Sciencemadness Discussion Board

Balloons, and Principle of Equivalence

annaandherdad - 4-3-2015 at 10:22

This is really physics more than chemistry, but it's simple and I think very interesting. I put it in Miscellaneous because I wasn't sure where else to put it.

Of course hydrogen or helium balloons rise to the ceiling. Try putting one in your car. Let it rest on the ceiling. Now step on the gas (accelerate). Your change on the dashboard will slide back, but the balloon will move forward. From the standpoint of a stationary observer on the sidewalk, the balloon will accelerate forward faster than the car itself. I find it a little unnerving to see it.

Likewise, when you hit the brakes, everything in the car lurches forward, except the balloon, which lurches toward the back.

Or go around a corner, say, turn right. All your change on the dash will slide left, but the balloon will move to the right.

Of course none of this is really any more strange than the fact that the balloon rises instead of falling when released. But I find it strange and fascinating to actually see it do these things in an accelerating car.

The phenomenon obviously has a relation to the principle of equivalence, but in detail seeing how it works out takes some thought. The POE says that an accelerated frame is equivalent to a gravitational field in its physical effects. This is fairly trivial when applied to Newtonian mechanics but leads to nontrivial results when applied to electromagnetism, where it predicts that light is bent by a gravitational field. But the basic idea is, if balloons rise in a gravitational field, and if an accelerated frame is equivalent to a gravitational field, then the ballon should move in the direction opposite the effective gravitational force (eg, toward the center of curvature in circular motion, like when making the right turn in the car).

In more detail, the fact that the balloon rises in an atmosphere of a heavier gas in a gravitational field can be regarded as due to the fact that the air pressure is higher lower in the gravitational field than higher up; therefore, the force from the air pressure pushing up on the bottom of the balloon is more than the force pushing down from the top. If this difference is greater than the weight of the balloon (assumed here) then the balloon rises.

If the car were sealed so that it could not exchange air with the outside, then when you turn the corner the effective gravitational field causes a gradient in the air pressure in the car, with higher pressure on the side opposite the center of curvature (in the case of the rotating frame, the right turn of the car). And the pressure difference between the two sides of the balloon moves it.

Of course, the car is not sealed, so air is coming in or going out of the cracks, responding to pressure differences. This obviously complicates the situation, but the fact that the balloon responds as it does means that the pressure gradient actually does exist inside the car.

I just thought this was so interesting and easy to see that I wanted to share it.

[Edited on 4-3-2015 by annaandherdad]

Zombie - 4-3-2015 at 22:56

No way!

I just tried this on my hardtail, and the balloon is gone.

I'd have to see this in action.

If you were in a plane, and taking off... The balloon would go to the cockpit?

careysub - 5-3-2015 at 06:54

Quote: Originally posted by annaandherdad  
...The phenomenon obviously has a relation to the principle of equivalence, but in detail seeing how it works out takes some thought. The POE says that an accelerated frame is equivalent to a gravitational field in its physical effects....

[Edited on 4-3-2015 by annaandherdad]


I have encountered similar statements in the non-technical literature about the Einstein Equivalence Principle (there is the weak form from Galileo), but I think that the description may be incorrect.

The statement in Wikipedia under Einstein Equivalence Principle is I think correct:
"The outcome of any local non-gravitational experiment in a freely falling laboratory is independent of the velocity of the laboratory and its location in spacetime."

It is really a statement about an unaccelerated frame of reference, sort of the inverse of the gravity and acceleration equivalence description.

A key reason that the "accelerating" (as opposed to free-falling) elevator description is inaccurate is that in all of the cases encountered in the real Universe you can tell the difference between gravity and acceleration. An instrument that will do this is called a differential gravimeter or gravity gradiometer.

In an accelerating elevator frame of reference the strength of acceleration is everywhere the same. In a real gravity fields the strength of the field drops with distance from the center of mass, even taken at a mathematical point there exists a gradient in the gravity field that does not exist in the accelerated FOR.

Morgan - 5-3-2015 at 07:11

A balloon demo tidbit.
A Baffling Balloon Behavior - Smarter Every Day 113
https://www.youtube.com/watch?v=y8mzDvpKzfY

Zombie - 5-3-2015 at 07:44

Thanks for posting that Morgan.

The simple explanation makes sense, ie: heavier air displacement.

Oscilllator - 5-3-2015 at 17:41

Quote: Originally posted by Zombie  
Thanks for posting that Morgan.

The simple explanation makes sense, ie: heavier air displacement.

This effect can be demonstrated without use of a car using a spirit level of the kind that builders use. the bubble of the spirit level moves backwards as you accelerate the level forwards.
I used one of these to demonstrate this effect to my physics teacher, as she (and the rest of the class) didn't believe me.

Zombie - 5-3-2015 at 18:06

It is a slick effect.
Reading the long explanations I was still shaking my head.

Put me in a car going to get candy??? I got it instantly

Molecular Manipulations - 5-3-2015 at 20:32

You're wrong. I just tried it on my motorcycle, the ballon just went up. Then in my convertible, same thing. Afterwards I did it in my pickup, it worked just like you said. This is why I'm failing physics, it's just so damn inconsistent!:D

[Edited on 6-3-2015 by Molecular Manipulations]

Zombie - 5-3-2015 at 22:18

It's the black hole in the center of our galaxy.

It sucks up all the balloons. The roof of the truck provides a gravitational shield.;)

Please don't ask for Citations. My dogs ate them.

Molecular Manipulations - 5-3-2015 at 22:57

That's a good explanation, helium balloons act like quantom particals, they don't follow Newtonian physics like the old air balloons do. That's why I'm investing in helium, when the rest of the universe gets sucked into the singularity, my balloons will be orbiting the black hole just inside of the event horizon.

Zombie - 6-3-2015 at 11:23

Bring beer!

You will have the best vista in the galaxy! :cool:

Dr.Bob - 6-3-2015 at 11:29

I had a college roommate that liked to explain to non-scientists that the reason light bulbs (the old incandescent kind that did burn out often) stopped working is that they would fill with darkons, which are the particles of darkness that make it dark. Once the darkon collector (bulb) was full, it could not collect darkness any further, and thus stopped working. He convinced a number of people (many were blond females...) of that, many of whom likely baffled their physics teachers later in their studies. I always thought it was an amusing concept, and still mention that when a bulb burns out, which is rarer now. Almost as good as the petitions to ban dihydrogen monoxide.

Molecular Manipulations - 6-3-2015 at 11:30

And the only vista in the non-existent universe! I guess the balloons can hold up a can or two, absolute EtOH would be more conservative.
Maybe I could float on the Blazar's relativistic (astrophysical) jet, that would be a sight...

Zombie - 6-3-2015 at 11:33

Bert posted up a long explanation of how "Dark Suckers" work.
It was funnier that hell.

He convinced me it's true! ;)

Praxichys - 6-3-2015 at 11:36

Someone needs to add weights to a helium balloon until it is just barely floating, and then take it into an elevator.

Then watch as people are baffled when the balloon sinks when the elevator descends. Explain about the darkons, etc.

Zombie - 6-3-2015 at 12:57

Quote: Originally posted by Praxichys  
Someone needs to add weights to a helium balloon until it is just barely floating, and then take it into an elevator.

Then watch as people are baffled when the balloon sinks when the elevator descends. Explain about the darkons, etc.



Now that you mention it, I have seen that happen in the Trade Center elevator.

My daughters B'day.

Funny the things that come back to you.