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The Airbus A-340 passenger plane has a maximum takeoff
Chapter 2, Problem 58P(choose chapter or problem)
QUESTION: Problem 58P
The Airbus A-340 passenger plane has a maximum takeoff weight of about 260,000 kg, a length of 64 m, a wing span of 60 m, a maximum cruising speed of 945 km/h, a seating capacity of 271 passengers, maximum cruising altitude of 14,000 m, and a maximum range of 12,000 km. The air temperature at the crusing altitude is about −60°C. Determine the Mach number of this plane for the stated limiting conditions.
Questions & Answers
QUESTION: Problem 58P
The Airbus A-340 passenger plane has a maximum takeoff weight of about 260,000 kg, a length of 64 m, a wing span of 60 m, a maximum cruising speed of 945 km/h, a seating capacity of 271 passengers, maximum cruising altitude of 14,000 m, and a maximum range of 12,000 km. The air temperature at the crusing altitude is about −60°C. Determine the Mach number of this plane for the stated limiting conditions.
ANSWER:
Step 1:
To find the Mach number of the plane. It is nothing but the ratio of actual speed of the plane and the speed of sound under the condition. Since speed of sound varies place to place.
Maximum cruising speed of Airbus v = 945 km/h
Maximum cruising altitude = 14,000 m
Temperature at cruising altitude T = −60°C or 213.15 K