Consider an airplane flying at some real altitude. The outside pressure and temperature are 2.65 x 104N/m2and 215 K respectively. What are the pressure and density altitude?

Respuesta :

Answer:

The pressure altitude is [tex]A = 10\ km[/tex]

The density altitude is [tex]\rho = 0.429 kg/m^3[/tex]

Explanation:

From the question we are told that

The outside pressure is [tex]P_o = 2.65*10^{4} N/m^2[/tex]

The outside temperature is [tex]T_o = 215 \ K[/tex]

Generally the density altitude is mathematically represented as

[tex]\rho = \frac{P_o }{RT}[/tex]

Here R is the gas constant with value [tex]R = 287\ J/kg/K[/tex]

So

[tex]\rho = \frac{2.65 (*10^{4}}{287 * 215}[/tex]

=> [tex]\rho = 0.429 kg/m^3[/tex]

Generally the altitude at which the pressure in the question is experience is

[tex]A = 10\ km[/tex]

Thus the pressure altitude is  [tex]A =  10\ km[/tex]