Here is the problem: During an air show an aircraft comes out of a dive at the bottom of a circular arc at a horizontal speed of 97m/s. In the cockpit the aircraft pilot of mass 58kg experiences an upward vertical acceleration of 88m/s2. a)Find the magnitude of the upward normal contact force from aircraft seat acting on the pilot. b)Find radius of the pilot's flight path

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
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Hi, today I had my engineering mechanics 1 test which I completely screwed up. I was quite confident in the uniform circular motion, but I had this problem in my exam which completely confused me. When I read "upward vertical acceleration" my head just start to spin as I couldn't understand what force could cause an upward acceleration. Could you help me with this problem? I bet it is easier than it looks, but still, I am confused about what is asking me and most importantly about the input it is giving me. I don't have my exam paper with me, but on my body diagram, I knew that on the aeroplane were exerted the Force of Contact Fn1 and the Force m1g in the y opposite direction. On the pilot was acting the Force of Contact with the seat of the aeroplane Fn2 and the m2g in the y opposite direction.

Here is the problem:

During an air show an aircraft comes out of a dive at the bottom of a circular arc at a horizontal speed of 97m/s. In the cockpit the aircraft pilot of mass 58kg experiences an upward vertical acceleration of 88m/s2.

a)Find the magnitude of the upward normal contact force from aircraft seat acting on the pilot.

b)Find radius of the pilot's flight path

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It was indeed as I thought very simple indeed. I was actually almost there in resolving it but I got stuck. What still confuses me is why is the acceleration going upward? The centripetal acceleration is centre-seeking. That's what got me confused because I thought there wasn't another force acting on the system which I wasn't recognizing. 

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