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#221
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Myth: 1 G barrel rolls are impossible.
Poor misunderestanding boy. Consider the cirumstance when the moon's
shadow is cast on the earth. Every movement then, until it's 90 degrees displaced, has an acceleration component away from the sun. For that matter, 180 degrees later, when it lies along the earth path, moving toward the moon, it has an acceleration vector with a component away from the sun. Basic mechanics. Heavens, I teach psych, and know this stuff. |
#222
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Myth: 1 G barrel rolls are impossible.
On Jun 11, 1:09 pm, Jim Logajan wrote:
Myth: It is impossible to perform a barrel roll such that the pilot feels exactly 1 gee of force perpendicular to the floor of the cockpit. (Barrel roll is defined here as the maneuver depicted by the definitions and diagrams on these website:http://en.wikipedia.org/wiki/Barrel_...arrel_roll.jpg) Fact: The aspect that I think appears to mislead people is the presence of a gravitational field and an implied requirement that the axis of the helix must remain straight and parallel with the (flat) ground. But the latter requirement can be dispensed with and still yield a recognizable helical flight path - and that is enough to make a 1 gee barrel roll possible. The "trick" is accomplished by superimposing two equations of motion: (1) Start with a "zero gee" parabolic trajectory. So basically the plane travels laterally over the ground while first traveling up (and then down) such that the pilot would feel weightless absent any other motions. The arc is a classic parabola. (2) Superimpose by vector addition the centrifugal force of the plane "flying" a circle around (and along) the moving center established by the parabolic trajectory in (1). (3) Set the radius and angular speed of the circle in (2) to yield one gee equivalent force and rotate plane's attitude to keep the centrifugal force vector perpendicular to the floor. End of procedure. A reasonable nit pick is that the axis of the helix of the barrel roll doesn't remain "straight and level." But none of the definitions explicitly state that requirement. And in any case, it is possible to end the 1 G barrel roll at the same altitude at which it began. So there. :-) (If there is a demand (and I can find more time) I can work out and post the complete set of equations of motion.) The answer to your question as you ask it is no. You can not perform a "Barrel roll" and maintain 1 G. We all have 1 G pressing on us as we are sitting at our desks, or flying straight and level in an airplane. To perform a barrel roll, you pick a point 20 degrees off heading (usually to the left in aircraft with US engines). You then must execute the beginings of a loop by applying back pressure on the stick. You can not do this without adding additional G forces. You should be at 90 degrees bank when you are just over the point you selected 20 degrees off the origional heading. As you continue the roll, you will be at a point 40 degrees off the origional heading when you have completed 180 degrees of roll and your wings should be level with the horizion in the inverted position. As you continue the roll the nose of the aircraft will be 20 degrees below the horizion and at a 90 degree bank when you are back at the point 20 degrees off the origional heading. You now continue the last quarter of the roll while "pulling" to wings level - again you can not do this without adding G. I have done thousands of barrel rolls - and have done them with open bottles of water on the dash - same principle as swinging a bucket of water over your head and not spilling any. As long as you keep positive "G" (not gee) force on the plane - the water will not spill - let it go negative and you will have a mess. If the question you are asking is can this maneuver be done by adding 1 additional G unit (now you would be at 2 G's) the answer is you could rotate around and probably not spill the water, but you would not execute what is considered a "Barrel Roll" - it would be more of a sloppy aileron roll where you end up lowing altitude from your origional position. A "slow roll" is one where the aircraft follows a straight line and if you are doing these on a horizontal line you will not keep "positive" G's on you and the aircraft. |
#223
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Myth: 1 G barrel rolls are impossible.
Mxsmanic wrote in
: El Maximo writes: Where is that defined? What type of standard orbit would pass through a planet's surface? One you would fly. Bertie |
#224
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Myth: 1 G barrel rolls are impossible.
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#225
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Myth: 1 G barrel rolls are impossible.
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#226
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Myth: 1 G barrel rolls are impossible.
Acceleration is defined as the rate of change of velocity. These
quantities are called vectors, not scalers, because there's a direction associated with them, but we don't need to worry about that right now. There are times when the moon is accelerating away from the sun. That does not mean its velocity is away from the sun, only that it is decreasing. If it is decreasing then it is accelerating in the other direction. Mechanics are not part of the psych courses, you're quite right about that. Never the less, the statement I made above is correct. Also, for what it's worth, I'm not a pilot, at least not in the certified sense. I probably get 50 hours of dual in a complex single a year though, flying with my husband, and yes I know how to, in a real airplane, fly a ILS approach under the hood to minimums and land. On Jun 18, 2:49 am, Mxsmanic wrote: writes: Poor misunderestanding boy. Consider the cirumstance when the moon's shadow is cast on the earth. Every movement then, until it's 90 degrees displaced, has an acceleration component away from the sun. For that matter, 180 degrees later, when it lies along the earth path, moving toward the moon, it has an acceleration vector with a component away from the sun. As I've said, plot the actual paths around the Sun. You'll see that the moon's path is always concave to the Sun, that is, it is never accelerating away from the star. Heavens, I teach psych, and know this stuff. I didn't think that celestial mechanics was part of the psychology curriculum. |
#227
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Myth: 1 G barrel rolls are impossible.
SS2MO wrote
As you continue the roll, you will be at a point 40 degrees off the origional heading when you have completed 180 degrees of roll and your wings should be level with the horizion in the inverted position. How about 90 degrees off the original heading when inverted? Bob Moore |
#228
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Myth: 1 G barrel rolls are impossible.
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#229
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Myth: 1 G barrel rolls are impossible.
On 2007-06-18 07:01:05 -0400, Bob Moore said:
SS2MO wrote As you continue the roll, you will be at a point 40 degrees off the origional heading when you have completed 180 degrees of roll and your wings should be level with the horizion in the inverted position. How about 90 degrees off the original heading when inverted? Bob Moore This is exactly what is causing all the "confusion" on this thread concerning barrel rolls. Many manuals (yes, including the Navy) teach ballel rolls as a precision maneuver beginning from a specified entry and proceeding with exact heading changes desired at exact points in the roll. The 90 degree heading change at inverted is usually found in this "classic" description for the execution of a barrel roll. This is fine if learning to do a barrel roll in this manner is your goal, but no one in this thread should be misled into thinking that acheiving these heading changes is REQUIRED to execute a barrel roll. You can execute a barrel roll as tightly or as loosely as the airplane's flight envelope will allow. Putting out here that a 90 degree heading change, or ANY specific heading change at ANY point in the roll is a requirement for executing a barrel roll in an airplane is misleading and totally incorrect. Dudley Henriques |
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