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How taking a bath led to Archimedes' principle - Mark Salata

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The forces at work in buoyancy. The object floats at rest because the upward force of buoyancy is equal to the downward force of gravity.

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In general, the buoyancy force on a completely submerged object is given by the formula above; where V is the volume of the object, ρ is the density of the fluid, and g is gravitational acceleration.

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Archimedes pondered for a long time but couldn't come up with a way to prove that the crown was not solid gold. Soon after, he filled a bathtub and saw that when he climbed in, water flowed over the edge, and he recognized that the water displaced by his body was equivalent to his body weight.

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Buoyancy is defined as the ability of something to float in water or air. When a boat floats in water, this is an example of buoyancy.

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Archimedes is remembered for running naked through the streets of Syracuse, shouting "Eureka!" — which means "I have it!" in Greek.

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Archimedes' principle, or the physical law of buoyancy, states that any body wholly 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.