What is the maximum hydrostatic force a dam would need to withstand if it has the shape of a semicircle with a height (radius) of 20 feet? [The density of water is 62.4 lbs/ft³.]

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Quizplus · Accepted Answer

The hydrostatic force on a dam is given by the formula F = (1/2)ρgh^2, where ρ is the density of the water, g is the acceleration due to gravity, and h is the height of the water. In this case, the height of the water is 20 feet, the density of the water is 62.4 lbs/ft^3, and the acceleration due to gravity is 32.2 ft/s^2. Plugging these values into the formula, we get F = (1/2)(62.4 lbs/ft^3)(32.2 ft/s^2)(20 ft)^2 = 332,800 lbs.

What Is the Maximum Hydrostatic Force a Dam Would Need