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It means he is in a curve, in which centripital action is causing an acceleration (a) equal to 6 times earths gravitational pull ( 6 * 9.82 = 58.92 (m/s)/s)

the equation in use here would be:

acceleration = velocity squared / (turn) radius

a = v^2 / r

to achieve a 6 g turn at say 500 m / s, the radius would have to be v^2 / 58.92

= 250 000 / 58.92 = 4 243 metres turn radius

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