Calculating Normal Force on Pilot in Air Show Loop

AI Thread Summary
To calculate the normal force on the pilot during a vertical loop, consider the forces acting on the pilot at both the top and bottom of the loop. At the top of the loop, the normal force is influenced by both the gravitational force and the centripetal force required for circular motion. At the bottom, the normal force must overcome gravity and provide the necessary centripetal force. A free body diagram can help visualize these forces and clarify which mass to use in calculations. Understanding these dynamics is crucial for solving the problem accurately.
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Homework Statement


A 9940 kg plane in an air show completes a vertical loop of radius 596 meters at 155 m/s. What normal force does the airplane seat exert on the 92 kg pilot at the top of the loop and at the bottom of the loop.

Homework Equations



Top of loop
m(v^2/r)= Fnormal + mg
m(v^2/r)= Fnormal - mg


The Attempt at a Solution


should i use the mass of the pilot and the plane for this problem iam really stuck.
 
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Hi myoplex11,

myoplex11 said:

Homework Statement


A 9940 kg plane in an air show completes a vertical loop of radius 596 meters at 155 m/s. What normal force does the airplane seat exert on the 92 kg pilot at the top of the loop and at the bottom of the loop.

Homework Equations



Top of loop
m(v^2/r)= Fnormal + mg
m(v^2/r)= Fnormal - mg


The Attempt at a Solution


should i use the mass of the pilot and the plane for this problem iam really stuck.

It's asking about forces acting on the pilot, so begin with a free body diagram for the pilot. What mass would you use? What forces act on the pilot, and what is the pilot's acceleration?
 

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