My teacher gave us a few problems to study for the test but he never gave us the anser sheet to check if the answer is correct so i decided i would post it here. the question reads:

An airplane is flying in a horizontal circle of radius 0.756km
(a) what must be the speed of the plane if the pilot is to experience a centripetal acceleration 2.57 times that of gravity?
(b) if the pilot has a mass of 105 kg, what is the centripetal force acting on him?

i worked through the first problem assuming that centripetal acceleration can be found from multiplying the 2.57 by 9.8 (I'm not quite certain if this is correct but it seemed to be the most logical conclusion) and plugged it into one of the formulas to get 137.984m/s

for the second one i just plugged it into F=ma (both f and a are centripetal) to get 2644.53N

So if anyone wants to work them through and see if there answers match mine that would be awesome. if they don't then please tell me where i went wrong.

The centripetal accln is given by (v^2) / r and this should be equal to 2.57 x g. So

v^2 / r = 2.57 x 9.8.

Solve for v.

The centripetal force is given by (m v^2) / r.

So multiply the above answer by the mass.