Question 13.1: Geometric Quantities of a V-Belt Drive A V belt is to operat...

a. Through the use of Equation 13.11,

b=L-\pi\left(r_1+r_2\right)=69.8-\pi(6+4)=38.38  in .

Equation 13.10 is therefore

c=\frac{1}{4}\left[b+\sqrt{b^2-8\left(r_2-r_1\right)^2}\right]     (13.10)

c=\frac{1}{4}\left[38.38+\sqrt{38.38^2-8(6-4)^2}\right]=19.09  in .

b. Applying Equation 13.7,

\phi=\pi-2 \alpha=180^{\circ}-2 \sin ^{-1}\left(\frac{150-100}{480}\right)=168^{\circ}