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View Full Version : Formula for determining finished good roll diameter


d-wright
3rd July 2008, 12:43 PM
We have a formula we use to determine finished good roll diameter but it does not seem to be very accurate.

Does someone have a formula that they could share that would meet our needs? We are trying to determine roll diameter for packaging prior to running the parts.

Stijloor
3rd July 2008, 12:44 PM
We have a formula we use to determine finished good roll diameter but it does not seem to be very accurate.

Does someone have a formula that they could share that would meet our needs? We are trying to determine roll diameter for packaging prior to running the parts.

What is your current formula?

Stijloor.

d-wright
3rd July 2008, 01:02 PM
I have attached the spreadsheet we are currently using

Frank T.
3rd July 2008, 02:09 PM
d-wright,

This page (http://www.handymath.com/cgi-bin/roll4.cgi?submit=Entry) may be of some help or you could just change the formula in E5, of your spreadsheet, to:

=IF(E4>0,"GIVEN",SQRT(((48*F4*D4)/3.14159)+C4^2)).

Hope this helps.

Tim Folkerts
3rd July 2008, 02:22 PM
I agree the formula doesn't seem very good. if nothing else, when you have a length of 0, the outer diameter is only 0.37" while the "inner" diameter is 3"! :notme:

I would go back to geometry. The volume of the material is V = L*W*t
When it is wrapped on a cylinder, the volume of the "cylinder with the center missing" would be V = pi*(R_outer^2 - R_inner^2)*W

Setting these equal and doing a little algebra gives

R_outer = [ (12*L)*t/pi + R_inner^2 ]^0.5 or
D_outer = [ 48*L*t/pi +D_inner^2]^0.5

The 12 is to convert from ft to inches; t= thickness; L=length;

or in your spread sheet SQRT(48*F4*D4/PI()+C4^2)


This seems to work pretty well. There might be a bit of a "fudge factor" needed if the material has any gaps as it is rolled.

I get 13.36" for a 150' roll, compared to your 13.03. And I get 3" for a 0ft roll, which is what it should be! :-)


Tim Folkerts


P.S. Looks like Frank beat me to the punch. Nice to see we get the same formula :-)

d-wright
3rd July 2008, 03:27 PM
thanks for you help.

Stijloor
3rd July 2008, 03:29 PM
P.S. Looks like Frank beat me to the punch. Nice to see we get the same formula :-)

Math Wizzards....:)

Stijloor.

d-wright
3rd July 2008, 03:29 PM
Math Wizzards....:)

Stijloor.

gotta luv em :applause: