Determine the horizontal and vertical components of the liquid pressure acting on the semicylindrical gate ABC, as shown in the figure. The width into the paper is 1 m. Liquid (1g = 0.88) 4 m 3.2 m 1 m to

An open cylindrical container of radius R with a thin liquid layer of density p at the bottom, is rotating at a constant angular velocity w. As a result of the rotation, the liquid is displaced clearing a circular area at the bottom of the container or radius R/2. Determine the height of the liquid, H, on the cylindrical wall. R/2

A hot air filled balloon of 8m diameter is used to support a platform. The surrounding airis at 20° C and 1 bar while the hot air inside the balloon is at a temperature of 70° C.Determine the buoyant force and the weight that may be supported by the balloon.

A semicircular, hinged gate separates two fluids on either side of a partition. Part (a) of the figure shows the geometry of the gate, and part (b) of the figure shows the whole system in side view. The radius of the gate (4 m) is equal to the height of the fluid on the right side of the gate (fluid 2), and the specific weight ratio of the fluids is γ2/γ1 = 1.5. At what height, h, will thegate just start to open?