A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of

Question

A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 1.60 km.

(a) What is its centripetal acceleration in gs?

(b) Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 630 m/s (supersonic). What is the radius of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)

Explanation / Answer

centripetal acceleration = V2/r

= 56.25 m/s2

= 5.74 gs

radius = V2/a

= 6302/10*9.8

= 4.05 km

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