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if my calculations are correct.....

SLINKY + ESCULATOR = EVERLASTING FUN
[36 byte] By [NavyUSA] at [2007-11-15 19:01:24]
# 1 Re: if my calculations are correct.....
Timing is everything....
jwri004 at 2007-11-17 14:02:10 >
# 2 Re: if my calculations are correct.....
the escalator would have to be moving at a pretty good clip...
hardeeharhar at 2007-11-17 14:03:12 >
# 3 Re: if my calculations are correct.....
until the nasty horrible death when the slinky got jammed in the cracks in the escalator. Has anyone ever stretched a slingy out straight? How Long?
powermacG6 at 2007-11-17 14:04:12 >
# 4 Re: if my calculations are correct.....
2*pi*r*L where r is the radius of the coil and L is the number of stacked coils.
Scott at 2007-11-17 14:05:06 >
# 5 Re: if my calculations are correct.....
Originally posted by Scott
2*pi*r*L where r is the radius of the coil and L is the number of stacked coils.

That is clearly wrong, because you havn't allowed for the fact that each coil is not planar. Try again.
powermacG6 at 2007-11-17 14:06:16 >
# 6 Re: if my calculations are correct.....
I'm sure it's close enough;) Calcualte how much extra lenght you'ld need of the offset were the width of the wire.
Scott at 2007-11-17 14:07:16 >
# 7 Re: if my calculations are correct.....
I like the concept, but I fear that the escalator would likely eat the slinky, unless you were superb with your slinky skills.

didn't I already respond to this thread when it first dropped? guess not :\

Another thing I'd like to do is ride a wheeled something(bicycle, skateboard, scooter, unicycle) on one of those horizontal escalator dealies at airports.
Wrong Robot at 2007-11-17 14:08:09 >
# 8 Re: if my calculations are correct.....
Originally posted by powermacG6
That is clearly wrong, because you havn't allowed for the fact that each coil is not planar. Try again.

Clearly there is also the issue that unless you are heating the coil it will never be straight...
hardeeharhar at 2007-11-17 14:09:15 >
# 9 Re: if my calculations are correct.....
Here's an alternative method.

Determine the mass m. Determine the cross sectional area of the wire, A. Knowing the density p.

L= m/Ap.

QED
Scott at 2007-11-17 14:10:12 >
# 10 Re: if my calculations are correct.....
Originally posted by Wrong Robot

Another thing I'd like to do is ride a wheeled something(bicycle, skateboard, scooter, unicycle) on one of those horizontal escalator dealies at airports.

Hmm. I want to do that too! Great idea.
monkeyastronaut at 2007-11-17 14:11:12 >
# 11 Re: if my calculations are correct.....
given small enough wheels you might be able to stay vertical if you peddled just enough to break friction.
hardeeharhar at 2007-11-17 14:12:21 >
# 12 Re: if my calculations are correct.....
Originally posted by Wrong Robot
Another thing I'd like to do is ride a wheeled something(bicycle, skateboard, scooter, unicycle) on one of those horizontal escalator dealies at airports.
The problem is you'd be tackled, beaten, arrested as a terrorist, thrown in jail, and give a full body cavity search while your bicycle was being x-rayed then sliced into tiny pieces in a search for explosives.

Not that there's anything particularly scary or threatening about a bicycle in an airport, but these guys just don't have much of a sense of humor anymore.
shetline at 2007-11-17 14:13:20 >
# 13 Re: if my calculations are correct.....
Originally posted by Scott
Here's an alternative method.

Determine the mass m. Determine the cross sectional area of the wire, A. Knowing the density p.

L= m/Ap.

QED

That is clearly wrong!;)

You havn't allowed for the fact that density is dependant on temperature:lol:
powermacG6 at 2007-11-17 14:14:15 >
# 14 Re: if my calculations are correct.....
Originally posted by powermacG6
That is clearly wrong!;)

You havn't allowed for the fact that density is dependant on temperature:lol:

Trivial

L(T)=m/A(T)p(T)

QED
Scott at 2007-11-17 14:15:23 >
# 15 Re: if my calculations are correct.....
what is the answer then?;)
powermacG6 at 2007-11-17 14:16:16 >
# 16 Re: if my calculations are correct.....
Originally posted by Scott
Trivial

L(T)=m/A(T)p(T)

QED

Heh. Assuming that the thermal expansion of the material is the same in all directions, A(T)= p(T) (V(T1)*A(T1)/m) where the V(T1) and A(T1) are the volume and cross sectional area of the slinky at a given temperature T1, respectively.

This gives:

L(T)= m^2/(p(T)^2 *(V(T1)*A(T1)))

Of course this is assuming that the added mass energy from heating is negligible -- which as we know is an invalid assumption when discussing an infinitely long slinky, which we clearly are...
hardeeharhar at 2007-11-17 14:17:20 >
# 17 Re: if my calculations are correct.....
Originally posted by powermacG6
what is the answer then?;)

A slinkyllion inches. :D
monkeyastronaut at 2007-11-17 14:18:27 >
# 18 Re: if my calculations are correct.....
Infinitely long? :?: We're trying to estimate the length of a manufactured slinky.

Why don't we come to a consensus on the level of error we're willing to accept and that will help guide us on how complex our model needs to be? I think if we were within a centimeter that would be good.

I'll contact the manufacture to see of we can get several hundred for destructive testing.
Scott at 2007-11-17 14:19:21 >
# 19 Re: if my calculations are correct.....
I was joking -- all we need is the volume and the cross sectional area...
hardeeharhar at 2007-11-17 14:20:21 >
# 20 Re: if my calculations are correct.....
about 63 feet.
hardeeharhar at 2007-11-17 14:21:22 >
# 21 Re: if my calculations are correct.....
I would cut out a 1" section and put it on a scale. then i would put the slinky on the scale.

if 1"=.007oz and the slinkey is 12oz than 12/.007 = lenght of the slinky
agallant at 2007-11-17 14:22:29 >
# 22 Re: if my calculations are correct.....
I would sit down with a hamburger and a soda and start unwinding the slinky during lunch, gamely trying to force straightness out of a hardened, flattened, coiled wire. I would get ketchup everywhere, I would knock over my drink by accident several times and I would cuss. Oh how I would cuss. It's likely that I would at some point cut myself, and very possible that I would throw it down and jump up and down on it, eventually.

Any measuring I might accomplish would be cursory and half-hearted, and I would surely forget the length by the time I arrived back at the Burger Doodle to buy the chocolate milkshake designed to calm my nerves and sooth my ass-kicking by a child's toy.

QED
drewprops at 2007-11-17 14:23:27 >
# 23 Re: if my calculations are correct.....
someone's been reading bash.org
thefamousmred at 2007-11-17 14:24:27 >
# 24 Re: if my calculations are correct.....
ummmm, I haven't. What is it? (yes, I went there to look but couldn't figure it out). What IS it?
drewprops at 2007-11-17 14:25:29 >
# 25 Re: if my calculations are correct.....
You guys are so sssssuper! :wow: :err:
NavyUSA at 2007-11-17 14:26:34 >
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