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Air Show Math
Vanity | 14 Sept. 2014 | Rey

Posted on 09/14/2014 8:19:53 PM PDT by rey

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To: rey
Hmmm, thinking waaay back to college physics.

Consider looking into Newton's second and third laws, especially as to how they relate to thrust from jet and rocket motors.

Second law is, generally, f = m.a , and the f is thrust.

Third law (again, generally) is for every action there is an opposite reaction; and, for straight line thrust in one direction, there is force in the opposite direction.

Any physicist reading this is welcome to make corrections and amplifications, btw.

Again w physics, there is lots to a turbojet engine... compressor stages, spools, ignition cans, turbines...Some aviation museums have very nice cutaways.

.

41 posted on 09/14/2014 10:35:30 PM PDT by Seaplaner (Never give in. Never give in. Never...except to convictions of honour and good sense. W. Churchill)
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To: dr_lew

Dr. Lew, not to quibble, but an “airfoil” is presumed to have one of a number of quintessentially teardrop, although not necessarily symmetrical, shape. A catalog (obviously incomplete) of such shapes was once published as “Theory of Wing Sections - Including a Summary of Airfoil Data”. (Dover, 1949)

Nowhere in this volume is a rectangular or “plank” section described or presented as an airfoil, nor was data thought to be important enough to publish.

You may be alone as describing a “plank” section as an airfoil and I may be alone (although I suspect that I am not) in proving that it can function as one.


42 posted on 09/14/2014 10:51:11 PM PDT by John Valentine (Deep in the Heart of Texas)
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To: Seaplaner
Second law is, generally, f = m.a , and the f is thrust.

F is the net force on the object, or aircraft from all sources. This includes thrust, gravity, and the "force of the air on the wings".

Typically, for a plane in level flight, the horizontal component of the force is taken to comprise the thrust and the drag, which must be equal and opposite at constant speed. The vertical component component comprises lift and the force of gravity, which must likewise be equal and opposite in level flight.

43 posted on 09/14/2014 10:51:37 PM PDT by dr_lew
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To: miele man

for later consideration


44 posted on 09/14/2014 11:25:07 PM PDT by miele man
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To: Yosemitest

Its the trim tab on jimmy lewards plane that broke causing the elevator to move in the full up position.You can see that its missing in the picture.I believe that picture is when the aircraft unloaded at the top headed back down to its impact with the ground.


45 posted on 09/14/2014 11:30:30 PM PDT by HANG THE EXPENSE (Life's tough.It's tougher when you're stupid.)
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To: John Valentine
Valentine & Hydrazine - raising the issue of how the angle of incidence (wing to fusalage) producing a displacement effect brings to mind a fact about the development of the Navy's A-4 carrier attack jet.

A debate was raging about the shape of the wing, and one of the lead engineers reportedly fitted a piece of flat plywood, cut to a triangle the size of the proposed wing, to the clamp in the wind tunnel and it produced every bit as much lift as any “engineered” design. All displacement lift.

An example of displacement lift can be found in aerobatic wings, sometimes with curved upper and lower portions that are equal.

46 posted on 09/14/2014 11:56:04 PM PDT by Ace's Dad (Proud grandpa of a "Brit Chick" named Poppy Loucks (Call sign "Popsickle").)
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To: HANG THE EXPENSE

You’re correct. Click on that link and you’ll read, in that whole thread, my detailed post on it.


47 posted on 09/15/2014 12:26:53 AM PDT by Yosemitest (It's Simple ! Fight, ... or Die !)
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To: rey

You are a cool dad!


48 posted on 09/15/2014 1:31:52 AM PDT by not2be4gotten.com
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To: rey

Computational Fluid Dynamics (CFD)

http://en.wikipedia.org/wiki/Computational_fluid_dynamics


49 posted on 09/15/2014 2:49:35 AM PDT by equaviator (There's nothing like the universe to bring you down to earth.)
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To: rey

Study density altitude and why it is an important matter of safety to consider. The less air density, the less lift, of course, and this can be calculated.

Related to this is calculating an aircraft’s ceiling. Discuss why one type of airplane has a ceiling of, say, 25,000 ft while another airplane might have a ceiling of, say, 14,000 ft. Why will the airplane rated for 14,000 ft never be able to fly at 25,000 ft, even if it were legal and the pilot had extra oxygen?

Find out the maximum altitude beyond which extra oxygen is required.

List some VFR conditions and some IFR conditions.

The sound barrier at sea level vs the sound barrier at 20,000 ft. 30,000 ft.


50 posted on 09/15/2014 3:31:05 AM PDT by Wilhelm Tell (True or False? This is not a tag line.)
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To: Jet Jaguar; Chode

51 posted on 09/15/2014 3:34:54 AM PDT by Rodamala
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To: rey

bkmk


52 posted on 09/15/2014 4:28:12 AM PDT by spankalib ("I freed a thousand slaves. I could have freed a thousand more if only they knew they were slaves.")
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To: Rodamala
pretty much
53 posted on 09/15/2014 4:43:40 AM PDT by Chode (Stand UP and Be Counted, or line up and be numbered - *DTOM* -vvv- NO Pity for the LAZY - 86-44)
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To: rey

Combine trigonometry with elementary calculus, you know just derivatives which are quite easy and formulaic, but very useful to understand — just velocity, acceleration, impulse, position.


54 posted on 09/15/2014 4:47:08 AM PDT by Usagi_yo (I don't have a soul, I'm a soul that has a body. -- Unknown)
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To: rey
I did not do well in school and struggled through college, but when I started teaching her, things became clearer, I was able to fill in the holes in my education and teach myself what I never fully understood.
When I encountered the issue of home schooling here on FR, I had to think it over before I came to support it. And the thought that first tipped me into the positive camp on the issue was exactly what you say above - even if somehow you had found that home schooling your particular child proved not to work out, a lot of learning would have still occurred. What is wrong, in principle, with adults getting educated??

If some adult, black let us say, has a poor education behind her or him, it would be tempting to say that the “experts” known as credentialed teachers need to take over. But that is precisely where the adult’s poor education came from in the first place. Thus, the Einstein definition of insanity seems to apply. Let the parent undertake the teaching role if s/he will. In the worst case, at least s/he will learn something!

The books available now are great. Danica Mckellor’s books though having too much boyfriend stuff in them are a help. There are some great you tubes and the Kahn academy is fantastic.
. . . and again, when thinking about home schooling I hoped and expected that burgeoning Personal Computer availability and capability would lead (tho I had no concept then of the wonderful Khan Academy YouTube instructional video that would come available later) to significant help for home schoolers. Congratulations!
Now as to your actual question:
I speculate that you and your child would be able to do impulse-momentum calculations with no great difficulty. I never studied aerodynamics much, tho I worked as an engineer for an aircraft manufacturer. But the big picture of what happens when an aircraft flies is that the aircraft extracts the lift and thrust it needs from the air in which it is immersed, and that it does so by changing the velocity of the air locally.

The thrust of a jet engine derives from the fact that it pumps the incoming air, hurling it backward at a higher speed than it came into the engine with. The actual thrust (which is impulse) can be calculated as the mass of air per second passing through the engine, times the change in velocity (which is the momentum) of that air. The impulse is equal to that change of momentum.

Likewise, the lift produced by the wing can only occur by knocking the oncoming air through which it passes downward. The lift of the wing is the impulse, and the mass times the velocity of the air it deflects downward is the change of momentum which causes the impulse.

In both cases, there is an efficiency advantage to be had if you can obtain your impulse by changing the velocity of a lot of air by a little bit. That is because it takes work to change the velocity of a mass - and the work required to do it goes up as the square of the change in velocity required, which is inversely proportional to the mass whose velocity is changed. (I know that could be a little technical for a ten year old).

Interesting topic, but I gotta run.


55 posted on 09/15/2014 5:07:48 AM PDT by conservatism_IS_compassion ("Liberalism” is a conspiracy against the public by wire-service journalism.)
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To: rey

Measure the pitch angle of a fixed pitch prop and have her calculate the design speed. That would give her trig and geometry a workout.


56 posted on 09/15/2014 5:13:14 AM PDT by Haiku Guy (Health Care Haiku: If You Have a Right / To the Labor I Provide / I Must Be Your Slave)
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To: rey

Any moving object lends itself to discussion of acceleration and vectors. You might also bring up the difference between the aircraft heading and its actual ground course where a substantial side wind is present. Then there’s the phenomenon of the “p-factor” which applies to center-thrust propellor aircraft at high attack angles.

Heck, you could have a field day just exploring the aircraft sitting on the ground!

She’s a lucky girl.


57 posted on 09/15/2014 5:49:44 AM PDT by IronJack
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To: rey

What a great job you are doing! Too bad she has to miss out on the socialization benefits of public school - lowest common denominator education, crime, bullying, and such.

(The home schooled granddaughter in my tag had verbal skills well-beyond most adults when she was 12 and excels at Latin.)


58 posted on 09/15/2014 6:11:16 AM PDT by jimfree (In November 2016 my 14 y/o granddaughter will have more quality exec experience than Barack Obama)
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To: rey

If you join Civil Air Patrol as an educator, they will send you a huge box of educational materials for whatever age/grade you request. The cost to join is 35.00 and it is well worth it. Their educational materials are really good.

Mrs. AV


59 posted on 09/15/2014 6:45:58 AM PDT by Atomic Vomit (http://www.cafepress.com/aroostookbeauty/358829)
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To: smokingfrog

If plane B is AF 1 then never. Too many golf courses between NYC and LA.


60 posted on 09/15/2014 6:48:55 AM PDT by Resolute Conservative
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