Chapter 05, Problem 42 pilots are subjected to forces that can be much greater t

Question

Chapter 05, Problem 42 pilots are subjected to forces that can be much greater than be subjected to large centripetal accelerations during high-speed turns. Because of these accelerations, the pil Pilots of high-performance fighter planes can their body weight, leading to an accumulation of blood in the abdomen and legs help keep the blood from draining out of the brain. To appreciate the forces that a fighter pilot must endure, consider the magnit The plane is traveling at 230 m/s on a vertical circle of radius 646 m. Determine the ratio As a result, the brain becomes starved for blood, and the pilot can lose consciousness ("black out"). The pilots wear "anti-G ottom of a dive of the normal force that the pilot's seat exerts on him at the b ack-out can occur for ratlos as smali of the normal force to the magnitude of the pilot's weight. For comparison, note that b as 2 if the pilot is not wearing an anti-G suit. Number Units

Explanation / Answer

FC = FN - W

FN = FC + W

FN = [ m v2/ r ] + mg

FN / W =   m (v2/ r + g) / m g

= (v2 / r + g) / g

= ( (2302/646) + 9.8 ) / 9.8

FN / W = 9.35

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