Some guy mentioned to me yesterday that prior to the SBA Dollar minting, the dime was the most economical way to carry coins. Meaning, a dime holds more value for it's space than any other coin.
So, how do you figure this out? Whether I'm right or wrong, it just seems that a roll of quarters ($10) would take up less space than a two rolls of dimes ($5 per roll).
Is anyone here smart enough to figure out how much volume each coin occupies?
Quote from: DemonchildrenOnTurf on August 25, 2005, 01:32:17 PM
Is anyone here smart enough to figure out how much volume each coin occupies?
Not me...my head hurts just from reading your post. :-[
(http://omega.pair.com/~jfield/goatbert/images/pancakerabbit.jpg)
Dimes are super-thin and very light. I don't care enough to find out the dimensions/weight of a dime/quarter (or a roll of them for that matter), but if someone says the dime is the most valuable coin (gram for gram), then sure.
i would say....
a stack of coins makes a cylinder (atleast close enough). measure the volume of the cylinder stack.
Cylinder Volume = pie x radius squared x height.
I have a gram scale.
Penny 2.5
Nickle 5.0
Dime 2.268
Quarter 5.670
Since 2 and a half dimes equal a quarter but weigh .02 grams less, dimes would be less weight.
(http://www.philadelphiaeagles.com/uploads/photos/perm/main/MKIELEHFCACM/082305-landeta3.jpg)
The best way to do it would be to get a graduated cylinder and fill it with say, 50CCs of water. Drop a roll of dimes in, subtract the difference, and multiply by 2.
Then do the same with the roll of quarters, the one with the smaller number wins.
Example: The graduated cylinder reads 70CCs with the roll of dimes in it. That means the dimes displace 20cc, times 2 gives you 40cc.
With the quarters in, the cylinder reads 85CCs. So the quarters displace 35CCs. In this example ten dollars worth of quarters take up less space than ten dollars of dimes.
That's volume only though, you can do the same with weight.
:paranoid
What. The. Farg.
MMH should be able to answer this, he was the one i always cheated off of in math classes.
why don't u cram the quarters up your ass and see what kinda space you got left
Quote from: mussa on August 25, 2005, 02:47:38 PM
why don't u cram the quarters up your ass and see what kinda space you got left
Ah yes, the fecal displacement method.
for some reason i always hear the voice of stewie from family guy when readin your posts rjs :-D
if you reach your hand down your pocket you won't find a roll of quarters, you'll feel a roll of dimes. Call it space efficency all you want. We all know it's just genetics.
thats weird? i usually find a huge cucumber in my pocket.
I usually find a mushroom stamp. WHAM! Right on the forehead.
Quote from: rjs246 on August 25, 2005, 02:59:04 PM
I usually find a mushroom stamp. WHAM! Right on the forehead.
Your girlfriend is one lucky woman.
Quote from: mussa on August 25, 2005, 02:57:49 PM
thats weird? i usually find a huge cucumber in my pocket.
a cucumber wrapped in aluminum foil?
Quote from: Yeti on August 25, 2005, 03:01:07 PM
Your girlfriend is one lucky woman.
She puts up with my nonsense quite well. Mushroom stamps and all.
She's probably getting some good lovin' on the side.
(http://pub.tv2.no/multimedia/na/archive/00175/Jessica_Alba__tatt__175740m.jpg)
that is only the 13th time you posted Alba's rear.
Quote from: MURP on August 25, 2005, 03:30:31 PM
that is only the 13th time you posted Alba's rear.
Are you serious, or being sarcastic? I can't even tell anymore.
If I've only posted that 13 times for real I think I've managed to do quite a job at maximizing the impact of her dumper.
Quote from: General_Failure on August 25, 2005, 03:06:38 PM
She's probably getting some good lovin' on the side.
Is that the new street slang for pounding the mud knuckle? :-X
serious.
I would have guessed I posted it at least 25 times. I have more restraint than I thought.
Or you're just lazy. Why is why your ladyfriend is getting hers from someone else.
Quote from: General_Failure on August 25, 2005, 03:53:38 PM
Or you're just lazy. Why is why your ladyfriend is getting hers from someone else.
Meh, it just leaves me more time for my true loves, Alba and fantasy football.
Quote from: rjs246 on August 25, 2005, 04:01:10 PM
Quote from: General_Failure on August 25, 2005, 03:53:38 PM
Or you're just lazy. Why is why your ladyfriend is getting hers from someone else.
Meh, it just leaves me more time for my true loves, Alba, fantasy football, and cutting jibs.
FixedHAR HAR!
Will somebody, for the love of God, please, answer the math question.
Jeezz.
(http://img.photobucket.com/albums/v400/dmkdjb/five-to-seven-times.gif)
(http://www.allfunpix.com/humor/pics4/mathquiz.jpg)
I happen to have a digital micrometer and a few coins to test in my office. The volume of a dime is about 310 cubic mm. The volume of a quarter is about 809 cubic mm. 310 x 2.5 is 775. Therefore the dime has the highest monetary density of the common pre-SBA coins.
For the record, he Sacagawea dollar coin has a volume of 1103 cubic mm and is therefore more economical than the dime.
Quote from: QB Eagles on August 25, 2005, 05:01:00 PM
I happen to have a digital micrometer
right next to the sharks with laser beams i presume.
Boobs.
I think I got it, and this guy was full of shtein (just as I thought because he's a habitual know-it-all)
I pretended I had enough coins to give me $100: 1000 pennies, 200 nickels, 100 dimes, 40 quarters, 20 half dollars, and 10 SBAs and Gold Dollars.
Then I used the diameter and wideth of each in milliliters, and used MURP's formula for the stack.
I think my answer is in cubic milliliters, if there is such a thing. Again, someone smart tell me.
Anyway, the answer is:
Coin Cubic milliliters (or whatever) for $10 worth of coins
Gold & SBA 176,494.7 (which we knew that was the most economical in space vs. money)
Half Dollar 506,296.6
Quarter 517,713.5
Dime 544,170.3
Nickel 2,204,732
Penny 7,068,569
So, I guess what all this means is that if you have one of those big giant water bottles you fill up with coins (not counting SBAs or Gold dollars), you'd be able to fit the most money in there with half-dollars. And if half dollars don't fit in the opening, then you would need to use quarters.
Thanks for the help. I can sleep better tonight.
Quote from: QB Eagles on August 25, 2005, 05:01:00 PM
I happen to have a digital micrometer and a few coins to test in my office. The volume of a dime is about 310 cubic mm. The volume of a quarter is about 809 cubic mm. 310 x 2.5 is 775. Therefore the dime has the highest monetary density of the common pre-SBA coins.
For the record, he Sacagawea dollar coin has a volume of 1103 cubic mm and is therefore more economical than the dime.
Damn... I thought my answer would kill this.
QB -- Where did I go wrong in my calculations?
What values did you use for diameter and thickness, and what math did you use to obtain your results? I used (diameter/2)^2 * pi * thickness.
DIMES
diameter = 17.91 mm
width = 1.35 mm
QUARTERS
diameter = 24.26 mm
width = 1.75 mm
I used MURPs formula: PI * Radius squared * width
I don't even know who you people are anymore.
hey General, just get back to Nintendogs and forget it.
(17.91/2)^2 *3.14159 *1.35 * 100 dimes = 34010.6
So where did you get 544,170.3?
What the farg happened on here? I'm scared GF...start banning them.
Quote from: NGM on August 25, 2005, 05:35:50 PM
What the farg happened on here? I'm scared GF...start burning them.
Fixed.
Quote from: QB Eagles on August 25, 2005, 05:33:30 PM
(17.91/2)^2 *3.14159 *1.35 * 100 dimes = 34010.6
So where did you get 544,170.3?
(17.91
*2)^2 *3.14159 *1.35 * 100 dimes = 544,170.3
I think I found my error :-[
But doing that with all my formulas leaves my ranking the same way. I still get that a quarter is more valuable space than a dime.
It's sad what me coming to a sports forum for math help says about my smarts.....
Quote from: DemonchildrenOnTurf on August 25, 2005, 05:44:47 PM
It's sad what me coming to a sports forum for math help says about my smarts.....
Not to mention English skills.
Quote from: DemonchildrenOnTurf on August 25, 2005, 05:44:47 PM
I still get that a quarter is more valuable space than a dime.
You're right, using the numbers you gave. I must have measured the dime incorrectly. Micrometer isn't worth a damn.
Still think my way would yeild the best results. That's the best way to figure volume....
Quote from: PhillyPhaninDC on August 25, 2005, 06:39:57 PM
Still think my way would yeild the best results. That's the best way to figure volume....
Yeah, but you want weight as well as volume, don't you?
Quote from: PhillyPhaninDC on August 25, 2005, 06:39:57 PM
Still think my way would yeild the best results. That's the best way to figure volume....
I think Demonchildren got the dimensions of the coins straight from the US Mint (http://www.usmint.gov/faqs/circulating_coins/index.cfm?action=faq_circulating_coin). Volume of a cylinder is pretty rudimentary, and I doubt the engravings on the surface of the coin pack enough volume to change the outcome of the calculation.
If coins were a more exotic shape, dumping them in a graduated cylinder would be the way to go.
According to the mint's page, quarters are exactly 2.5 times as heavy as dimes, and half dollars are exactly 5 times as heavy. They must be lying about either weight or composition, however, because the compositions (and thus densities) are supposedly the same, yet their volumes don't fall in the same proportions.
You should all have your taints pulled over your heads.
(http://www.freewebs.com/stupidassnerds/nerds.jpg)
I'm unimpressed.
Quote from: Geowhizzer on August 25, 2005, 07:52:56 PM
(http://www.freewebs.com/stupidassnerds/nerds.jpg)
Now you show up. You probably could have saved me about 5 hours of my day! :-D
Quote from: DemonchildrenOnTurf on August 25, 2005, 10:35:16 PM
Quote from: Geowhizzer on August 25, 2005, 07:52:56 PM
(http://www.freewebs.com/stupidassnerds/nerds.jpg)
Now you show up. You probably could have saved me about 5 hours of my day! :-D
Hey, some of us have to work for a living. :D
Well, that and get ready for another freaking hurricane. :boom
Quote from: QB Eagles on August 25, 2005, 06:53:09 PM
According to the mint's page, quarters are exactly 2.5 times as heavy as dimes.
A Quarter weighs 0.02 (gr) than 2 1/2 dimes.
Such a slight difference might not be note worthy.
Quote from: T_Section224 on August 25, 2005, 02:41:36 PM
MMH should be able to answer this, he was the one i always cheated off of in math classes.
farger.
Thanks to one of the 35 guests/bots viewing the board, this thread is making a comeback because it's funny to read.