GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/52

Question 52 (Textile Engineering & Fibre Science)

The ‘standard machine rate of loading’ of a tensile tester, working on pendulum lever principle, is 440 N/cm. As the pendulum lever swings from 30^o to 45^o, the ‘machine rate of loading’ (N/cm), reduces by (rounded off to 2 decimal places) __69.00 to 71.00__.

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Given in the question:
Standard machine rate of loading( $\mu_{o}$ )=440 N/cm

Pendulum lever swings from, $\theta_1$ =30^o to $\theta_2$ =45^o

The machine rate of loading( $\mu$ )=?

Formula:

$\mu$ = $\mu_{o}$ $Cos(\theta_1)-Cos(\theta_2)$

$\mu$ =440 *(Cos30^o-Cos45^o)

$\mu$ =440 *(0.87-0.71)

$\mu$ =440 *0.16

$\mu$ =70.4 N/cm (Answer)

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