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Expresion for length of open belt drive?

$$L=2C+ \frac{\pi}{2}(D+d)+\frac{(D-d)^2}{4c}$$

Where,

L = Length of the belt

C = Centre distance

D = Diameter of larger pulley

d = Diameter of smaller pulley

$$Formula $$

Length of open belt drive = 2(centre distance) + 1/2(pi)(sum of diameter of pulleys) + square of difference of diameter of pulleys/ 4(centre distance.)