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belka [17]
2 years ago
15

Pilots of high-performance fighter planes can be subjected to large centripetal accelerations during high-speed turns. Because o

f 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 of the normal force that the pilot's seat exerts on him at the bottom of a dive. The plane is traveling at 216 m/s on a vertical circle of radius 723 m. Determine the ratio of the normal force to the magnitude of the pilot's weight. For comparison, note that black-out can occur for ratios as small as 2 if the pilot is not wearing an anti-G suit.
Physics
1 answer:
nika2105 [10]2 years ago
6 0

Answer:

Ratio is 7.58

Explanation:

At the bottom of the circle, the net force is given by

F_{n}=mv^{2}+mg where m is mass of plane, v is the speed of plane, r is vertical circle radius

F_{n}=m(v^{2}+g)

Since W=mg, dividing left side by W and right side by mg we obtain

\frac {F_{n}}{W}= \frac {m(v^{2}+g)}{mg}

\frac {F_{n}}{W}=g(g+\frac {v^{2}}{r})

\frac {F_{n}}{W}=9.81(9.81+\frac {216^{2}}{723})=7.578096

\frac {F_{n}}{W}=7.58

Considering that \frac {F_{n}}{W}=7.58 which is greater than 2, the pilot is advised to wear the anti-G suit

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