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When a fighter pilot makes a very quick turn, he experiences a centripetal acceleration. When this acceleration is greater than about 5.5 × g the pilot will usually lose consciousness ("black out"). Consider a pilot flying at a speed of 890 m/s who wants to make a very sharp turn. What is the minimum radius of curvature that he can take without blacking out?

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Answer:

16.495 m

Explanation:

a = Centripetal acceleration = 5.5 g

r = Radius of turn

v = Velocity of fighter jet = 890 m/s

g = Acceleration due to gravity = 9.81 m/s²

The direction of the velocity vector keeps constantly changing in centripetal acceleration

[tex]a=\frac{v^2}{r}\\\Rightarrow r=\frac{v^2}{a}\\\Rightarrow r=\frac{890}{5.5\times 9.81}\\\Rightarrow r=16.495\ m[/tex]

The minimum radius of curvature that he can take without blacking out is 16.495 m

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