The radius R of the turn is 1.984 km.
Explanation:
As the falcon is experiencing a centripetal motion, the acceleration exhibited by the falcon will be centripetal acceleration. The formula for centripetal acceleration is
[tex]a=\frac{v^{2} }{R}[/tex]
Here a is the acceleration for centripetal motion, v is the velocity and R is the radius of the circular path.
As the centripetal acceleration is given as 0.6 g, the velocity is given as 108 m/s, then the radius of the path can be determined as
[tex]0.6 \times 9.8=\frac{(108)^{2}}{R}[/tex]
[tex]R=\frac{(108)^{2}}{0.6 \times 9.8}=\frac{11664}{5.88}=1983.67\ \mathrm{m}[/tex]
So, the radius of the turn is 1.984 km.
