Physics
posted by Dave on .
An airplane is ﬂying in a horizontal circle at a speed of 104 m/s. The 88.0 kg pilot does not want the centripetal acceleration to exceed 6.15 times freefall acceleration.
Find the minimum radius of the plane’s
path. The acceleration due to gravity is 9.81m/s2.
Answer in units of m

Dave your dealing with Circular motion so you would use this circular motion formula;Ac=Vc2/r
1. In your problem your trying to find the radius.
2. The Ac is already given, but since the problem asks for it not to exceed 6.15 times the freefall acceleration. You must times them.
Ac=6.15*9.81
Ac=~60.3315m/s.
3. Next, you plug in your airplane speed (104m/s.) and square that.
4. Your final step is to divide 104(squared) by 6.15*9.81.
Giving you the answer of ~179.276m.
Good Luck! With the rest of your Physics!