ccollinsphotogr4217 ccollinsphotogr4217
  • 21-08-2019
  • Engineering
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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

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Netta00 Netta00
  • 03-09-2019

Answer:

[tex]\theta _A=155.25^{\circ}[/tex]

Explanation:

Given that

[tex]D_B=500 mm,D_A=200 mm[/tex]

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

[tex]\theta _A=\pi +2sin^{-1}\dfrac{R_A-R_B}{C}[/tex]

[tex]\theta _A=\pi +2sin^{-1}\dfrac{100-250}{700}[/tex]

[tex]\theta _A=155.25^{\circ}[/tex]

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