Length of Filament in 3-D printing Calculator

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✖Weight is a body's relative mass or the quantity of matter contained by it.ⓘ Weight [W]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%

✖Length of filament is nothing but the length of the material which is been oozes out from various nozzle after setting up matrix and reinforcements.ⓘ Length of Filament in 3-D printing [L_filament]

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Length of Filament in 3-D printing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Filament = Weight/(Density*Cross-Sectional Area)
L_filament = W/(ρ*A_cs)
This formula uses 4 Variables

Variables Used

Length of Filament - (Measured in Meter) - Length of filament is nothing but the length of the material which is been oozes out from various nozzle after setting up matrix and reinforcements.
Weight - (Measured in Kilogram) - Weight is a body's relative mass or the quantity of matter contained by it.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Weight: 55 Kilogram --> 55 Kilogram No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_filament = W/(ρ*A_cs) --> 55/(997*13)

Evaluating ... ...

L_filament = 0.00424349972995911

STEP 3: Convert Result to Output's Unit

0.00424349972995911 Meter -->4243.49972995911 Micrometer (Check conversion here)

FINAL ANSWER

4243.49972995911 ≈ 4243.5 Micrometer <-- Length of Filament

(Calculation completed in 00.020 seconds)

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Created by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

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Length of Filament in 3-D printing Formula

LaTeX Go

Length of Filament = Weight/(Density*Cross-Sectional Area)
L_filament = W/(ρ*A_cs)

What is the filament used for?

3D printer filament is a certain kind of printing material used by the FFF type 3D printer. It is one of the most commonly used 3D printing material categories in the world now. Filament is the the raw material through which different layers are made and object is fabricated.

How to estimated the length of filament?

To be able to infer the length of the filament from the weight, you first need some data on the diameter and density of the filament. The density and diameter can be used to calculate how many grams the filament weighs per centimetre. To estimate the length of the remaining PLA filament, you now have to divide the weight by both density and cross-sectional area. You can therefore calculate the length of the spool by dividing the 350 g by 1.25 g per cubic centimetre.

How to Calculate Length of Filament in 3-D printing?

Length of Filament in 3-D printing calculator uses Length of Filament = Weight/(Density*Cross-Sectional Area) to calculate the Length of Filament, The Length of Filament in 3-D printing is the length of filament or the material that is processed out of the composite material which comprises of matrix and respective reinforcements. Length of Filament is denoted by L_filament symbol.

How to calculate Length of Filament in 3-D printing using this online calculator? To use this online calculator for Length of Filament in 3-D printing, enter Weight (W), Density (ρ) & Cross-Sectional Area (A_cs) and hit the calculate button. Here is how the Length of Filament in 3-D printing calculation can be explained with given input values -> 4.2E+9 = 55/(997*13).

FAQ

What is Length of Filament in 3-D printing?

The Length of Filament in 3-D printing is the length of filament or the material that is processed out of the composite material which comprises of matrix and respective reinforcements and is represented as L_filament = W/(ρ*A_cs) or Length of Filament = Weight/(Density*Cross-Sectional Area). Weight is a body's relative mass or the quantity of matter contained by it, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Length of Filament in 3-D printing?

The Length of Filament in 3-D printing is the length of filament or the material that is processed out of the composite material which comprises of matrix and respective reinforcements is calculated using Length of Filament = Weight/(Density*Cross-Sectional Area). To calculate Length of Filament in 3-D printing, you need Weight (W), Density (ρ) & Cross-Sectional Area (A_cs). With our tool, you need to enter the respective value for Weight, Density & Cross-Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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