Pilots of high-performance fighter planes can be subjected to largecentripetal accelerations during high-speed turns. Because of theseaccelerations, the pilots are subjected to forces that can be muchgreater than their body weight, leading to an accumulation of bloodin the abdomen and legs. As a result, the brain becomes starved forblood, and the pilot can lose consciousness ("black out"). Thepilots wear "anti-G suits" to help keep the blood from draining outof the brain. To appreciate the forces that a fighter pilot mustendure, consider the magnitude of the normal force that the pilot'sseat exerts on him at the bottom of a dive. The plane is travelingat 265 m/s on a vertical circle of radius 633 m. Determine theratio of the normal force to the magnitude of the pilot's weight.For comparison, note that black-out can occur for ratios as smallas 2 if the pilot is not wearing an anti-G suit.
Pilots of high-performance fighter planes can be subjected to largecentripetal accelerations during high-speed turns. Because of theseaccelerations, the pilots are subjected to forces that can be muchgreater than their body weight, leading to an accumulation of bloodin the abdomen and legs. As a result, the brain becomes starved forblood, and the pilot can lose consciousness ("black out"). Thepilots wear "anti-G suits" to help keep the blood from draining outof the brain. To appreciate the forces that a fighter pilot mustendure, consider the magnitude of the normal force that the pilot'sseat exerts on him at the bottom of a dive. The plane is travelingat 265 m/s on a vertical circle of radius 633 m. Determine theratio of the normal force to the magnitude of the pilot's weight.For comparison, note that black-out can occur for ratios as smallas 2 if the pilot is not wearing an anti-G suit.