Rod stock that has an initial diameter of 0.50 in is drawn through a draw die with an entrance angle of 13°. The final diameter of the rod is = 0.375 in. The metal has a strength coefficient of 40,000 lb/in2 and a strain hardening exponent of 0.20. Coefficient of friction at the work-die interface = 0.1. Determine
(a) area reduction,
(b) draw force for the operation, and
(c) horsepower to perform the operation if the exit velocity of the stock = 2 ft/sec.