What is the TAS at MACH 0.70 and -43 degrees C?

To determine the True Airspeed (TAS) at a Mach speed of 0.70 and a temperature of -43 degrees Celsius, it is essential to understand the relationship between Mach number, temperature, and TAS.

Mach number is a dimensionless unit that represents the ratio of the speed of an object to the speed of sound in the surrounding medium. To find the TAS, we first need to calculate the speed of sound at the given temperature. The speed of sound in air can be approximately calculated using the formula:

[

a = 20.05 \times \sqrt{T}

]

where ( T ) is the temperature in Kelvin. To convert Celsius to Kelvin, we add 273.15 to the Celsius temperature.

Starting with -43 degrees Celsius:

• Convert to Kelvin: -43 °C + 273.15 = 230.15 K

• Now, calculate the speed of sound:

[

a = 20.05 \times \sqrt{230.15}

]

This will yield a specific value for the speed of sound at that temperature.

After calculating the speed of sound, we multiply it by the Mach number (0.70) to find the TAS:

[

TAS