Answer :
To determine the total pressure and center of pressure on a circular plate submerged vertically in water, we can use the principles of fluid mechanics. Given: Diameter of the circular plate (D) = 3700 mm
Vertical distance from the upper edge of the plate to the free surface of water (h) = 280 cm = 2.8 m
d = 4.65 m Next, let's calculate the total pressure acting on the circular plate: Total Pressure (P_total) = ρ * g * A * d where ρ is the density of water, g is the acceleration due to gravity, A is the area of the circular plate, and d is the depth of the plate. The density of water (ρ) is approximately 1000 kg/m³, and the acceleration due to gravity (g) is approximately 9.8 m/s². The area of the circular plate (A) can be calculated using the formula: To determine the center of pressure on the circular plate, it is assumed to act at the centroid of the submerged area, which is the same as the centroid of the circular plate. The center of pressure coincides with the centroid because the pressure distribution on a vertical submerged plate is uniform.
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