A pilot making a level turn in an airplane (drawn best i couldbelow) banks or ti

Question

A pilot making a level turn in an airplane (drawn best i couldbelow) banks or tilts the plane at an angle to create the necessarycentripetal force. As the plane flies, the air pushes upward on thewing surfaces with a net lifting force L that is alwaysperpendicular to the wing surfaces. If the plane is banked at anangle with respect to the horizontal: a.)Complete the free body diagram of the plane showing allforces and force components. b.)In the free body diagram circle/indicate the force or forcecomponent that is responsible for holding the plane in theturn. c.) Derive (using Newtons 2nd law etc) an expression thatrelates the banking angle, , to the speed of the plane,v, the radius of the turn, r, and theacceleration due to gravity, g. d.)Using your result from part (c), at what angle with respectto the horizontal, should a plane be banked when traveling at195m/s around a turn whose radius is 8250m? Please show all work for full points.

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