Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts
Question Statement:
A V-belt drive transmits power between two sheaves with groove angle $2\beta = 38^\circ$ (semi-groove angle $\beta = 19^\circ$). If the coefficient of friction between the belt and sheave is $\mu = 0.3$, calculate the effective virtual coefficient of friction $\mu'$ for the V-belt.
Answer Key:
0.921
Step-by-Step Solution & Explanation
For a V-belt in a groove of semi-angle $\beta$:
$\mu' = \frac{\mu}{\sin\beta}$
Here $\beta = 19^\circ$:
$\sin(19^\circ) = 0.32557$
$\mu' = \frac{0.30}{0.32557} \approx 0.9215$