Uniform circular motion - plane in a circular arc

AI Thread Summary
The discussion focuses on a physics problem involving a pilot experiencing upward acceleration during a circular arc maneuver. The pilot's mass is given as 60 kg, and the speed of the plane is 330 km/h. The key equation for centripetal acceleration, ac = v²/r, is highlighted, but there is confusion regarding the forces involved, particularly the net force causing the centripetal acceleration. The upward acceleration experienced by the pilot, equivalent to 9.0 gs, indicates the centripetal acceleration directed towards the center of the circular path. The challenge lies in calculating the radius of the plane's arc without knowing the mass of the plane or the additional forces at play.
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Homework Statement



As a pilot comes out of a dive in a circular arc she experiences an upward acceleration of 9.0 gs (i.e. 9 x 9.8).

a) Mentions that the Pilot's mass is 60 kg, already solved this

b) If the speed of the plane is 330 km/h, what is the radius of the plane's arc?

Homework Equations



ac = v2/r
Fnet = \SigmaF

The Attempt at a Solution



No idea what to do because I can't figure out what is causing the centripetal acceleration.

mv2/r = - mg

I don't know the mass of the plane, and if I add another force which I assume would cause the centripetal acceleration then I have no way of calculating that either.
 
Physics news on Phys.org
The upward acceleration the pilot experiences is directed towards the center of rotation, so you are given the centripetal acceleration.
 

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