What is the TAS at MACH 0.74 and -24 degrees C?

To determine the True Airspeed (TAS) at a given mach number and temperature, you can use the formula that relates these variables. The TAS is influenced by the Mach number, which is a ratio of the aircraft's speed to the speed of sound in the surrounding air, and the air temperature affects the speed of sound.

At a standard temperature of -24 degrees Celsius, it is essential to first convert this temperature to Kelvin or Rankine for calculation purposes, or directly use the conversion factors that are typically provided in aviation calculations. The speed of sound in air decreases as the temperature drops, and at -24 degrees Celsius, the speed of sound is lower than it would be at higher temperatures.

To find the TAS at Mach 0.74, you can calculate the speed of sound under the specified temperature conditions and then multiply that by the Mach number:

1. Determine the speed of sound at -24 degrees Celsius:

The speed of sound at 0 degrees Celsius is approximately 331.3 m/s plus an increase of about 0.6 m/s for each degree Celsius increase. By applying this calculation to -24 degrees Celsius, you find the speed of sound.

2. Calculate the TAS:

TAS = Mach number × Speed