The following stuff in italics is old, and has been improved upon:
I'm sorry. I still couldn't get it to work dramatically.
my rough setup:
I got a copper tube and a PVC tube of approximately the same inner diameter (~3/4") and length (~4'6"). Then, I got ahold of two "identical" (designed to be identical) alnico cylindrical bar magnets of approximate dimension 2" x 1/3". I put a cushion on the floor to catch the magnets (sharp jolts to a magnet can demagnetize it, like if they just fall out the bottom end of a tube and hit the hard floor). I made sure the cushion was just hard enough so that I could hear the dull thud of the magnets hitting the bottom. I stood on a chair and held the tubes up vertically. As you may have noticed, this was all thrown together from scrap materials (other than the nice alnico magnets, fortunately, as they are the key ingredient in this demo).
my rough results:
In a nutshell, I got a difference of about 1/2 sec in fall time (more in the copper tube). I tried each tube with each magnet and both N and S poles facing down. It was always the same 1/2 sec longer in the copper tube. This is not dramatic enough for a class demo.
refinements:
I do believe that a stronger bar magnet is the key to improving this demo. I did not measure anything precisely, since the point is not to evaluate the physical process, but to evaluate the feasability of a class room demo (or personal intrigue). I did have one interesting experience that had not occurred to me previously. When I let the magnets fall, I held the tubes sometimes a little up off of the cushion, and I felt an unmistakable downwards tug in the copper tube. I will chaulk this up to Newton's third law.
Sorry for the disappointment, zooby. Maybe you can be a bit more serious than I was about it and try to get ahold of a really strong magnet.
All right! I did it, finally. I got a whoppin' 4.9 sec fall time through a 1.5 m aluminum tube! This magnet is ridiculously strong. I have no idea what it is - the mystery magnet. I'm too lazy to construct a test setup to evaluate the strength of this mystery magnet, but here are some examples:
- It can pick up a compass just by pulling on the needle inside.
- I picked up a metal stool with it by cradling it in a piece of paper and pulling up on the paper.
The magnet has one peculiarity. It is a rectangle of dimension:
3.25 x 1.70 x 1.05 cm, but the poles are on oposite sides of the 1.05 cm, very much unlike the "usual" bar magnet. The tube had inner diameter of 2.10 cm, so the magnet had to fall through with its poles facing sideways. Of course, Lenz' Law doesn't care, because, it's not the direction of the field, it's the direction of the gradient that matters.
For anyone who is curious and too lazy to do the calculation, I've done it for you: freefall time through the 1.5 m tube should be 0.56 s. I had to do the timing by hand with a stop watch, so I estimate a possible systematic error on the order of 100 ms (I only took 5 readings). I also dropped nonmagnetic weights through the tube, and they took between 0.6 and 0.8 s to fall the 1.5 m.
Here is the actual data:
TUBE
material: unkown, but most likely aluminum
length: 152.4 cm (measured with a 2-meter stick)
inner diameter: 2.10 cm (measured with an inner caliper)
outer diameter: 2.65 cm (measured with an outer caliper)
20 g WEIGHT
material: unkown, but most likely brass
length: 2.20 cm (measured with an outer caliper)
diameter: 1.40 cm (measured with an outer caliper)
fall times: 0.71 s, 0.71 s, 0.69 s, 0.68 s, 0.72 s
50 g WEIGHT
material: unkown, but most likely brass
length: 2.50 cm (measured with an outer caliper)
diameter: 1.90 cm (measured with an outer caliper)
fall times: 0.73 s, 0.72 s, 0.65 s, 0.76 s, 0.63 s
MYSTERY MAGNET
material: unkown
strength: uncharacterized
length: 3.25 cm (measured with an outer caliper)
width: 1.70 cm (measured with an outer caliper)
height: 1.05 cm (measured with an outer caliper)
fall times: 4.95 s, 4.92 s, 4.93 s, 4.86 s, 4.91 s