Problem 2 (a): A mold has a down sprue of length = 6.0 in. The cross-sectional area at the bottom of the sprue is 0.5 in. The sprue leads into

a horizontal runner that feeds the mold cavity, whose volume = 75 in. Determine (a) the velocity of the molten metal flowing through the base of the down sprue, (b) the volume rate of flow and (c) the time required to fill the mold cavity. Problem 2(b): The total solidification times of two casting shapes are to be compared: (1) a sphere with diameter = 1.0 in., (2) a cylinder with diameter and length both= 1.0 in. The same casting alloy is used both cases. (a) determine the relative solidification times for each geometry, (b) Based on the results of part (a), which geometric element would make the best riser? (c) If Cm = 18.0 min/in in Chvorinov's rule, compute the total solidification time for each casting. Use n=2.