Chp. 6 #19 Stunt pilots and fighter pilots who fly at high speeds in a downward-

Question

Chp. 6 #19 Stunt pilots and fighter pilots who fly at high speeds in a downward-curving arc may experience a “red out,” in which blood is forced upward into the flier’s head, potentially swelling or breaking capillaries in the eyes and leading to a reddening of vision and even loss of consciousness. This effect can occur when the non-gravitational part of the centripetal acceleration exceeds 2.5g’s. For a stunt plane flying at a speed of 450 km/h , what is the minimum radius of downward curve a pilot can achieve without experiencing a red out at the top of the arc? (Hint: Remember that gravity provides part of the centripetal acceleration at the top of the arc; it’s the acceleration required in excess of gravity that causes this problem.) Express your answer to two significant figures and include the appropriate units. INCORRECT ANSWERS INCLUDE: 6.4X10^2 m and 640m

Explanation / Answer

the non gravitational part of the acceleration is the centrip accel = v^2/r

and this cannot exceed 2.5 x 9.8m/s/s = 24.5m/s/s

v = 450km/h = 125m/s, so we have

24.5m/s/s = (125m/s)^2 / r

r = (125m/s)^2/24.5 m/s/s = 640m

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