What is the calculated accurate belt length for a large diameter pulley of 11.25" and a small diameter pulley of 6.125", with shaft centers 17.5" apart?

To determine the accurate belt length for two pulleys of differing diameters, the belt length can be calculated using a formula that takes into account both the diameter of the pulleys and the center distance between them. The key components in the formula are the diameters of the large and small pulleys, as well as the distance between their centers.

The general formula for calculating the belt length (L) between two pulleys is:

[ L = C + \frac{\pi}{2}(D_1 + D_2) + \frac{(D_1 - D_2)^2}{4C} ]

Where:

• ( C ) is the center distance between the two pulleys.

• ( D_1 ) is the diameter of the large pulley.

• ( D_2 ) is the diameter of the small pulley.

In this case:

• The large pulley diameter ( D_1 = 11.25 ) inches.

• The small pulley diameter ( D_2 = 6.125 ) inches.

• The center distance ( C = 17.5 ) inches.

Using the formula, you can plug in these values to calculate the belt length accurately:

1. Calculate the first