# GATE (TF) Textile 2022 Question Paper Solution | GATE/2022/TF/49

###### Question 49 (Textile Technology & Fibre Science)

A take-up motion is shown below. The number of teeth on gear A, B, C, D and E are 60, 20, 40, 25 and 50, respectively. The circumference of the take-up roller is 40 cm. If one tooth is broken on gear B, then the wavelength (cm) of the fault in fabric (in integer) is ___.

Given in the question-

Circumference of take-up roller=40 cm

No. of teeth in gear A( )=60

No. of teeth in gear B( )=20 and One teeth is broken on gear B

No. of teeth in gear C( )=40

No. of teeth in gear D( )=25

No. of teeth in gear E( )=50

Here drive given to driven B by driver A, driven C by driver B ,driven D by driver C and driven E by driver D.

Since ,the fault is in the gear B,so that we will not consider gear A in default length and calculation will start from gear B.

Wavelength of the fault in fabric circumference of take up roller

Wavelength of the fault in fabric Wavelength of the fault in fabric cm (Ans)