How many times is the speed of sound propagation in a tailwind greater than the speed of sound in a headwind

univerkov | June 14, 2021 | education

How many times is the speed of sound propagation in a tailwind greater than the speed of sound in a headwind if the wind speed is 20% of the speed of sound in calm weather?

Let’s denote:
Vz is the speed of sound in calm weather,
Vв – wind speed,
Vzp – speed of sound with a tailwind,
Vsv is the speed of sound in a headwind.
Vv = 0.2 * Vz;
Vzp = Vz + Vv = Vz + 0.2 * Vz = 1.2 * Vz;
Vs = Vs – Vs = Vs-0.2 * Vs = 0.8 * Vs;
Vzp / Vsv = (1.2 * Vz) / (0.8 * Vz) = 1.5.

Answer: 1.5 times.

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