Enter the gear rotation rate (RPM) and the number of teeth on the gear into the Gear Mesh Frequency Calculator. The calculator will evaluate the Gear Mesh Frequency. 

Gear Mesh Frequency Formula

The following two example problems outline the steps and information needed to calculate the Gear Mesh Frequency.

GMF = R * #N

Variables:

  • GMF is the Gear Mesh Frequency (CPM)
  • R is the gear rotation rate (RPM) 
  • #N is the number of teeth on the gear 

How to Calculate Gear Mesh Frequency?

The following steps outline how to calculate the Gear Mesh Frequency.


  1. First, determine the gear rotation rate (RPM). 
  2. Next, determine the number of teeth on the gear. 
  3. Next, gather the formula from above = GMF = R * #N.
  4. Finally, calculate the Gear Mesh Frequency.
  5. 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.

gear rotation rate (RPM) = 300

number of teeth on the gear = 20

GMF = R * #N = ?