A50.0-kg stunt pilot who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane. (a) of the plane’s speed at the lowest point of the circle is 95.0 m> s, what is the minimum radius of the circle so that the acceleration at this point will not exceed 4.00g

230.2 m

Explanation:

The centripetal acceleration of the pilot at any point in the circle is given by

where

v is the speed

r is the radius of the circle

At the lowest point, the speed of the plane is

v = 95.0 m/s

We know that the maximum acceleration that the pilot can substain is

Therefore, substituting into the equation, we can find the minimum radius of the circle so that the acceleration does not exceed this value:

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