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mathmatician needed

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mark

05-03-2007 13:34:08




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Having found the price of iron wheel weights to exceed the value of gold, rubies, and gasoline combined....(just ask anybody who has some for sale), I have decided to make my own.....from lead.

I have plenty on hand, and checking the weights of materials, it is about 4.7X the weight of concrete. Lead weighs 708 pounds per cubic ft. vs. 150 pounds for concrete. This makes the lead a far better choice for maximum weight density.

So, if the weight diameter is 18", how thick would it have to be made, to weigh 500 pounds? Remember, lead weighs 708 pounds per cubic foot. Thanks.

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davpal

05-03-2007 23:36:38




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
Wouldn't it be easier to load your rear tires with calcium?



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Walt Davies

05-03-2007 19:20:57




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
Just in case you guys have forgotten what PI is: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196 4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273 724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...

Walt

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Walt Davies

05-03-2007 19:20:29




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
just incase you guys have forgotten what PI is: 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196 4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273 724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...

Walt

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TomH in PA

05-03-2007 17:31:13




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
You might want to see what the going rate for lead scrap is. Recycling 1000# of the stuff might get you enough to buy some nice wheel weights.

If you want to go with the lead, consider how you"re going to handle 500# weights. Maybe go with two or three thinner disks that you can stack in place.



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Bus Driver

05-03-2007 16:20:36




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
Have you compared the per-pound cost of steel and lead? Lead might be the more expensive. If so, the primary advantage of lead would be to make weights that are a smaller for a given poundage.



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RAB

05-03-2007 14:52:13




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
OK, lead is nearly 1 1/2 times the density of steel. BUT it does not have the mechanical strength of steel. Presumably these are wheel weights - front or rear? Or both? Do they need to be annular (like a washer)?
Make sure the bearing area is large and the fixings are secure or they will quickly destroy themselves if they come even slightly loose. Ideally will need sleeves around the bolts to improve the clamping and spread the deformation loads on the weights. 500 pounds on each wheel in one lump will not easily be handled. Also that is one large amount of scrap lead to go toward some steel weights - almost worth nicking a cheap old tractor for!! Furthermore, lead in the environment is not too "green" although as metallic lead it is not too bad, I suppose.
Me? I think the lead should be kept for roof flashing and inside batteries, not for wheel weights (unless used as a filler in a steel mould for instance). Your choice, but I don"t think I would.
Regards, RAB

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LamborghiniR904DT

05-03-2007 14:15:04




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
4.8" is correct.
.25*PI*(Diameter^2)*thickness*708pcf
.25*3.14*(1.5^2)*(4.8/12)*708 = 500



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TomH in PA

05-03-2007 17:33:26




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 Re: mathmatician needed in reply to LamborghiniR904DT, 05-03-2007 14:15:04  
Don't you need a cutout in the middle for the axle?



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perry in calif.

05-03-2007 14:14:33




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
Here are my calculations:

Lead weights 708 lbs per cubic foot or .409 lbs per cubic inch. And the area of a circle is Pie(3.1417) times radius squared-then 3.14 times 9 squared is 254.47 square inches therefore if it is 1 in thick it would weigh 254.47 times .409 which equals 104.078 lbs.Then 500 lbs divided by 104.078 equals 4.80 inches thick.



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perry in calif.

05-03-2007 13:52:54




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
If my 5th grade math is right 4.80in thick.



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midwest redneck

05-03-2007 13:52:24




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 Re: mathmatician needed in reply to mark, 05-03-2007 13:34:08  
Lead weighs .411 lbs. per cubic inch. SOOooooo ..... ..... 18X18 X .7854 = 329 lbs per disk that is 18 diameter and 1 inch thick. Sooo.... 1.561" thick and 18" diameter. (give or take) should give you 500lbs. this is with no holes in it for mounting.



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midwest redneck

05-03-2007 14:10:33




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 Re: mathmatician needed in reply to midwest redneck, 05-03-2007 13:52:24  
I could be wrong though.....It has happened before.



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mark

05-03-2007 18:19:55




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 Re: mathmatician needed in reply to midwest redneck, 05-03-2007 14:10:33  
Thanks to everybody who responded.

First, being from Kentucky, we weren't taught such mathematics in the 5th grade. And besides that, it has been many years since I eventually was taught the theory of pi. Therefore when challenged, I am not too proud to publicly admit my ignorance and seek the help of those more learned, than I.

As for the environment and lead..... lead is a naturally occurring mineral within the upper strata of the Earth's crust. I would guess it has been present for at least a few billion years, if not longer. It is actually a rather innocuous substance unless heated to the point of vaporization (900+ degrees F) or rendered into dust and then inhaled.

Obviously, iron/steel wheel weights are superior structurally and if money wasn't an issue for me, I'd just lay out about $500 for a thousand pounds of used rear weights and be done with it.

Concerning how the weights would be formed/molded, yes, they would be poured about one inch thick and stacked.

My tractor has flanged axles, so no center hole is needed. The weights would just have to be removed in order to unbolt the wheel in case of a flat tire, etc.

Thanks again.

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LamborghiniR904DT

05-04-2007 05:10:59




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 Re: mathmatician needed in reply to mark, 05-03-2007 18:19:55  
Being a KY native myself, I thought I might resent your comment, but then again, I don't remember when they taught us PI. Sounds like you've studied or just know alot about lead. I thought that any act of creating lead dust or vapors was a health risk. It seems the greatest risk is with children. Just promise to keep the grandkids away while you're making these weights.



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