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UK PPL(A)

Density altitude

The altitude the aeroplane performs as if it were at, from the elevation, QNH and temperature.

Fills QNH, temperature and dew point, and the elevation where the app has it.

Conditions

ft
hPa
°C

Result

964 ft
Warm day
Elevation 300 ftPressure alt 307 ftDensity alt 964 ft

The aeroplane performs as if it were several hundred feet higher than the field. Noticeable on a short grass strip near maximum weight.

Pressure altitude
307 ft
ISA temperature there
14.4°C (ISA +5.6°C)
Air density
97% of ISA sea level
Take-off distance (CAA)
+10%
Landing distance (CAA)
+5%
Rate of climb (rule of thumb)
−9%
Engine power (rule of thumb)
−3%
Exam method
  1. Pressure altitude = elevation + 27 ft for each hPa below 1013: 300 ft.
  2. ISA at that altitude is 14.4°C, so the day is ISA +5.6°C.
  3. Density altitude = pressure altitude + 120 ft for each °C above ISA: 980 ft.

The exact answer above uses the ISA pressure-height relation and the dry-air density formula. The distances use the CAA Safety Sense Leaflet 09 factors, the same as the take-off and landing tool. Climb and power are Koch chart rules of thumb for a normally aspirated piston: about −10% climb and −3% power for each 1,000 ft of density altitude. The Koch chart gives about +13% take-off distance for each 1,000 ft (+12% today).

Climb and speed today

ft/minSea level, ISA, max weight
ktBest rate (Vy)

Typical book figures for the PA-28-161 Warrior II. Check them in your flight manual.

Rate of climb
584 ft/min
TAS at 79 kt IAS
80 kt

A higher TAS also gives a higher groundspeed at lift-off and touchdown. Rule of thumb: +2% TAS for each 1,000 ft (81 kt).

Factor the take-off and landing distances

The theory is in ISA and altimetry in the Meteorology guide and performance in Aircraft Technical.

Density altitude964 ftWarm day
Take-off distance+10%Landing +5%, CAA factors