MAE02_L17_Turning.pdf

# L cos w vertical cos 1 n n l w n load factor l lift w

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L cos = W Vertical: cos = 1 n n L W n = load factor L = lift W = weight m = mass g = gravity cos = 1 L / W Load factor is traditionally expressed in units of "g". L = W n L = m g n A "2g turn" means n = 2 and the acceleration experienced is twice the value of gravity. acceleration

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5 MAE 2 Horizontal Acceleration The turning airplane experiences a centrifugal acceleration in the horizontal direction. L = lift W = weight = bank angle V = airspeed R = turn radius m = mass W L Airplane is flying into page during a right turn (right wing down) centrifugal acceleration = V 2 R L sin = m V 2 R
6 MAE 2 Turn Radius Turn radius is found by combining the horizontal and vertical force equations. L sin = m V 2 R L cos = W L sin L cos = m W V 2 R tan = 1 g V 2 R R = V 2 g tan sin = 1 cos 2 = 1 1 n 2 = n 2 1 n 2 = 1 n n 2 1 cos = 1 n R = V 2 g n 2 1 tan = sin cos = n n n 2 1 = n 2 1 sin 2  cos 2 = 1 recall:

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7 MAE 2 Turn Rate Turn rate measures how fast the airplane's compass heading angle is changing. For example, how long will it take the airplane to change directions from North to East (a heading change of 90 degrees)?
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