Does anyone know how to find the scale weight of an item?

[pashlispaht]

I have a question for any of the more mathematically astute members of the audience. Does anyone have any idea on how to find the scale weight of an item? For instance, if a particular tank weighs 40 tons at 1:1, how much would it weigh at 1:25? This is assuming that the density is also scaled as well. I hope someone out there knows the answer to this...

[Maurice]

pashlispaht

Weight, like volume, varies with the cube of the linear scale.

So
(1/25)x(1/25)x(1/25) = 1/15,625
and your model of a 40 ton tank will weigh
40x2240/15,625 = 5.7344 lbs or 40x1000/15,625 = 2.56 kg

Assuming that your talking about one of those tons that weighs 2240 lbs or 1000 kg and not one of those tons that weighs something else. :D

Density of course does not get scaled - it is weight/volume and that is the same as (scaled weight)/(scaled volume).

Cheers
Maurice

[SteveM]

Isn't 1000kg a "tonne" while a "ton" is 2000 lbs.?

[charliec]

Depends on whose "ton" you are referring to - the old Imperial ton was 2240 lbs - I think the US "ton" was/is 2000 lbs. The metric "tonne" is pretty close to the Imperial ton.

Why 2240 lbs? - an Imperial ton was 20 hundredweight (cwt) where 1 hundredweight (cwt) was 112 pounds (lbs) or 8 stone (and 1 stone was 14 lbs). Can't imagine why we went to metric units....

Regards,

Charlie

[Renaud]

http://perso.wanadoo.fr/pierre.gay/PagesFra/SysMetFR

http://histoire.du.metre.free.fr/

http://www.industrie.gouv.fr/metro/aquoisert/metre.htm