Airplane Pilot, dealing with Uniform Circular Motion

AI Thread Summary
The problem involves calculating the force exerted on a pilot by the airplane seat while he is in uniform circular motion. The pilot, weighing 78.4 kg and traveling at 162 km/h, experiences an upward acceleration of 6.31 m/s² at the bottom of the circular path with a radius of 321 m. The net force acting on the pilot is determined to be 494.7 N. To find the force exerted by the seat, the equation combines the pilot's weight and the additional force due to acceleration, resulting in a total force of m(a + g). Thus, the force exerted on the pilot by the airplane seat can be calculated using this formula.
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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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