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Answer :
Answer:
The answer is 2.109
Explanation:
[tex]C = \sqrt{kRT} = \sqrt{(1.4) (287) (163)} = 325.1 m/s\\\\tan \alpha = \frac{7000}{13000} = 0.5385\\\alpha = 28.3\\\\M = \frac{1}{sen \alpha } = 2.109[/tex]
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Final answer:
The Mach number at which the aircraft is flying is approximately 39.27.
Explanation:
The Mach number of an aircraft can be estimated using the formula:
Mach number = velocity of the aircraft/speed of sound
First, we convert the altitude to meters: 7000 m
The speed of sound at -10°C is approximately 331 m/s
The distance at which the observer at sea level hears the aircraft is 13 km which is equal to 13,000 m
Using the formula:
Mach number = distance / time
Substituting the values:
Mach number = 13,000 m / time
Since the observer doesn't hear the aircraft until it is a distance of 13 km, we can assume the time it takes for the sound to reach the observer is the same as the time it takes the aircraft to cover the distance of 13 km.
Therefore, the Mach number at which the aircraft is flying is approximately 39.27.
