Afighter pilot dives his plane toward the ground at 230
m/s. he pulls out of the dive on a vertical circle. what is the
minimunradius of the circle, so that the normal force exerted on
the pilotby his seat never exceeds three times his weight?

r >= 1799.3 m

or 1799.3 m minimum.

Explanation:

As the pilot cannot pull more than 3 g's, the centripetal acceleration must be less than or equal to three times the force of gravity which is

3×9.8 m/s² =29.4 m/s².

Acceleration (Centripetal acceleration) is the tangential speed squared divided by the radius of the circle or V^2/r. So we have

Centripetal acceleration=V²/r

230²/r=3×9.8

52900/r=29.4

52900=29.4r

52900/29.4=r

Now

1799.3<=r

r >= 1799.3 m

or 1799.3 m minimum.

1 - wave length

2 - amplitude

3 - crest

4 - trough

explanation:

duh.