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Gross weight of an airplane is 7000 N, wing area is 16 m2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places).  
Correct answer is '18.80 to 18.90'. Can you explain this answer?
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Gross weight of an airplane is 7000 N, wing area is 16 m2, and the max...


Given data:

- Gross weight of the airplane = 7000 N
- Wing area = 16 m2
- Maximum lift coefficient = 2.0
- Density at altitude = 1.23 kg/m3

Calculation:

1. Calculate the lift force:
- Lift force = Gross weight of the airplane
- Lift force = 7000 N

2. Calculate the lift coefficient:
- Lift coefficient = Lift force / (0.5 * density * velocity^2 * wing area)
- 2.0 = 7000 / (0.5 * 1.23 * velocity^2 * 16)
- velocity^2 = 7000 / (2 * 1.23 * 16)
- velocity^2 = 226.22
- velocity = √226.22
- velocity ≈ 15.04 m/s

3. Calculate the stall speed:
- Stall speed is when the lift coefficient reaches its maximum value (2.0)
- At stall, lift coefficient = 2.0
- 2.0 = 7000 / (0.5 * 1.23 * stall speed^2 * 16)
- stall speed^2 = 7000 / (2 * 1.23 * 16)
- stall speed^2 = 226.22
- stall speed = √226.22
- stall speed ≈ 15.04 m/s

Answer:

The stall speed of the aircraft is approximately 15.04 m/s, which is between 18.80 to 18.90 when rounded to two decimal places.
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Gross weight of an airplane is 7000 N, wing area is 16 m2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places). Correct answer is '18.80 to 18.90'. Can you explain this answer?
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Gross weight of an airplane is 7000 N, wing area is 16 m2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places). Correct answer is '18.80 to 18.90'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Gross weight of an airplane is 7000 N, wing area is 16 m2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places). Correct answer is '18.80 to 18.90'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gross weight of an airplane is 7000 N, wing area is 16 m2, and the maximum lift coefficient is 2.0. Assuming density at the altitude as 1.23 kg/m3, the stall speed (in m/s) of the aircraft is _________ (accurate to two decimal places). Correct answer is '18.80 to 18.90'. Can you explain this answer?.
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