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Answer :
Final answer:
The lift generated by the airplane wing, given the conditions described, would be 4.053 kPa, which is not precisely represented by any of the provided answer choices. The closest approximate answer (A) 3.6 kPa is correct.
Explanation:
The student is asking how to calculate the lift generated by an airplane wing, given the difference in air pressure below and above the wings is 4% of atmospheric pressure, and the total wing surface is 90 square meters. To determine the lift, you need to multiply the pressure difference by the wing area. Since the standard atmospheric pressure at sea level is approximately 101,325 Pa (Pascal), 4% of this value is 4,053 Pa. When you multiply this pressure difference by the wing surface area (90 m²), you get the lift force in Newtons:
Lift = Pressure difference × Wing area
Lift = 4,053 Pa × 90 m² = 364,770 N
To express this lift force in kilopascals (kPa), where 1 kPa = 1,000 N/m², you divide the force by the area:
Lift (in kPa) = 364,770 N / 90 m² = 4,053 N/m²
Since 1 N/m² is equal to 1 Pa, the lift in kPa would simply be 4,053 Pa / 1,000 = 4.053 kPa. So none of the provided answer choices (A, B, C, D) are correct. The closest approximate answer would be 3.6 kPa if the calculation was rounded down, which is not accurate considering the given precision.
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