Acylindrical part is warm upset forged in an open die. the starting work piece is 50 mm in diameter, and 40 mm in hieght. the final height=20mm. coefficent of friction at the die-work interface =0.2. the work material has a flow curve defined by k=600 mpa, and n=0.12. determine the force in the operation at process begins, at intermediate height of 30 mm, and at the final height of 20 mm.

Aheat pump using refrigerant-134a heats a house by using underground water at 8°c as the heat source. the house is losing heat at a rate of 60,000 kj/h. the refrigerant enters the compressor at 280 kpa and 0°c, and it leaves at 1 mpa and 60°c. the refrigerant exits the condenser at 30°c. determine: (a) the power input to the heat pump, (b) the rate of heat absorption from the water, and (c) the increase in electric power input if an electric resistance heater is used instead of a heat pump