A jet is flying at a speed of 356 m/s in an air temperature of 25 C. What is the Mach number of the jet?

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  • 4 months ago
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    v(j) = velocity of jet = 356 m/s

    v(s) = velocity of sound = to be determined

    M = Mach number = to be determined

    The speed of sound [v(s)] depends on the type of medium through which the sound is

    traveling and the density of the medium.

    Air temperature = 25 °C

    γ = (gamma) ratio of specific heats = 1.4 for air at STP*

    *standard temperature and pressure

    R = gas constant = 286 m²/s²/K for air

    T = absolute temperature (273.15 K + °C) = 298.15 K

    v(s) = speed of sound = to be determined

    v(s) = √(γRT)

    v(s) = 345.5130388 m/s ≈ 346 m/s

    M = v(j)/v(s)

    M = 1.030351854 ≈ 1.03

  • 4 months ago

    A big piece of the puzzle missing here to solve this.

    ''What is the density altitude ?? '' or is this sea level.

    That would equate to just over mach 1.

  • 4 months ago

    From https://www.weather.gov/epz/wxcalc_speedofsound , the speed of sound in air at 25°C is 346.06 m/s. If the jet is flying at 356 m/s, then it's mach number would be

    356/346.06 = mach 1.03.

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