1.The velocity of propagation, c of surface waves is assumed to depend on the water depth, y, the water density, ?, and the acceleration due to gravity, g. Express these variables as a dimensionless group.
2.An ogee spillway of a gravity dam is to be modeled using water. The spillway section is 40 feet high, its crest length is 60 feet and the maximum discharge is 3,000 CFS when the head on the crest of the spillway is 5 feet. Using a model scale of 1:10, calculate the height of the model.
3.Iron and vanadium both have the BCC crystal structure, and V forms a substitutional solid structure in Fe for concentrations up to approximately 20 wt% V at room temperature. Determine the concentration in weight percent of V that must be added to iron to yield a unit cell edge length of 0.289nm