Escorting ...
Posted: Thu Apr 02, 2009 3:25 pm
Wee Thunks Illustrated
In the hazy skies over the Pacific visibility can be a bigger problem than usual. One way to minimize losing your mates is to slow down and fly parallel to your charges. If your ego can't handle that or if you must move 'round simply to stay awake, make your turns level and standard rate. Here's the formula for standard rate turns. It just takes a few minutes to calculate ...
~~~
Angle of Bank formula for a specific True Airspeed (TAS) is:
\tan(bank)=\frac{TAS^2/r}{g}
where r is the radius of the turn and g is the acceleration due to gravity. For a rate one turn and velocity in kt (nautical miles per hour), this comes to
\tan(bank)=\frac{TAS(kt)}{364}.
A convenient approximation for the bank angle in degrees is
Angle\ of\ Bank \approx \frac{TAS(kt)}{10} + 7
Radius of Turn formula
To calculate the radius of a Rate 1,2 or 3 turn at a specific TAS.
Radius\ of\ turn\ in\ NM = \frac{TAS(kt)}{rate\ of\ turn\ (1\ or\ 2\ or\ 3) \times 60 \times \pi}
Use this formula to calculate the radius of turn in feet given velocity in knots and angle of bank:
Radius\ of\ turn\ in\ feet = \frac{velocity^2}{11.29 \times \tan(bank)}
This is a simplified formula that ignores slip and returns zero for 90 degrees of bank.
The constant 11.29 is calculated:
11.29 = \frac{9.8 \times 3600 \times 3600}{1852 \times 6076.12}
9.8 = gravity\ in\ metres\ per\ second\ per\ second
3600 = seconds\ per\ hour
1852 = metres\ per\ nautical\ mile
6076.12 = feet\ per\ nautical\ mile
...
...
or just use ~ three degrees/sec,~180 degrees/minute or ~20-22 degree bank,
whichever is easier for you.
~~~
Base your turns on the bombers course and maintain two headings; 45 deg to the right and 45 deg to the left of bomber course.*
Leads should wake up their fli ... erm, notify their flight when the turn is made. (Ex: "... to the left now ...")
Falcon
* Your results may vary, open at your own risk, many will enter, few will win, some parts are edible, not available in Montana, Florida or North Malden.
In the hazy skies over the Pacific visibility can be a bigger problem than usual. One way to minimize losing your mates is to slow down and fly parallel to your charges. If your ego can't handle that or if you must move 'round simply to stay awake, make your turns level and standard rate. Here's the formula for standard rate turns. It just takes a few minutes to calculate ...
~~~
Angle of Bank formula for a specific True Airspeed (TAS) is:
\tan(bank)=\frac{TAS^2/r}{g}
where r is the radius of the turn and g is the acceleration due to gravity. For a rate one turn and velocity in kt (nautical miles per hour), this comes to
\tan(bank)=\frac{TAS(kt)}{364}.
A convenient approximation for the bank angle in degrees is
Angle\ of\ Bank \approx \frac{TAS(kt)}{10} + 7
Radius of Turn formula
To calculate the radius of a Rate 1,2 or 3 turn at a specific TAS.
Radius\ of\ turn\ in\ NM = \frac{TAS(kt)}{rate\ of\ turn\ (1\ or\ 2\ or\ 3) \times 60 \times \pi}
Use this formula to calculate the radius of turn in feet given velocity in knots and angle of bank:
Radius\ of\ turn\ in\ feet = \frac{velocity^2}{11.29 \times \tan(bank)}
This is a simplified formula that ignores slip and returns zero for 90 degrees of bank.
The constant 11.29 is calculated:
11.29 = \frac{9.8 \times 3600 \times 3600}{1852 \times 6076.12}
9.8 = gravity\ in\ metres\ per\ second\ per\ second
3600 = seconds\ per\ hour
1852 = metres\ per\ nautical\ mile
6076.12 = feet\ per\ nautical\ mile
...
...
or just use ~ three degrees/sec,~180 degrees/minute or ~20-22 degree bank,
whichever is easier for you.
~~~
Base your turns on the bombers course and maintain two headings; 45 deg to the right and 45 deg to the left of bomber course.*
Leads should wake up their fli ... erm, notify their flight when the turn is made. (Ex: "... to the left now ...")
Falcon
* Your results may vary, open at your own risk, many will enter, few will win, some parts are edible, not available in Montana, Florida or North Malden.