Allied & ICAR Exam Bank • ALLIED_0113 NAT • 2 Marks

Section 2: Farm Machinery

Machine Design

Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts

Question Statement:

An open flat belt connects two pulleys with speed ratio $1:1$ (angle of lap $\theta = \pi\text{ rad}$). If the coefficient of friction $\mu = 0.30$, the tension ratio $T_1 / T_2$ (neglecting centrifugal tension) is (rounded off to two decimal places):

Answer Key:

2.57

Step-by-Step Solution & Explanation

$T_1 / T_2 = e^{\mu \theta} = e^{0.30 \times 3.1416} = e^{0.9425} \approx 2.566 \approx 2.57$.
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