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The direction of the force is downward (i.e., vertically downwards). The resultant force on the hemisphere is given by the product of the pressure difference and the area of the hemisphere.į = (1000 kg/m³ × 9.81 m/s² × (1.5/2 + 5)) × π(1.5)²/4 Where ρ is the density of water, g is the acceleration due to gravity, and h is the depth of water above the bottom of the hemisphere. Pressure at the bottom of the hemisphere, The force acting on the hemisphere is due to the pressure difference between the top and bottom of the hemisphere. The weight of the hemisphere and the water in the bulge is negligible compared to the weight of the water in the tank. The tank is filled with water completely. Magnitude and direction of the resultant force on the hemisphere. If the depth of water above the horizontal floor of the tank is 5.0 m, what is the magnitude and direction of the resultant force on the hemisphere?ĭiameter of hemispherical bulge, d = 1.5 mĭepth of water above the horizontal floor of the tank, h = 5.0 m. A hemispherical bulge of diameter 1.5 m is provided in the bottom of a tank.
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