An airplane is flying in a horizontal circle at speed of 137 m/s. The acceleration of gravity is 9.8 m/s^2.?

Question

The 75.8 kg pilot does not want his radial acceleration to exceed 10.3 grams.

a) What is the minimum radies of the circular path?

b) At this radius, what is the net centripetal force exerted on the pilot by the seat belts, the fricion between him and the seat, and so forth?

Answer 1

The centripetal force is
m*v^2/r
Is the acceleration in m/s^2? (slightly over 1 g?)
since m=75.8
and v=137 m/s, set up
137^2/r=10.3 m/s^2
and solve for r
1.82 km

The force is 75.8*10.3
or 780 N

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