Vertical circle, miminum radius

AI Thread Summary
To determine the maximum radius of a vertical circle for a fighter pilot diving at 2170 km/hr while ensuring her apparent weight does not exceed six times her actual weight, one must apply the concepts of centripetal acceleration and apparent weight. The formula for apparent weight combines gravitational force and centripetal acceleration, expressed as apparent weight = mg + ma. By substituting the centripetal acceleration formula, a_c = V^2/r, into the apparent weight equation, it can be set equal to six times the pilot's weight. Solving these equations will yield the maximum radius of the vertical circle. This approach effectively combines dynamics and circular motion principles to find the desired radius.
sunnyorange
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This is my question
A fighter pilot dives her fighter plane toward the ground at maximum supersonic speed of 2170 km/hr. She pulls out of the dive on a vertical circle. What is the maximum radius of the circle, so that her apparent weight is never more than six times her weight?

I have no idea how to approach this. However, I know apparent weight= mg+ma, and a_c= V^2/r

Help needed!:eek:
 
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well solve your second eq for a then sub it into your first and have it equal to 6*w
 
mathmike said:
well solve your second eq for a then sub it into your first and have it equal to 6*w

How do I find the centripetal acceleration? radius?
 

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