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What is the physics behind the following photo?

Someone had told me that this is because the aircraft might be moving towards a lower altitude, but I am still not sure.

Enter image description here

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The aircraft is, most likely, performing a barrel roll. There's a video on YouTube of Bob Hoover performing the same stunt. – David Richerby Mar 2 '14 at 15:58
Also, Google on "707 barrel roll" to see a similar photo... – DJohnM Mar 3 '14 at 0:55
@DavidRicherby A looping would be more likely, I think. – André Mar 3 '14 at 14:10
For my answer to be correct...I'd like to ask you that do you feel any thing like to be upside-down ?(maybe blood reaches in your head) OR do you feel like being pushed to seat ? – Mukul Kumar Mar 3 '14 at 17:11
Also, Google on "do a barrel roll" to see a similar demonstration. – FGreg Mar 4 '14 at 1:25
up vote 20 down vote accepted

Great photo!

Edit: My language is "sloppy" (I like talking physics in "lay person" terms so anybody can understand) but @dcmkee made really nice comment clarifying my answer for the more advanced people. Thanks @dcmkee!

Since the plane is in a loop there is significant g's due to centripetal acceleration. The water was being accelerated upward$^{1}$ with a high velocity then the plane keeps "looping" and the water tends to want to stay in the same direction (upward) and so the water gets released upward! While the plane/start moving horizontally. Its just the plane and people are moving in a way that are essentially "falling" faster than water so it seems (or feels to the people in the plane) that gravity is actually pulling them upwards. Essentially the loop essentially created 2g's of gravity in the upward direction so water pours upward just as it would on earth. (2g's upward minus the one g downward of earth equals a net g upward).

1 By accelerated upward I mean it was initially traveling horizontally then changed its direction upward (if uniform circular motion then its purely centripetal acceleration).

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Correct answer, really sloppy language. That water is falling normally (that is it is not being "accelerated upward" in an inertial frame), it's just that the plane is being accelerated downward faster than usual falling. – dmckee Mar 2 '14 at 16:38
@dmckee Thank you for the comment! This will be very useful for future users. Sorry for the slop. I edited my answer slightly. Were you referring to my grammar, or my physics terms/lingo? I try to answer these so anyone (even without any physics background)can understand. Thanks again – jerk_dadt Mar 2 '14 at 20:26
Also, I think you'll find that centripetal acceleration is in the opposite direction of what would keep the water in the cup. – Brian Gordon Mar 3 '14 at 13:15

It doesn't actually have anything to do with the plane being upside down, or even changing from a vertical direction to a horizontal one. It's purely the vertical velocity that's at play here.

Imagine water being thrown upward. You know what, imagine a fountain, a really big fountain. As soon as the water leaves the underground pump, it starts falling back down to the ground, even if it's still moving upward at first. Now imagine the plane, moving straight down. And it's accelerating, so it's "falling" faster than the water can. That means the water is moving relatively upwards to the plane, even if it's really falling.

And it doesn't really matter if the water was pumped up from the ground, or if it was transported up by the plane; its behaviour regarding the gravity is still the same.
So the water is still moving up, while the plane is already moving down, because the plane has an engine while the water doesn't.

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Great answer! However, the question asks to explain the physics of the picture which seems to be during the vertical loop. I like your insight to the question. It will surely be useful to the OP and future users. Cheers! – jerk_dadt Mar 2 '14 at 23:23
@MrLister Take care, you are mixing some aspects, even if your second paragraph is clear and exact: it's not a question of velocity, but of acceleration. Moreover, the water here is really moving down, in Earth's referential, but the plane is moving down with a bigger acceleration. And, no engine is needed from the aircraft, as the picture shows (it's a glider !) ;-) – Joël Mar 3 '14 at 15:37
@Joël Interesting; I hadn't noticed that the plane was a glider. Anyway, you're right about the acceleration, but the water (and the plane) does not need to be physically moving downwards (relative to the planet) as long as the plane is accelerating faster than the water. – Mr Lister Mar 3 '14 at 17:58
You really want to fix this answer - you state "it's purely the vertical velocity that's at play here", yet you agree yourself in the comment that that's wrong - it's the acceleration, not the velocity, that matters. And it has nothing to do with an engine either. We have the ability to edit answers (which are "permanent") in the light of comments (which are "temporary") so the final record of your answer will be the best you can make it. – Floris Sep 2 '14 at 9:34

At the moment the picture was taken the plane, with mass $M$ was performing an inside loop, and was almost exactly inverted. It was moving at a speed $V$ in a vertical circle with radius $R$; both of these are chosen by the pilot as he execute the loop.

The physics of circular motion requires that the plane experience a force towards the centre of the circle, $F_c$, given by:$$F_c=\frac{MV^2}{R}$$At the moment of the photograph, this required inward force is also a downward force. The downward force of gravity could have been just enough to supply this centripetal force (see Vomit Comet) but in the circumstances of the photo, an additional downward force was needed. It was supplied by the air acting against the wing and its control surfaces, as adjusted by the pilot.

This inward force was transmitted through the structure of the aircraft, the seat, the pilot's body, arm, and hand to the bottle and its contents, so everything was moving in the same circle.

Then the pilot tipped his hand, the water moved, went out the neck of the bottle, and was in free fall. No extra force from the wings, just gravity. But the cup was experiencing both the force of gravity and the wing force (through the pilot's other hand), so the cup accelerated downward more quickly than the water, caught up with the water, and contributed a downward force to the water, so the water stayed in the cup for the rest of the loop.

Or it was Photoshopped :)

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it looks legit by looking at the body position of the pilots – Aksakal Mar 3 '14 at 0:46
Joke mode was ON for the last sentence... – DJohnM Mar 3 '14 at 0:47
right, but it's a valid point, actually. it's possible that it was doctored indeed. – Aksakal Mar 3 '14 at 0:49
not photoshopped, very common aircraft maneuver ;) – flyingfisch Mar 4 '14 at 2:25
This is a very precise description of what is happening. Gets my vote. – Floris Sep 3 '14 at 4:20

the physics is the same as to why the pilot and passenger are not suspended on their seat belts: they're pressed to their seats by centrifugal force, the same force that makes water fall upwards

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Centripetal forces push things towards the center of circular motion, not away from them. You're thinking of the (fictitious) centrifugal force. – user27578 Mar 3 '14 at 1:06
@dgh, it wasn't me! The Machine (Community) has changed my answer to centripetal. but you're right, it's a bit tricky of a concept. – Aksakal Mar 3 '14 at 1:10
Perhaps "inertia" is a better term than "centrifugal force". – Cees Timmerman Mar 4 '14 at 11:37

Actual aircraft attitude (inverted with respect to the ground, in this case) is irrelevant. All that matters is that for the few moments long enough to pour the water and snap the picture, the aircraft is experiencing some positive g-load (pilot feels that he is pushed into his seat). The aircraft could be in a barrel roll or a loop. Either way, it is in that moment accelerating toward the ground at something greater than 1g (free fall plus enough extra to help the water pour). The illusion of water pouring upwards comes from the fact that you are looking at a static image of the event and inferring (incorrectly) that the aircraft is in straight and level inverted flight, which it isn't (disproven by the direction the water is flowing).

The truth of the situation might be a bit better revealed by seeing a full-motion video instead of a single static frame, better still to see the flight path of the aircraft from the outside.

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A well executed barrel roll maintains the force balance you experience at rest with "gravity" oriented in the direction you experience as "down" (that is the direction from your head to your feet) due to centripetal acceleration. If you weren't looking outside, you might not realize the roll even took place (if the pilot is good).

For those not convinced by the still photo, see this youtube video for a demonstration. In this video Bob Hoover demonstrates both a still glass of iced tea and a pitcher pouring into a glass of iced tea while rolling the airplane.

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protected by Qmechanic Mar 3 '14 at 1:22

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