Acylindrical rod of copper originally 16.0 mm id diameter is to be cold worked by drawing; the circular cross section will be maintained during deformation. a cold-worked yield strength in excess of 250 mpa and a ductility of at least 12%el are desired. furthermore, the final diameter must be 11.3 mm. using the graphs below, explain how this can be accomplished.

Steel balls 12 mm in diameter are annealed by heating to 1150 k and then slowly cooled to 400 k in an air att 325 k and h -20 w/m2 k. assume the properties of the steel to be k- 40 w/m k,p 7800 kg/m3, and cp 600 j/kg k. a. determine whether lumped system method can be used to analyze this problem and if so why" b. determine the time required for the cooling process. c. determine the total amount of heat lost from each ball to the ambient air