The formula to calculate the diameter of the driven pulley is:
\[ DP_d = \left( \frac{DP_d \times RPM_d}{RPM_d} \right) \]
Where:
Pulley size refers to the diameter of a pulley in a belt drive system. The size of the pulley affects the mechanical advantage, speed ratio, and power transmission between the drive and driven shafts. Proper sizing of pulleys is crucial for the efficiency and longevity of the belt drive system. It is important to match the pulley sizes to the desired RPMs of the connected shafts to achieve the correct speed ratio.
Let's assume the following values:
Step 1: Multiply the diameter of the drive pulley by the RPM of the drive pulley:
\[ 4 \times 1500 = 6000 \]
Step 2: Divide by the RPM of the driven pulley:
\[ \frac{6000}{750} = 8 \]
Therefore, the diameter of the driven pulley is 8 inches.