Flight Performance Homework I: Take off Run Calculations Assignment

Assignment Task

1. Calculate liftoff speed vLOF

• Use vertical (Z plane) balance of forces and solve to speed vLOF

• At vLOF: L = W and Fz = 0

• Result values in total: 1 (speed)

2. Calculate acceleration at brake release point (BRP)

• Use longitudinal (X plane) balance of forces and solve to acceleration a → at BRP: v = 0 m/s

• Result values in total: 1 (acceleration)

3. Calculate all forces and acceleration at v = 97,19 kt

• According to subtask 2. with specific v

• Consider speed effect given by k1 when calculating the thrust force

• Relevant forces to be calculated: thrust, drag, lift, rolling resistance, downslope force (x component of weight force), contact force, intertia, weight and normal force

• Result values in total: 9 (forces) + 1 (acceleration)

4. Calculate time t and distance s until liftoff

• Use previous results segment-wise to determine these values o Segment 1: BRP to v = 97,19 kt o Segment 2: v = 97,19 kt to vLOF

• Assume uniform acceleration and use corresponding equations of motion

• Result values in total: 2 (t and s in segment 1) + 2 (t and s in segment 2) + 2 (total t and s summing up both segments)

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