a weight of fluid at least equal to its own weight. A 10,000-ton ship's hull must be built wide enough, long enough and deep enough to displace 10,000 tons of water and still have some hull above the water to prevent it from sinking. It needs extra hull to fight waves that would otherwise fill it and, by increasing its mass, cause it to submerge. The same is true for vessels in air: a dirigible that weighs 100 tons needs to displace 100 tons of air. If it displaces more, it rises; if it displaces less, it falls. If the dirigible displaces exactly its weight, it hovers at a constant altitude.

While they are related to it, the principle of flotation and the concept that a submerged object displaces a volume of fluid equal to its own volume are *not* Archimedes' principle. Archimedes' principle, as stated above, equates the *buoyant force* to the weight of the fluid displaced.**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 ...