\(g^2_{net}=g^2_Tsin^2(\theta)+(g_Tcos(\theta)-g)^2\)
as polar plot, r = (A^2(sin(t))^2+(Acos(t)-10)^2)^(1/2), where g = 10, and A = 0.5, 5, 9, 12, 20, 30
where for values of A less than g, the curve is plotted in red. Looks like the zones of a candle flame.
Hot air raises because of \(g_T\). Hot air having less density so raises only if it is contained. Otherwise fast molecules just go anywhere.
Have a nice day.
