Medical testing has established that the maximum acceleration a pilot can be sub

Question

Medical testing has established that the maximum acceleration a pilot can be subjected to without losing consciousness is approximately 6.0 g if the axis of acceleration is aligned with the spine. (See Ex. 5.4.) A pilot can avoid "blackout" at accelerations up to approximately 9.0 g by wearing special "g-suits" that help keep blood pressure in the brain at a sufficient level, Assuming this to be the case, what is the minimum safe radius of curvature for an unprotected pilot flying an F-15 in a horizontal circular loop at 710 km/h? What does this radius become if the pilot is wearing a g-suit? R_ unprotected = E_ g-suit =

Explanation / Answer

(A) centripetal accelearation = v^2 / R

v = 710 km/h = 197.2 m/s

6 x 9.8 = 197.2^2 / R

R =661.50 m

(B) now a_C = 9g

9 x 9.8 = 197.2^2 / r

r = 441 m

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