Rules of thumb
Disclaimer: These rules of thumb may not be applicable in every single situation. Use with caution.
50/70 rule for aborting a takeoff
Abort if you haven't reached 70% of your rotation speed by 50% of the runway length
Example:
Rotation speed = 50 kts
Minimum speed by 50% of runway length = 70% x 50 = 35 kts
Required rate of climb in feet per minute (FPNM to FPM)
Rate of climb = (Ground speed / 60) x FPMN requirement
Example:
Departure procedure requires 200 feet per nautical mile
Ground speed during climb = 120 kts
Rate of climb = (120 / 60) x 200 = 400 feet per minute
Climb gradient in percentage
(Rise / Run) x 100
Example:
Climb 200 ft (rise) over 1 nm (6076 ft) (run)
Gradient = (200 / 6076) x 100 = 3.3%
Lead radial (e.g. turning inbound from a DME arc)
(60 / DME of arc) x (1% of ground speed)
Example:
Flying at a ground speed of 150 kts on a 15 DME arc
Lead radial = 4 x 1.5 = 6 radials from desired course
Crosswind component
Angle between wind and runway Crosswind component (approximate)
15° 25% of wind speed
30° 50% of wind speed
45° 75% of wind speed
60° or greater 100% of wind speed
Note: Memory aid - think of a round clock face. 15 min pass the hour is 1/4 (25%) of the circle. 30 min pass the hour is 1/2 (50%) of the circle. 45 min pass the hour us 3/4 (75%) of the circle.
Example:
Runway heading = 350°
Reported wind velocity = 320° / 10 kts
Angle between wind and runway = 30°
Crosswind component = 50% x 10 = 5 kts
Rate of descent to follow a 3° glideslope
5 x Ground speed
or (Ground speed x 10 ) / 2
Example:
Ground speed = 150 kts
Rate of descent required = 5 x 150 = 750 feet / min
Visual Descent Point (VDP)
Height Above Touchdown (HAT) or Minimum Descent Height (MDH), divided by 300 (for 3° glideslope)
or [Minimum Descent Altitude (MDA) - Touchdown Zone Elevation (TDZE)] / 300
Example:
Minimum descent height (MDH) = 600 ft AGL
Visual descent point (VDP) = 600 / 300 = 2nm from touchdown point
Visibility needed to see runway from VDP (non-precision approach)
Visibility (in meters) = 6 x minimum descent height (feet)
Example:
MDH = 500 ft
Visibility required = 6 x 500 = 3000 meters
Cater for gust factor during approach and landing
Add half of the gust factor to the final approach speed
Example:
Final approach speed (IAS) = 60 kts
Reported winds = 15 gusting to 25 (gust factor: 10 kts)
Speed to fly (IAS) = 60 + (10 / 2) = 65 kts
Hydroplaning speed
9 x square root of tire pressure (psi)
Example:
Tire pressure = 36 psi
Hydroplaning speed = 9 x √36 = 54 kts
Density altitude
Pressure altitude + [120 x (difference between actual air temperature and standard in celsius)]
Example:
Elevation = Sea level, Altimeter = 29.92, Temperature = 25°C
Density altitude = 0 + [120 x (25 - 10)] = 1200 ft
Estimate cloud base with temperature and dew point
[(Temperature - dew point) / 2 ] x 1000
Example:
Temperature = 10°C, Dew point = 5°C
Cloud base = (5 / 2) x 1000 = 2500 ft
ISA temperature (Standard temperature lapse rate)
Temperature decreases by approximately 2°C per 1000 ft increase in altitude
or (Altitude in thousands of feet x 2) - 15, then change the sign (positive to negative and vice versa)
Note: Standard temperature at sea level is 15°C
Example:
ISA temperature at 6000 ft AMSL = 15 - (2 x 6) = 3°C
ISA temperature at 12000 ft AMSL = (12 x 2) - 15 = 9 ; Change sign = -9°C
ISA pressure (Standard pressure lapse rate)
Pressure decreases by approximately 1"Hg per 1000 ft increase in altitude, up to 10,000 ft
Note: Standard pressure at sea level is 29.92″ Hg
True airspeed (TAS) at various altitudes
TAS = IAS + (2% of IAS x altitude in thousands of feet)
or TAS increases by approximately 2% for every 1000 ft increase in altitude
Example:
Altitude = 8000 ft AMSL
IAS = 200 kts
TAS = 200 + (4 x 8) = 232 kts
Bank angle for standard rate turn
15% of TAS
or TAS/10 + (half of the result)
Example:
True airspeed = 180 kts
Bank angle = 18 + 9 = 27°
Turn diameter or turn radius (for standard rate turn)
Diameter = (Ground speed / 100) + 0.1*
Radius = Diameter / 2
* Note: Below approximately 80 kts ground speed, the addition of 0.1 is not required)
Example:
Ground speed = 170 kts
Turn diameter = 1.8 nm
Turn radius = 0.9 nm
Convert between percentage and degrees (gradient and angle)
Percentage = (10 x degrees) / 6
Degrees = (6 x percentage) / 10
Example:
3° in terms of percentage = 30 / 6 = 5%
5% in terms of degrees = 30 / 10 = 3°
Horizon range
Square root of height (ft)
Example:
At 10,000ft, the horizon is at approximately √10,000 = 100 nm