Question

Pilots of high-performance fighter planes can be subjected to large centripetal accelerations during high-speed turns. Because of these accelerations, the pilots are subjected to forces that can be much greater than their body weight, leading to an accumulation of blood in the abdomen and legs. As a result, the brain becomes starved for blood, and the pilot can lose consciousness ("black out"). The pilots wear "anti-G suits" to help keep the blood from draining out of the brain. To appreciate the forces that a fighter pilot must endure, consider the magnitude $F_{\mathrm{N}}$ of the normal force that the pilot's seat exerts on him at the bottom of a dive. The magnitude of the pilot's weight is $W$. The plane is traveling at $230 \mathrm{~m} / \mathrm{s}$ on a vertical circle of radius $690 \mathrm{~m}$. Determine the ratio $F_{\mathrm{N}} / W$. For comparison, note that black-out can occur for values of $F_{\mathrm{N}} / W$ as small as 2 if the pilot is not wearing an anti-G suit.

          Pilots of high-performance fighter planes can be subjected to large centripetal
accelerations during high-speed turns. Because of these accelerations, the pilots are subjected to forces that can be much greater than their body weight, leading to an accumulation of blood in the abdomen and legs. As a result, the brain becomes starved for blood, and the pilot can lose consciousness ("black out"). The pilots wear "anti-G suits" to help keep the blood from draining out of the brain. To appreciate the forces that a fighter pilot must endure, consider the magnitude $F_{\mathrm{N}}$ of the normal force that the
pilot's seat exerts on him at the bottom of a dive. The magnitude of the pilot's weight is $W$. The plane is traveling at $230 \mathrm{~m} / \mathrm{s}$ on a vertical circle of radius $690 \mathrm{~m}$. Determine the ratio $F_{\mathrm{N}} / W$. For comparison, note that black-out can occur for values of $F_{\mathrm{N}} / W$ as small as
2 if the pilot is not wearing an anti-G suit.

Added by Renee C.

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