Planeboy_777
Please dont question me...just substitute the values in correct units and get the answer....
As you grow older you will find that interaction with other people frequently results in them questioning you. They're not trying to be offensive, it's just the way that things are. Unless you can come to terms with this simple fact of life you are destined to have serious relationship problems in the future.
You have stated that
1.666 x theta(deg) x Groundspeed(kts) = ROD(fpm) [[[[[For any GPA]]]]]
OK let's try it out for 45 degrees descent at 100 knots groundspeed.
If you sketch it out you will find that the ROD is equal to the groundspeed.
1 knot x 6080 ft/hour
Multiplying this by 1 hour / 60 minutes converts this into 101.3 ft/minute
multiplying by 100 knots gives ROD = groundspeed = 101.3 x 100 = 10130 ft/min.
So at 100 knots in a 45 degree glide our ROD = 10130 ft/min
Now let's try your formula
ROD = 1.66 x descent angle in degrees x groundspeed.
ROD = 1.66 x 45 x 100 knots groundspeed = 7470.
There is a considerable difference between 10130 ft/min and 7470 ft/min.
As I said in my earlier post, yout factor of 1.66 is Ok for 3 degrees, but becomes increasing less accurate as the angle increases.
Your definition of %gradient based on radians is Ok for maths exams, but in this forum we are tallking about aviation. A number of ATPL questions ask for the definition of %climb gradient. The correct answer is ROC/GS.
I have never yet seen an option involving radians in such questions.