Chapter 8.5, Problem 25E

A tank shown below has vertical ends in the shape of isosceles triangles. Its dimensions are given as L = 9 m, w = 2.3 m, h = 1.9 m. The tank is filled with a fluid of density 867 kg/m³ to a depth of c = 1 m. Assume that the acceleration due to gravity is g = 9.81 m/s² h Find the force exerted on one of the triangular ends by the fluid. Round your answer to at least 3 sig figs. Force Number N W

A sealed barrel of oil (weighing 48 pounds per cubic foot) is floating in seawater (weighing 64 pounds per cubic foot), as shown. (The barrel is not completely full of oil. With the barrel lying on its side, the top 0.2 foot of the barrel is empty.) Compare the fluid forces against one end of the barrel from the inside and from the outside. (Assume the radius of the barrel is 1 foot and, with the barrel lying on its side, the top 0.6 foot of the barrel is above the water.)

Consider a flat metal plate to be placed vertically underwater with its top 2m below the surface of the water. Determine a shape for the plate so that if the plate is divided into any number of horizontal strips of equal height, the hydrostatic force on each strip is the same.