Airplane Pilot, dealing with Uniform Circular Motion

[glockstock]

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?

 

[rl.bhat]

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...?

 

[HallsofIvy]

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).