At -22 degrees Celsius, what is the MACH 0.74 true airspeed?

To determine the true airspeed (TAS) at a given Mach number, you can use the equation that relates Mach number to the speed of sound and true airspeed. At a temperature of -22 degrees Celsius, you first need to calculate the speed of sound at that temperature.

The speed of sound can be calculated using the formula:

[

a = 331.3 + (0.6 \times T)

]

where ( T ) is the temperature in degrees Celsius. For -22 degrees Celsius, the calculation would be:

[

a = 331.3 + (0.6 \times -22) = 331.3 - 13.2 = 318.1 \text{ m/s}

]

Then, to convert this speed into knots, you use the conversion factor ( 1 \text{ m/s} = 1.94384 \text{ knots} ):

[

a = 318.1 \text{ m/s} \times 1.94384 = 618.4 \text{ knots}

]

Now, to find the true airspeed at Mach 0.74, you multiply the speed of sound by the Mach number:

[

T