Find the Archimedean force that will act on a 1m x 0.5m x 0.1m marble slab completely
Find the Archimedean force that will act on a 1m x 0.5m x 0.1m marble slab completely submerged in water with a density of 1000 kg / m3.
A buoyant force equal to the weight of the displaced fluid acts on a body immersed in a liquid, and is called the Archimedes force:
Fa = ρ * g * V, where ρ is the density of the liquid, g is the acceleration of gravity of a body raised above the Earth g = 9.8 m / s², V is the volume of the body.
Let’s write a formula to determine the volume of a body as a parallelepiped:
V = a * b * h
With this in mind, the formula for determining the buoyancy force takes the form:
Fa = ρ * g * V = ρ * g * a * b * h
Substitute the numerical values into the formula for determining the buoyancy force:
Fa = ρ * g * a * b * h = 1000 * 9.8 * 1 * 0.5 * 0.1 = 490 N.
Answer: the buoyancy force is 490 N.