Acyclist is pedaling at 15 mph when a sudden 20-mph headwind comes up. assume a frontal area of 3.9 ft and a drag coefficient of 0.88. neglect rolling resistance. (p0.00238 slug/ft3) (a) draw a freebody diagram of the cyclist (b) calculate the pedaling force to maintain speed (c) calculate the power required

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)?