10TH GRADE · HYDROSTATICS
Density and strength of Archimedes
Density of matter, buoyant force and floating of bodies.
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Basic Concepts
Archimedes' Law
A force acting upward on a submerged body is equal to the weight of the displaced liquid or gas.
Ejection occurs due to the difference in pressure from below and above and depends on the density of the medium and the volume of the immersed part.
Sailing condition
A body floating without acceleration is in equilibrium under the influence of gravity and the Archimedes force.
For a floating body, the Archimedes force is equal to the force of gravity. The fraction of the immersed volume is determined by the ratio of the densities of the body and the medium.
Physical quantities
Density
Mass of a substance per unit volume.
Unit: kilogram per cubic meter ·
Archimedes' force
The buoyant force of a liquid or gas.
Unit: newton ·
Lesson formulas
Archimedes' force
The Archimedes force is equal to the weight of the displaced medium.
Body floating condition
When swimming without acceleration, Archimedes' force is equal to the force of gravity.
Mass through density and volume
Mass equals density times volume.
Determination of density
Density is equal to mass divided by volume.
Gram per cubic centimeter
One gram per cubic centimeter is equal to a thousand kilograms per cubic meter.
Related formulas
The same formulas in the reference, with symbols and units.