Allied & ICAR Exam Bank • ALLIED_0653 MCQ • 1 Mark

Section 6: Agricultural Process Engineering

Material Handling Equipment

Subtopic: Material Handling Equipment

Question Statement:

In a belt conveyor drive, the relationship between tight side tension ($T_1$) and slack side tension ($T_2$) on the drive pulley is given by Euler's capstan equation:

Options:

  • (A) $\frac{T_1}{T_2} = \exp(\mu \theta)$
  • (B) $\frac{T_1}{T_2} = \mu \theta$
  • (C) $\frac{T_1}{T_2} = \ln(\mu \theta)$
  • (D) $\frac{T_1}{T_2} = 1 + \mu \theta$

Answer Key:

A

Step-by-Step Solution & Explanation

Euler's belt friction formula is $T_1 / T_2 = \exp(\mu \theta)$, where $\mu$ is coefficient of friction and $\theta$ is wrap angle in radians.
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