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#1
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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_roll http://www.flightsimbooks.com/jfs/page74.php http://home.comcast.net/~john.schnei...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.) |
#2
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On Jun 11, 11:09 am, 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.) Did I miss some context? Was there a debate about this? There are videos on youtube of people doing barrel rolls with a cup of coffee in their lap. -robert |
#3
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"Robert M. Gary" wrote:
Did I miss some context? Was there a debate about this? There are videos on youtube of people doing barrel rolls with a cup of coffee in their lap. Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) So yeah, I think there is some need to clear the air. |
#4
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Jim Logajan writes:
Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. |
#5
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On Jun 11, 1:54 pm, Mxsmanic wrote:
Jim Logajan writes: Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. Bertie! He's doing it again!!!! |
#6
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On Jun 12, 9:00 am, wrote:
On Jun 11, 1:54 pm, Mxsmanic wrote: Jim Logajan writes: Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. Bertie! He's doing it again!!!! Well you have to admit where he does his 'aerobatics' he is under 1g constantly ROTFL Where we do aerobatics its somewhat different as we do them in aeroplanes... |
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#8
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Mxsmanic wrote:
Jim Logajan writes: Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. With any luck your monitor will fall on you. |
#9
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Mxsmanic wrote:
Jim Logajan writes: Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. Sigh. Yes, the force that is felt is greater then one g-force at the beginning and end of the maneuver. But that is not the case "during the roll" itself. Again, as in the other post of yours I responded to, you appear to be confusing force and acceleration. |
#10
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The few that I've done, and it is only a few, the g forces were noticeably
less at the top of the roll. I was still pressing into the seat, but not as much. Just as in a loop, the g forces are lower at the top of the loop. mike "Jim Logajan" wrote in message .. . Mxsmanic wrote: Jim Logajan writes: Most everyone agrees that keeping the coffee in the cup is possible. What some people don't seem to believe is possible is that the force felt by the pilot (or tea/coffee) can be 1 gee during the entire roll. They believe it has to vary during the roll. I'm hesitant to name names. ;-) It has to vary during the roll, because the constant 1 G acceleration due to gravity does not change. The net acceleration of the aircraft must always be at least one G in consequence, and if the aircraft begins a climb or ends a descent, it _must_ be greater than +1.0 G. Sigh. Yes, the force that is felt is greater then one g-force at the beginning and end of the maneuver. But that is not the case "during the roll" itself. Again, as in the other post of yours I responded to, you appear to be confusing force and acceleration. |
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