(a) Consider the non-lifting flow over a circular cylinder of a given radius withV[infinity]= 20 ft/s. IfV[infinity]is doubled, that is, V[infinity]= 40 ft/s, does the shape of the streamlines change? Explain.(b) Consider the lifting flow over a circular cylinder of a given radius with a given circulationΓ. IfV[infinity]is doubled, keeping the circulation the same, does the shape of the streamlineschange? Explain.

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)?