Question

Calculate the contact angle (in deg) for the smaller of two pulleys with diameters of 500mm and 200mm. The tension ratio is 3:1 and distance between parallel shafts is 700mm

Answer 1

Answer:

$\theta _A=155.25^{\circ}$

Explanation:

Given that

$D_B=500 mm,D_A=200 mm$

Distance between pulleys= 700 mm

We have to find contact angle

In general application pulleys are connects in open configuration,So the contact angle given as follows

For small pulley

$\theta _A=\pi +2sin^{-1}\dfrac{R_A-R_B}{C}$

$\theta _A=\pi +2sin^{-1}\dfrac{100-250}{700}$

$\theta _A=155.25^{\circ}$