Enter the diameter of the drive pulley, the RPM of the drive pulley, and the RPM of the driven pulley into the calculator to determine the diameter of the driven pulley. This calculator can also evaluate the diameter of the drive pulley given the other variables.

Pulley Size Formula

The following formula is used to calculate the diameter of the driven pulley.

DP_d = (DP_d * RPM_d) / RPM_d

Variables:

  • DP_d is the diameter of the driven pulley (inches)
  • DP_d is the diameter of the drive pulley (inches)
  • RPM_d is the RPM of the driven pulley
  • RPM_d is the RPM of the drive pulley

To calculate the diameter of the driven pulley, multiply the diameter of the drive pulley by the RPM of the drive pulley, then divide by the RPM of the driven pulley.

What is a Pulley Size?

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.

How to Calculate Pulley Size?

The following steps outline how to calculate the Pulley Size.


  1. First, determine the diameter of the drive pulley (DP_d) in inches.
  2. Next, determine the RPM of the drive pulley (RPM_d).
  3. Next, determine the RPM of the driven pulley (RPM_d).
  4. Next, gather the formula from above = DP_d = (DP_d * RPM_d) / RPM_d.
  5. Finally, calculate the diameter of the driven pulley (DP_d) in inches.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Drive Pulley Diameter (DP_d) = 6 inches

Drive RPM (RPM_d) = 1500 RPM

Driven RPM (RPM_d) = 1000 RPM