Calculating Loop Radius for Force of 5x Pilot Weight on Plane

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Homework Help Overview

The problem involves a plane flying at a speed of 720 kilometers per hour and the calculation of the radius of a vertical loop such that the maximum force experienced by the pilot is five times her weight. Participants are exploring the dynamics of forces acting on the pilot during the loop, particularly focusing on the relationship between centripetal force and gravitational force.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the conditions at the top and bottom of the loop, questioning the assumptions about normal force and gravitational force. Some suggest using free-body diagrams to analyze forces, while others explore the implications of the maximum normal force being five times the pilot's weight.

Discussion Status

The discussion is ongoing, with various interpretations of the problem being explored. Some participants have provided insights into the forces acting on the pilot, while others are seeking clarification on the relationship between normal force and centripetal force. There is no explicit consensus yet, but productive questions and considerations are being raised.

Contextual Notes

Participants note that the problem may not be worded clearly and express uncertainty about the orientation of the loop and the conditions under which the forces are applied. There is also a discussion about the implications of the maximum normal force on the geometry of the loop.

  • #31
Oops. there is an identical question to this, forgot different Velocity. so we would substitute 200ms into it instead of (800/3.6) so we'd end up getting.. ~1020m :)
 
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  • #32
Sirsh said:
Oops. there is an identical question to this, forgot different Velocity. so we would substitute 200ms into it instead of (800/3.6) so we'd end up getting.. ~1020m :)
Now you've got it! :smile: I'll leave it up you as an academic exercise if you what to assume something to see what may be happening at the top of the loop. Note that in more typical loop the loop problems, like yoyos in a vertcal circle , or loop the loop roller coasters , the speed is far from constant, so don't take this problem as a typical example of vertcal circular motion problems.:bugeye:
 

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