Calculate pressure in steps of 1 cm in a die of square cross-section for double-action compaction of powders under an applied pressure of 50 MPa. Assume cross-section to be 10 mm x 10 mm and the total length of the compact to be 5 cm. The radial-to-axial pressure ratio is 0.4, and the coefficient of friction is 0.2.

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)?