Weaving Loom Set up area problem

[ilove]

Hi,
I am weaving fabric on a loom. My question is how LONG the piece can be made, given the constraints:

Total yarn = 2480 yards * 36 = 89,280 inches
(East to West) WIDTH of fabric = 34.5 inches = 485 threads lengthwise making up the warp llllllllllllllllll ( which goes up and down (North to South))
One inch of horizontal threads (Weft threads, passing the shuttle back and forth through the vertical warp threads, which builds vertical length) equals 17 threads per inch.

unknown = length of the 485 warp threads

Please help,
Ilove

 

[stapel]

Total yarn = 2480 yards * 36 = 89,280 inches
(East to West) WIDTH of fabric = 34.5 inches = 485 threads lengthwise making up the warp llllllllllllllllll ( which goes up and down (North to South))
One inch of horizontal threads (Weft threads, passing the shuttle back and forth through the vertical warp threads, which builds vertical length) equals 17 threads per inch.

Are you supposed to assume that there is no limit to the length (beginning to end) of the warp threads, so the only constraint in the total length (side to side, and back again) of the weft threads?

Also, what assumptions are you supposed to make about the additional side-to-side length created by the texture (the up-and-down, over-and-under) of the fabric? It's not like you're simply stringing thread between two endpoints, with no length "lost" to turning at the ends or up-and-down-ing to pass through the warp threads. What is the "swag" that you need to add to account for this, if anything? Also, are you to assume the use of only the one weft thread, so there is no "pattern" (of different colors, with tie-offs, etc)?

When you reply, please include a clear statement of your steps and reasoning so far, including any formulas your book gave you to work with. Thank you.

 

[ilove]

Are you supposed to assume that there is no limit to the length (beginning to end) of the warp threads, so the only constraint in the total length (side to side, and back again) of the weft threads?

Also, what assumptions are you supposed to make about the additional side-to-side length created by the texture (the up-and-down, over-and-under) of the fabric? It's not like you're simply stringing thread between two endpoints, with no length "lost" to turning at the ends or up-and-down-ing to pass through the warp threads. What is the "swag" that you need to add to account for this, if anything? Also, are you to assume the use of only the one weft thread, so there is no "pattern" (of different colors, with tie-offs, etc)?

When you reply, please include a clear statement of your steps and reasoning so far, including any formulas your book gave you to work with. Thank you.

Thank you, Stapel, for your answer. The swag and patterns and colors have been accounted for on a similar twill fabric. I measured 14 warp threads by 17 weft threads per square inch, which included the pattern. The limit would be the total amount of yarn, 2480 yards = 89,280 inches. This is a real world problem, no textbook. Sorry. Another way of asking maybe is that for every square inch there are 14 warp threads and 17 weft threads. I am sorry if I am unclear in my thinking. I am really trying. Thank you so much.

 

[stapel]

The swag and patterns and colors have been accounted for on a similar twill fabric.

Okay. How much thread was used in this "pattern"? What was the actual length of thread for each linear inch of finished fabric? Also, if you are doing a fabric with a pattern, are different colors of thread used? If so, how much must be allowed for each knot? And how many knots are expected to be used in the average linear inch?

Please keep in mind that you appear to be asking for a solution to a physical (that is, "real world" or "applied") situation. But we're mathies; we can do the numbers and equations and such, but the applications require information outside of the mathematics. You'll need to furnish all of that information.