1 An aircraft climbs and then descends following a vertical

1) An aircraft climbs and then descends, following a vertical circular path of radius R = 2605 m as shown. At the top of its trajectory the speed of the aircraft is constant and is equal to 148 m/s. The mass of the pilot is 70 kg.

At the top of the trajectory, what is the magnitude of the force exerted on the pilot by his seat ?

A) FseatFseat = 686.7 N

B) FseatFseat = 8.41 N

C) FseatFseat = 1275 N

D) FseatFseat = 98.11 N

E) FseatFseat = 392 N

Solution

Answer:

Mg - N = MV²/R where N is the force exerted on the pilot by his seat

N = Mg - MV²/R = 70 x 9.81 - ( 70 x 148² )/ 2605 = 98.11 N

The option D is correct