Cylindrical pylons are used to define an entrance to a new hotel. inside the tubular pylons are lights to illuminate the hotel entrance at night. the designer needs to consider taxis, automobiles, and delivery trucks hitting these pylons. the outer diameter d of the pylons is 10 in and the wall thickness t 0.25 in determine the maximum stress in the pylon if a "vehicle" hits a pylon at 18 in above ground. what is the maximum g-force on the chauffeur of the vehicle?

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)?