What is the Archimedean force acting on a 1 cm3 piece of iron in a glass of water?

These tasks: V (volume of the considered piece of iron) = 1 cm3 (in the SI system V = 1 * 10-6 m3).

Reference values: g (acceleration due to gravity) ≈ 9.8 m / s2; ρw (density of water in a glass) = 1000 kg / m3.

The required Archimedean force acting on the considered piece of iron is calculated by the formula: Fa = ρw * g * V.

Let’s calculate: Fa = 1000 * 9.8 * 1 * 10-6 = 0.0098 N = 9.8 mN.

Answer: An Archimedean force of 9.8 mN acts on the piece of iron under consideration.