A simple highway curve is planned to connect two horizontal tangents that intersect at sta 2500 + 00.00 at an external angle of 52°. For a design speed of 60 mph and a curve radius of 1.25 times the minimum allowable radius, calculate the design rate of superelevation. (Hint - you will need to assume a maximum superelevation rate to get the minimum radius.)

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)?