Question

A board that is 5 m long and 3 m wide is submerged in water. The board is at a 15-degree angle relative to the water surface. The center of the board is 10 m from the surface. Find the force due to hydrostatic pressure that the water exerts on the top surface of the board

Answer 1

Answer:

Explanation:

Let's ASSUME that the water is fresh with ρ = 1000 kg/m³

The surface area of the water directly above the board is 3(5cos15) = 14.49 m²

The average depth of the water is 10 m

The volume of water above the board is

14.49(10) = 144.9 m³

The mass of that water is

144.9 kg(1000 kg/m³) = 144900 kg

The Weight of that water is the hydrostatic force

144900(9.8) = 1,420,020 N = 1.4 MN