Discussion
Assertion (A): A better high-lift system allows a smaller wing for the same landing distance.
Reason (R): The allowable wing loading for a given approach speed scales with the maximum lift coefficient.
Select the correct answer from the options below.
Answer: C
Correct answer: Both A and R are true, and R is the correct explanation of A
Both statements are true and the reason explains the assertion. For a fixed approach speed, the allowable wing loading scales directly with \( C_{L,max} \):
\[ \frac{W}{S} = \tfrac{1}{2}\rho V_s^2 C_{L,max} \]
So a better high-lift system permits a higher wing loading at the same speed, which means a smaller wing for the same weight - the landing line moves right and the wing shrinks. This is why flap and slat development pays for itself despite being used for only a few minutes of each flight.
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