Please help homework due in a couple hours and still havent gotten the correct a

Question

Please help homework due in a couple hours and still havent gotten the correct answer. I got the first one but need the second 2. Thanks! Its due in like 3 hours :/

An airplane of mass 17000 kg is flying in a straight line at a constant altitude and with a speed of 700.0 km/hr. The force that keeps the airplane in the air is provided entirely by the aerodynamic lift generated by the wings. The direction of this force is perpendicular to the wing surface. Calculate the magnitude of the lift generated by the wings of this airplane.

Answer:
magnitude of lift generated = 17000 * 9.8
magnitude of lift generated = 166600 N

To change the direction of the plane, its wings are banked. If the wings of the plane are banked 30.0° to the horizontal, what is the radius of the circle in which the plane will be flying? Assume that the speed remains 700.0 km/hr during the turn and that the magnitude of the lift provided by the wings is unchanged.

What is the magnitude of the vertical acceleration that the airplane experiences as a result of the turn?

Explanation / Answer

Here ,

speed of plane , v = 700 km/hr

v = 194.4 m/s

as the lift force is constant ,

centripetal force = Ft * cos(theta)

m * v^2/r = Ft * cos(30)

166600 * cos(30) = 17000 * 194.4^2/r

r = 43637 m = 43.67 km

the radius of circle is 43.67 km

Now ,

acceleration in vertical direction = g *sin(theta) - g

acceleration in vertical direction = g * sin(30) - g

acceleration in vertical direction = 9.8 *(0.5 -1)

acceleration in vertical direction = -4.9 m/s^2

acceleration in vertical direction is -4.9 m/s^2

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