Find Minimum Radius for Safe Vertical Looping | Jet Pilot in 1400 km/h Loop

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Homework Help Overview

The problem involves a jet pilot performing a vertical loop at a speed of 1400 km/h, with a focus on determining the minimum radius of the loop such that the centripetal acceleration does not exceed 6.0 g's. The subject area pertains to dynamics and centripetal motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the equation for centripetal force but expresses confusion regarding the mass of the jet. Some participants clarify the relationship between centripetal acceleration and radius, suggesting that the problem can be approached by focusing on the acceleration rather than summing forces.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the use of centripetal acceleration, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants are navigating the constraints of the problem, including the lack of mass information and the specific requirement for centripetal acceleration limits.

justinbaker
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A jet pilot takes his aircraft in a vertical loop

(a) If the jet is moving at a speed of 1400 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g's.


I am having some trouble here. I converted the speed to be 389 m/s. I thought i would use the equation F=m(v^2/r) Then F would equal the normal force minus mg. But this does not seem to work out since we do not know the mass. I am a little confused. So any help would be great. Thanks
 
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F = ma.. Fcent = m*Acent
 
vsage said:
F = ma.. Fcent = m*Acent

i don't understand what you are saying
 
I'm saying the question is asking for centripetal acceleration which is given by v^2/r. You don't need to sum the forces just the accelerations.
 

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