Determine the Archimedean force acting on a cork lifebuoy with a volume of 30 dm3 in a cube

Determine the Archimedean force acting on a cork lifebuoy with a volume of 30 dm3 in a cube if it is submerged by one third of the water. According to the formula-Fa = pgv

Given: V (full volume of the cork circle) = 30 dm3 (0.03 m3); V1 (the part of the life buoy submerged in water) = V / 3.

Reference values: ρ (density of water into which the lifebuoy is lowered) = 1000 kg / m3; g (acceleration due to gravity) = 9.81 m / s2 ≈ 10 m / s2.

The force of Archimedes is determined by the given formula: Fа = ρ * g * V1 = ρ * g * V / 3.

Calculation: Fa = 1000 * 10 * 0.03 / 3 = 100 N.

Answer: Archimedean force is 100 N.