The dynamic air pressure is given as Pd= 1/2 * density * True Air Speed^2 . Lets just say that the TAS is proportional to Dynamic Pressure/ Density. For the static pressure, Ps is proportional to temperature and density. So if u rearrange, Temperature is proportional to Static Pressure/Density. Therefore, this just means that Local Speed of Sound is also proportional to Static Pressure/Density. Now answering ur question. Since MACH number is just TAS/LSS, if you throw in the variables [Dynamic Pressure/Density]/[Static Pressure/Density], the density cancels out and its just a matter of a ratio of dynamic pressure to static pressure.
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Very informative, thank you
how does the machmeter work with air pressure when the actual value for speed of sound depends on temperature.
The dynamic air pressure is given as Pd= 1/2 * density * True Air Speed^2 . Lets just say that the TAS is proportional to Dynamic Pressure/ Density.
For the static pressure, Ps is proportional to temperature and density. So if u rearrange, Temperature is proportional to Static Pressure/Density. Therefore, this just means that Local Speed of Sound is also proportional to Static Pressure/Density.
Now answering ur question. Since MACH number is just TAS/LSS, if you throw in the variables [Dynamic Pressure/Density]/[Static Pressure/Density], the density cancels out and its just a matter of a ratio of dynamic pressure to static pressure.
Degree Kelvin???