(s)(si units) a hot upset-forging operation is performed in an open die. initial diameter of the cylindrical work part = 30 mm, and its height = 50 mm. the part is upset to an average diameter = 45 mm. the work metal at this elevated temperature yields at 90 mpa. coefficient of friction at the diework interface = 0.40. determine (a) the final height of the part and (b) the maximum force in the operation.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?