OutsideTheBox
asked on
rotational velocity question
Hi everyone,
I'm working on an Artificial Intelligence algorithm for a hobbyist video game project involving aircraft. I'm trying to figure out how to limit my aircraft pitch rotational velocity (radians per second) by G-force.
My fwd speed varies, my G force limit does not, let's say 10 to round it off.
As units of measure, I'm using feet, seconds, & radians.
If we can, let's ignore gravity,lift, drag & aircraft weight vectors effects at the moment so we can just concentrate on a apparent G-force as the aircraft pitches around a loop. (I know there would be one more g-force on the bottom of the loop and one less on the top due to actual gravity, but I'd like to ignore that factor at the moment).
Also, let's say the the pilot is very good & the rotational velocity is constant throughout the loop.
So all I know is my fwd speed in feet per second, and my desired Gforce-limit, I do not know the radius of the loop. Do I have enough information to determine rotational velocity? & if so, how?
Thanks
I'm working on an Artificial Intelligence algorithm for a hobbyist video game project involving aircraft. I'm trying to figure out how to limit my aircraft pitch rotational velocity (radians per second) by G-force.
My fwd speed varies, my G force limit does not, let's say 10 to round it off.
As units of measure, I'm using feet, seconds, & radians.
If we can, let's ignore gravity,lift, drag & aircraft weight vectors effects at the moment so we can just concentrate on a apparent G-force as the aircraft pitches around a loop. (I know there would be one more g-force on the bottom of the loop and one less on the top due to actual gravity, but I'd like to ignore that factor at the moment).
Also, let's say the the pilot is very good & the rotational velocity is constant throughout the loop.
So all I know is my fwd speed in feet per second, and my desired Gforce-limit, I do not know the radius of the loop. Do I have enough information to determine rotational velocity? & if so, how?
Thanks
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SOLUTION
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acceleration = v^2 / r
I'm assuming you're using meters, since you say G is 10.
So let's say you want to limit acceleration to 5G.
5G = v^2 / r
r = v^2 / (5G) = v^2 /50
Let's say v is 100 m/s.
r = (100^2) / 50 = 10000/50 = 200 m.
So the minimum radius would be 200m.
I'm assuming you're using meters, since you say G is 10.
So let's say you want to limit acceleration to 5G.
5G = v^2 / r
r = v^2 / (5G) = v^2 /50
Let's say v is 100 m/s.
r = (100^2) / 50 = 10000/50 = 200 m.
So the minimum radius would be 200m.
SOLUTION
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ASKER
Thanks guys, most points to ozo for quickness, Thanks to aburr for explaination, some points to Nova even though I wasn't looking for radius, it'll come in handy someday.
ASKER
since I'm solving for rotational velocity, I'll re-write as rv = a/fs
if my acceleration is feet/sec/sec & my fwd speed is feet/sec,
what units of measure will the result be? I'm assuming its ??/sec. Is it automatically radians unless converted to something else?