What is the minimum radius for safe circular flight?

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Homework Help Overview

The problem involves an airplane flying in a horizontal circle at a specified speed, with a focus on determining the minimum radius of the circular path while considering the radial acceleration experienced by the pilot.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between speed, radial acceleration, and radius, with some suggesting the use of the equation v^2/r. There are questions about the relevance of the pilot's mass and whether it affects the radial acceleration. Some participants express confusion about the role of gravity in this horizontal circular motion.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some have offered guidance on the equations to use, while others are questioning the assumptions regarding mass and its impact on radial acceleration. There is no explicit consensus yet, but productive dialogue is occurring.

Contextual Notes

Participants note potential misunderstandings regarding the effects of gravity and the significance of the pilot's mass in the context of the problem. There is an acknowledgment of confusion surrounding the application of concepts related to circular motion.

DJB1991
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Homework Statement



An airplane is flying in a horizontal circle at a speed of 141 m/s. The 94.2 kg pilot does not want his radial acceleration to exceed 8.88g

What is the minimum radius of the circular path?


Homework Equations


v^2/r

The Attempt at a Solution


141^2/.00888 kg
 
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try using v^2/r<=8.88g
 
i don't think u have to take gravity cause its perpendicular to radial acceleration and it really has no effect (its a horizontal circle)
 
yeah i realized that as soon as i wrote it. i was thinking centripetal acceleration and vertical circle, don't know where i got that from
 
i don't know why they gave the pilots mass, it won't affect radial acceleration will it?
 
with your attempt why do you have 0.00888kg? a_C =v^2/r r=141^2/9.81*8.888? = 228
 
pat666 said:
i don't know why they gave the pilots mass, it won't affect radial acceleration will it?
how does a helicopter lift-off?
 
evidently it will but are the pilot and the plane one entity? or are they considered as two separate masses. sorry I am asking more questions than djb991 i just covered this topic and don't understand it too well.
 
pat666 said:
evidently it will but are the pilot and the plane one entity? or are they considered as two separate masses. sorry I am asking more questions than djb991 i just covered this topic and don't understand it too well.
sorry, completely misread about half of that problem. then yes, the mass of the pilot seems pretty insignificant considering the mass of the airplane.
 
  • #10
pat666 said:
with your attempt why do you have 0.00888kg? a_C =v^2/r r=141^2/9.81*8.888? = 228

is there anything you can see wrong with what I've done here? except the a_c should be a_r and there should be brackets around the bottom half.
 
  • #11
pilot n airplane r considered as one entity
pilots mass or even the whole system mass won't affect its radial acceleration as its moving in a horizontal circle
141*141/r=8.88*9.8
 
  • #12
yep that's exactly what I thought and said
 

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