For a car traveling at a certain speed, it is possible to bank a curve at just the right angle so that no friction is needed to maintain the car's turning radius. At what angle (theta) should the curve be bunked so that a car moving at a speed of 55.0 mi/h can safely make the turn even with no friction? The radius of the curve is R = 230.0 m. Please draw a free - body diagram for car and show detailed calculation.