A woman flying aerobatics excutes a circlar maneuver. The radius(r) which is half of the diameter equals to 380meters(m), the velocity(v) which is the speed over the period of time equals 65 meters/seconds(m/s), and the mass(m) which is how much it weighs in kilograms equals to 55 kilograms(kg). To Determine the acceleration of the centripetal force, you need to use the formula, Ac=(v^2)/r. This means that the velocity depends on the radius. After you know the correct formula to use, you plug in (65m/s)^2 for v^2 and 380m for r. You then divide (65m/s)^2 by 380, and you will get the number 11.12m/s^2, which is the correct number for finding the acceleration of the centripetal force. To find the force diagram of the plane, you use the formula W+N=ma, because they are both facing down in the force diagram and working together and N is facing down because the plane is upside down, that is why it is W+N, where the W stands for the weight of the earth on the plane, the N is the normal force of the plane(the seat she is sitting on), the m equals the mass in kilograms, and the a is the acceleration. To find the W, you use the formula W=m(9.8m/s^2) which equals to W=(55kg)(9.8m/s^2). That equals to 539newtons(n). Then to find the N you plug the numbers into the first equation, so it is 539n+N=(55kg)(11.12m/s^2). Then simplify and you get N=72.6n. Finally to draw the diagram, the N is a lot smaller than the W, so the W arrow is larger than the N arrow, which means the forces are unbalanced. But because the forces are unbalanced, that is why the plane travels in a circle. And the N force is down because the plane is upside down. So, because they are both facing downward, they are working together, that is why the equation is W plus N not minus N.
So, the woman at this position is feeling heavier. I found this because of the equation N+W=what the woman is feeling. It is N plus W because the two forces are working together. N is the normal force (72.6n), and W is the gravitional pull(539n). So, then you plug in the numbers for the equation and is 72.6n+539n=what the woman is feeling, then it's 611.6n=what the woman is feeling. But normally she feeling N-W because the two forces are working agaisnt eachother. So, plug in the numbers again and it is 72.6n-539n=what she usually feels. So, -466.4n=what she usually feels. So then you just compare the two weights to eachother, and you get that 611.6n >(greater than) -466.4n.