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 An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15.  Assuming g as 9.81 m/s2, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places). 
Correct answer is '62.00 to 63.50'. Can you explain this answer?
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An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude ...


Given data:
- Mass of aircraft (m) = 400,000 kg
- Cruise velocity (V) = 240 m/s
- Altitude (h) = 10 km = 10,000 m
- Lift to drag ratio (L/D) = 15
- Acceleration due to gravity (g) = 9.81 m/s^2

Step 1: Calculate Lift and Drag forces
- Lift force (L) = Weight of the aircraft = m * g = 400,000 kg * 9.81 m/s^2 = 3,924,000 N
- Drag force (D) = L / (L/D) = 3,924,000 N / 15 = 261,600 N

Step 2: Calculate Power required for cruising
- Power (P) = Thrust * Velocity = Drag force * Velocity
- P = D * V = 261,600 N * 240 m/s = 62,784,000 W = 62.78 MW

Therefore, the power needed for the aircraft to cruise is approximately 62.78 MW. The answer falls within the range of 62.00 to 63.50 MW as provided.
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An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s2, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places).Correct answer is '62.00 to 63.50'. Can you explain this answer?
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An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s2, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places).Correct answer is '62.00 to 63.50'. 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 An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s2, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places).Correct answer is '62.00 to 63.50'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s2, the power (in MW) needed for it to cruise is _______ (accurate to two decimal places).Correct answer is '62.00 to 63.50'. Can you explain this answer?.
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