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Determining Thread Spacing in Fabric - Coggle Diagram
Determining Thread Spacing in Fabric
Possible Methods for measuring thread spacing
Using a laser shone through the fabric, to measure the diffraction pattern.
By setting up a laser shone through a piece of fabric you can get a diffraction pattern against the wall, because of the way fabric is made there will be a horizontal and vertical diffraction pattern on the wall. By measuring the distance between the wall and the fabric, and the distance from the central maximum to the mth order maximum on the screen, I can use trig to calculate the diffraction angle, and from there by rearranging the diffraction grating formula I can work out the thread spacing. To mitigate cons identified for this method when measuring maxima mark each maxima using a marker which allows for a slightly better measurement of maxima.
Manually using a microscope looking right at the fabric and at a microscopic level you can see and measure the thread spacing
Using a Densitometer which allows you to place the fabric sample, to determine the density of it, which you could then estimate thread count
Using a Digital Microscope can make the manually microscope method significantly easier.
To measure using the digital microscope start by preparing the sample by placing it on a well lit surface under the microscope, then adjust the microscope to make sure it is zoomed in enough for the threads to be visible enough to measure then by taking an image and manually using a measurement tool I can determine the distance between adjacent threads. To mitigate the cons make sure that your calibration of the microscope is correct.
How could I make measurements for each method
Diffraction pattern: measuring the distance between each maxima, The distance between the fabric and the screen, and rearranging mλ=dsinθ to get d.
Microscope: Using a ruler
Potential Difficulties/Errors
Using a microscope: Depending on how zoomed in the microscope is may influence how you record
Diffraction Pattern: hard to determine with the naked eye what the center of the maximas are actually
Densitometer: It would be an estimate therefore not very accurate
Factors
Since you don't have anything to base your "original" density off of the densitometer method may not be as useful
Fabric Properties, makes using the diffraction grating method viable
I am going to use the diffraction method because it can show my understanding of the physics involved, this is the main reason I am choosing to use this method over the microscope even though the microscope is a good, and easy method to determine thread spacing
How would I record data
In a table for the microscope method
I would record wavelength by rearranging mλ=dsinθ, which would allow me to use λ to determine thread spacing
Independent/Dependent Variables
Variables for diffraction method: Dependent Variable: sinθ, Independent Variable: m (the order of maxima)