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Math Help - Conversion from g/m3 to g/m2

  1. #1
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    Conversion from g/m3 to g/m2

    We have products we produce using the formula g/m2. This product vairies but is normally 1" thick with vairing widths and lenghts. Now a customer sent us a request for a sample of .055 g/m3. We need to get a formula that we can use to calculate the weight of a roll simular to what we do using the g/m2. We adjust our machines to run at a given speed that gives us this roll weight. Speed detemines nt only roll weight but number of laps per inch. Below is the formula we use to get the full roll weight.

    W = width in feet
    f = Length in feet
    g = g/m2

    (W/12)(f)(g)(.0033)/16 = Roll weight

    For example a roll 87" wide and 150 foot long at a 350g would weight 78.50 lbs. This would give a 350g product. Our machines vary this weight by use of line speed and amount of fibre being carded. We set the line speed up according to the number of laps per inch we want in the product then set the speed of the fibre input to our cards to vary the weight. So we can actualy get any weight within certain limits of the cards.
    Our equiptment is set up using U.S. weights and measures. The scales and production line would be difficult to change to metric readings due to all the displays and programs that control the line is in U.S. weights and measures. So the need for conversion adds to the difficulty of the formula.

    What we need is a way to calculate the roll weight using the g/m3. So what would be the formula used to calculate the weight of a roll say 87 inches wide and a 150 foot long at .055 g/m3?
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Conversion from g/m3 to g/m2

    If I understand correctly, your term "g/m2" basically means weight per unit area of the finished product, which varies with the hickness of the material. Hence a roll made with g/m2 = 100 weights twice as much as a roll with g/m2 = 50, because the finished material is twice as thick, right?

    Now does the "g/m3" nomenclature mean weight per unit volume? If so, the value of g/m3 is simply a property of the material itself, and not it's thickness. Doesn't matter whether you make the roll 1 inch think or 2 inches thick, the weight per cubic foot is the same. Consequently it's impossible to determine the weight of a roll made with a certain g/m3 unless you specify volume of material used, and that in turn means knowing its the thickness. Hence it's impossible to answer the question as presented. On the other hand - perhaps I don't understand correctly what "g/m3" means, so it would help if you define it a bit better.
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