An airplane of weight W and wing area S flies level at speed V while executing a turn of constant radius R. The wing can pull a maximum lift coefficient CLmax before stall. Derive the formula for the turn radius versus flight speed at this maximum lift coefficient. This radius represents the tightest turn the airplane can make at the given flight speed. Plot 1/R versus V for the airplane in Problem 2A. When 1/R = 0 do you get the correct limit of level flight stall speed? Hint: In a steady turn the lift must equal the resultant of the weight vector and the centrifugal force vector.

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)?