Pikes Peak near Denver, Colorado, has an elevation of 14,110 ft.
A) Determine the pressure at this elevation, based on the equation
p = pa(1 - βz/T0)g/Rβ
β = .00650 K/m = absolute pressure at z =0 R= 286.9 J/kg*k.
B) If the air is assumed to have a constant specific weight of 0.07647 lb/ft3 what would the pressure be at this altitude?
C) If the air is assumed to have a constant temperature of 59˚F what would the pressure be at this elevation? For all three cases assume standard atmospheric conditions at sea level.
Properties of U.S Standard Atmosphere at Sea Level
Property SI Units BG Units
Temperature, T 288.15 K(15 oC) 518.67 oR(59.00 oF)
Pressure, P 101.33 kPa(abs) 2116.2 Ib/ft2(abs)
(14.696 Ib/in.2(abs))
Density 1.225 kg/m3 0.00237 slugs/ft3
Specific weight 12.014 N/m3 0.07647 Ib/ft3
Viscosity, mu 1.789 * 10-5 N.s/m2 3.737 * 10-7 Ib.s/ft2