Airplane Pilot, dealing with Uniform Circular Motion

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SUMMARY

The discussion focuses on calculating the force exerted on a 78.4-kg airplane pilot by the airplane seat while maneuvering in uniform circular motion. The pilot is traveling at a constant speed of 162 km/h along a circular path with a radius of 321.0 m, experiencing an upward acceleration of 6.31 m/s². The net force acting on the pilot is determined to be 494.7 N, which is derived from the equation F_net = ma. The total force exerted on the pilot by the seat is calculated as the sum of the gravitational force and the force due to upward acceleration, expressed as F_total = m(a + g).

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of gravitational force calculation (mg)
  • Familiarity with concepts of uniform circular motion
  • Basic proficiency in physics equations and problem-solving
NEXT STEPS
  • Study the principles of uniform circular motion in detail
  • Learn how to calculate net forces in various motion scenarios
  • Explore the effects of acceleration on forces acting on objects
  • Review examples of forces in aviation contexts
USEFUL FOR

This discussion is beneficial for physics students, aviation enthusiasts, and anyone interested in understanding the dynamics of forces acting on pilots during flight maneuvers.

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Homework Statement


A 78.4-kg airplane pilot pulls out of a dive by following, at a constant speed of 162 km/h, the arc of a circle whose radius is 321.0 m. At the bottom of the circle, he is accelerating at 6.31 m/s upwards. What is the force exerted on the pilot by the airplane seat?


Homework Equations


Fnet = ma ...?


The Attempt at a Solution



I found the net force acting on him at the bottom of the circle, which is 494.7N...but I don't know how this relates to the force I'm looking for?
 
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Weight of the pilot acts on the seat in the downward direction. The seat reacts in the opposite direction. Hence net force exerted on the pilot by the air plane seat is...?
 
Since if the plane were sitting motionless, the pilot would feel his weight, mg, on the seat with this upward acceleration, he will feel and additional force ma.

The total will be ma+mg= m(a+ g).
 

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