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 free-fall 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 free-fall acceleration. You must times them.
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!