Answer:
The radius is [tex]r =1705.44 \ m[/tex]
Explanation:
From the question we are told that
The speed is [tex]v = 1140 \ km /h = \frac{1140 * 1000}{3600} = 316.67 \ m/s[/tex]
The centripetal acceleration is [tex]a = 6 g's = 6 * 9.8 = 58.8 \ m/s^2[/tex]
Generally the centripetal force acting on the jet is mathematically represented as
[tex]F_c = \frac{m * v^2 }{r}[/tex]
Generally this centripetal force is equal to the net force acting which according to Newton's third law is mathematically represented as
[tex]F = m * a[/tex]
So
[tex]\frac{m * v^2 }{r} = ma[/tex]
=> [tex]\frac{ v^2 }{r} = a[/tex]
=> [tex]r = \frac{v^2}{a}[/tex]
=> [tex]r = \frac{316.67^2}{58.8}[/tex]
=> [tex]r =1705.44 \ m[/tex]
