$3.$ Suppose the data points below were collected in a dynamic wind tunnel test of a scale aircraft model. The tests were conducted in sea level standard conditions. The plot shows the measured moment versus roll rate at three different tunnel speeds for a scale model with wing area of $\backslash (0\mathrm{.}5\backslash$mathrm$\{$sq$\}.\backslash$mathrm$\{$ft$\}\backslash ).$ and wingspan of $2$ ft $.$ Based on these data, assuming similarity between the scale model and full$-$scale aircraft, estimate the dimensional roll damping derivative, $\backslash ($ L$\_\{$p$\}\backslash ),$ for the full$-$scale aircraft when operating at $200$ knots and $\backslash (10,000\backslash$mathrm$\{$ft$\}\backslash )$ altitude. The full$-$scale aircraft has a wing area of $200$ sq $.$ ft $.$ and wingspan of $40$ ft $.$ Hint: Use the data to estimate the non$-$dimensional roll damping, $\backslash ($ C$\_\{$l$\_\{$p$\}\}\backslash ),$ then scale to the full$-$size aircraft at the given flight conditions.