*Class exercise for September 18 ^{th}*

An airplane is moving around a circle of radius 225 m. Draw vectors
representing the particle's instantaneous velocity at point A and acceleration
at point B.

If the pilot wants the acceleration at point B to equal **g**, then
what should be the airplane's speed at B?

a = v^{2}/r = g

So

v = Ö (gr) = Ö
(10 m/s^{2})(225 m) = 47 m/s

If the speed remains constant around the circle, what is the period of the motion?

T = 2p r/v = 2p (225 m)/(47.4 m/s) = 30 s (2 sig fig)