# GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/23

###### Question 23 (Textile Technology & Fibre Science)

A twistless polyester yarn has 90 filaments, each of 2 denier. The metric count of the yarn
is __49.8 to 50.2__.

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Given in the question-
Number of filament in the twistless polyester yarn=90

Denier of each filament=2

Metric count of the yarn(Nm)=?

Calculation

Count of the polyester yarn=Number of filament x Denier of each filament

Count of the polyester yarn=90 x 2

Denier=180

Relationship between denier and english system(Ne)

Ne=5314/Denier

Ne=5314/180

Ne=29.52s

Relationship between english system(Ne) and metric system(Nm)-

Nm=1.69*Ne

Nm=1.69*29.52

### What kind of yarn is polyester?

Polyester yarn is a synthetic fiber made from polyester, a type of polymer that is derived from petroleum. Polyester yarn is commonly used in textile manufacturing due to its durability, resistance to wrinkles, and ability to retain its shape well. It is often blended with other fibers such as cotton, wool, or silk to enhance its properties and create a wide range of fabrics for different applications. Polyester yarn can be found in various forms such as filament yarn, staple fiber, textured yarn, and spun yarn, and it is used in many different products, including clothing, home furnishings, and industrial textiles.

### What is polyester yarn made from?

Polyester yarn is a synthetic fiber that is made from polyester, which is a type of polymer. Polyester is made by reacting purified terephthalic acid (PTA) or dimethyl terephthalate (DMT) with ethylene glycol in a chemical process called polymerization. This process produces long chains of polymer molecules that are then spun into fibers or yarns. Polyester yarn can be produced in various forms, such as filament yarn, staple fiber, textured yarn, or spun yarn, depending on the specific manufacturing process used. Polyester yarn is known for its durability, resistance to wrinkles, and ability to retain its shape well, which make it popular in textile manufacturing for a wide range of applications.

### What is polyester yarn good for?

Polyester yarn is a versatile and popular material used in a wide range of applications in the textile industry. Here are some of the benefits and uses of polyester yarn:

1)Durability: Polyester yarn is known for its durability and strength, making it an ideal choice for fabrics that will be subjected to heavy use and frequent washing.

2)Easy care: Polyester yarn is easy to care for and requires minimal ironing, making it a great choice for busy households.

3)Moisture-wicking: Polyester yarn has moisture-wicking properties, which means it can draw sweat away from the body, keeping you cool and dry.

4)Resistance to wrinkles: Polyester yarn is resistant to wrinkles, making it ideal for travel and for garments that require a smooth appearance.

5)Versatile: Polyester yarn can be used in a wide range of applications, from clothing and home furnishings to industrial textiles.

### What is denier formula?

Denier is a unit of measurement that is used to express the fineness of fibers in textile manufacturing. It is defined as the weight in grams of 9,000 meters of the fiber or yarn. The denier formula is simply:

Denier = (Weight in grams / Length in meters) x 9,000
For example, if you have a fiber that weighs 1 gram and is 10 meters long, the denier would be:

Denier = (1 gram / 10 meters) x 9,000 Denier = 900
This means that the fiber has a denier of 900, which indicates that it is relatively thick and heavy.

In textile manufacturing, denier is an important measurement as it helps to determine the quality, strength, and characteristics of a fiber or yarn. A higher denier indicates a thicker and heavier fiber or yarn, while a lower denier indicates a thinner and lighter one. The denier formula is used to calculate the denier of various fibers and yarns, including polyester, nylon, silk, and cotton, among others.

### What is English count and metric count?

English count and metric count are two different systems of measurement used to specify the thickness or fineness of yarn or thread.
English count, also known as the Spun Count System or Cotton Count System, is a system of measurement used to express the fineness or thickness of yarns or threads made from cotton or other staple fibers. In this system, the count is expressed as the number of hanks (840 yards) of yarn that weight one pound. So, for example, a yarn with a count of 10 would mean that 10 hanks of that yarn would weigh one pound.

Metric count, on the other hand, is a system of measurement used to express the fineness or thickness of yarns or threads made from all types of fibers. In this system, the count is expressed as the number of kilometers of yarn that weigh one kilogram. So, for example, a yarn with a count of 50 would mean that 50 kilometers of that yarn would weigh one kilogram.
Both systems are used in different parts of the world, with English count being more common in the United States and metric count being more common in Europe and Asia.