# GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/03

###### Question 03 (Textile Engineering & Fibre Science)

The density of polyester fibre is

Option B is correct

### How do you find the density of fibre?

The density of a fiber can be determined by dividing its mass by its volume. Here are the general steps to find the density of a fiber:
Weigh the fiber: Use a balance to determine the mass of the fiber sample. The mass should be recorded in grams (g).

Measure the fiber’s dimensions: Measure the length, width, and thickness of the fiber. If the fiber is not a regular shape, you can estimate the average diameter.

Calculate the volume: The volume of the fiber can be calculated using the formula for the volume of a cylinder (if the fiber is cylindrical) or using the appropriate formula for the shape of the fiber.

Calculate the density: Divide the mass of the fiber by its volume to obtain the density in grams per cubic centimeter (g/cm³) or in any other appropriate units.

Density = mass / volume

It’s important to note that the density of fibers can vary depending on the type of fiber, its manufacturing process, and other factors. Therefore, it’s essential to follow a standardized method for measuring and calculating the fiber density.