What Is the Minimum Radius for Safe Flight at 100 m/s?

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Homework Help Overview

The problem involves an airplane flying in a horizontal circle at a speed of 100 m/s, with a focus on determining the minimum radius of the circular path based on the centripetal acceleration constraints for the pilot.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the radius using centripetal acceleration and time, but expresses uncertainty about their mathematical approach after arriving at an incorrect radius.

Discussion Status

Some participants provide guidance on adjusting the variables used in the calculations, indicating a potential direction for the original poster to reconsider their approach. There is a lack of explicit consensus on the correct radius, but the discussion is progressing with suggestions for refinement.

Contextual Notes

The original poster is working under specific constraints regarding centripetal acceleration and has indicated that their previous calculations may have been flawed. The discussion reflects an ongoing exploration of these constraints.

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Homework Statement


An airplane is flying in a horizontal circle at a speed of 100 m/s. The 88.0 kg pilot does not want his centripetal acceleration to exceed 7.00 times free-fall acceleration.
a) What is the minimum radius of the circular path?

Homework Equations


v=eπr/t

a=v2/t

The Attempt at a Solution



So i figured out the time using the acceleration equation which was 68.67=100squred/t and for t i got 145.6 s. Then i used that time to solve for radius and got 2318 m which was wrong. The only thing i could think of that i did wrong was something mathematical. Help Please!:)
 
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Change the t to an r like we talked about in your other thread and you should be OK.
 
so ..145.6 m ?
 
Looks good to me.
 
Thanks!
 

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