To find the wing area of the modified A319, we first need to calculate the original wing area.
The standard wing area of an Airbus A319 is approximately 122 square meters.
Given that the lift coefficient is increased by 40%, we can express this as a lift coefficient of 1.4 times the original value.
Since lift coefficient is directly proportional to lift, we can assume that the lift of the modified A319 remains the same as the original A319.
Hence, the modified lift coefficient (C_L_modified) is equal to original lift coefficient (C_L_original) multiplied by 1.4.
Let the modified wing area be represented by A_modified.
Since lift (L) is directly proportional to wing area (A) and the lift coefficient (C_L), we can write:
L_modified = C_L_modified * A_modified
L_original = C_L_original * A_original
Since the lift remains the same for both the original and modified A319:
L_modified = L_original
=> C_L_modified * A_modified = C_L_original * A_original
Since C_L_modified = 1.4 * C_L_original, we can substitute it in the equation:
1.4 * C_L_original * A_modified = C_L_original * A_original
Simplifying the equation, we get:
1.4 * A_modified = A_original
A_modified = A_original / 1.4
Plugging in the value of A_original (122 square meters), we can calculate A_modified:
A_modified = 122 / 1.4
A_modified ≈ 87.14 square meters
Therefore, the wing area of the modified A319 would have to be approximately 87.14 square meters.
Suppose an airliner is planning to fly an Airbus A319 very low over a water surface, thereby increasing its lift coefficient by 40%. However, the airliner does not need 40% extra lift, instead it decides to reduce the wing area such that the aircraft generates the same lift as a normal A319. What would the wing area (in square metres) of this modified A319 have to be?
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