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.

Explanation / Answer

here,

the maximum centripital accelration , a = 2.5 g

speed of the plane , v = 450 km/h

v = 125 m/s

let the minimum radius of the curve be r

v^2/r = 2.5 * g

125^2 /r = 2.5 *9.8

r= 637.76 m

the minimum radius of the downward curve is 637.76 m

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