Final answer:
To calculate the ISA at a given pressure altitude and determine the density altitude correction, use the formula T = T0 - (L * H), where T is the temperature at the given altitude, T0 is the standard temperature at sea level, L is the lapse rate, and H is the pressure altitude. Once the ISA temperature is determined, you can calculate the density altitude correction based on the difference between the actual temperature and the ISA temperature.
Step-by-step explanation:
The question is asking to calculate the International Standard Atmosphere (ISA) at a given pressure altitude to determine the density altitude correction. The standard temperature lapse rate for the ISA is 2 °C per 1,000 feet. The formula to calculate the ISA at a given pressure altitude is:
T = T0 - (L * H)
Where:
T = Temperature at the given altitude
T0 = Standard temperature at sea level (15 °C or 288 K)
L = Lapse rate (2 °C per 1,000 feet or 6.5 K per km)
H = Pressure altitude in feet or kilometers
Once you have the ISA temperature, you can use it to calculate the density altitude correction.
For example, if the pressure altitude is 5,000 feet:
T = 288 - (2 * 5) = 288 - 10 = 278 K
The density altitude correction would then depend on the difference between the actual temperature and the ISA temperature.