A fan that can provide air speeds up to 50 m/s is to be used in a low-speed wind tunnel with atmospheric air at 25°C. If one wishes to use the wind tunnel to study flat-plate boundary layer behavior up to Reynolds numbers of Rex = 10 8 , what is the minimum plate length that should be used? At what distance from the leading edge would transition occur if the critical Reynolds number were Rex,c = 5 x 105?