Calculate the Resultant Force on a Steel Cylinder Submerged in Water

To determine the resultant force acting on the steel cylinder immersed in water, we need to consider the buoyant force and the weight of the cylinder.

The buoyant force experienced by the cylinder can be calculated using Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

The volume of the cylinder can be calculated using its dimensions:

Volume = π * radius^2 * length = π * (0.03 m)^2 * 0.06 m = 5.4 x 10^-5 m^3

The weight of the displaced water can be calculated using its density:

Weight of displaced water = Volume * Density of water = 5.4 x 10^-5 m^3 * 1000 kg/m^3 = 0.054 kg

The weight of the steel cylinder can be calculated using its dimensions and density:

Weight of steel cylinder = Volume * Density of steel = 5.4 x 10^-5 m^3 * 8000 kg/m^3 = 0.432 kg

The resultant force acting on the steel cylinder can be calculated as the difference between the buoyant force and the weight of the cylinder:

Resultant force = Buoyant force - Weight of cylinder = Weight of displaced water - Weight of cylinder = 0.054 kg - 0.432 kg = -0.378 kg

The resultant force acting on the steel cylinder is approximately -0.38 kg (to two significant figures, without a unit). The negative sign indicates that the resultant force is directed upward, opposing the weight of the cylinder.