An aircraft is performing a coordinated turn maneuver at a bank angle of 30 degree and forward speed of 100 m/s. Assume g=9.81 m/s^2 . What is the load factor and turn radius respectively?
An aircraft is performing a coordinated turn maneuver at a bank angle of 30 degree and forward speed of 100\; m/s.Assume g=9.81 \;m/s^{2} . What is the load factor and turn radius respectively?
Load factor is given as \frac{L}{W}
For a coordinated turn manoeuvre W=Lcos\phi
Load factor = \frac{L}{W}=n=\frac{L}{Lcos\phi} \\\Rightarrow n=\frac{1}{cos\phi}=\frac{1}{cos30^{\circ}} \\=\frac{2}{\sqrt{3}}
Turn radius will be given as \frac{mV^{2}}{R}=Lsin\phi \\\Rightarrow Wtan\phi=\frac{mV^{2}}{R} \\\Rightarrow R=\frac{mV^{2}}{Wtan\phi}=\frac{mV^{2}}{mg\;tan\phi}
\\=\frac{100\times 100}{9.81\times tan\;30^{\circ}} \\=1.76\;km
