Enter the pitch circle diameter, number of teeth, and diametral pitch into the calculator to determine the missing variable.
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Pitch Circle Formula
The following formula is used to calculate the pitch circle diameter for a given number of teeth and diametral pitch.
PCD = N / DP
Variables:
- PCD is the pitch circle diameter
- N is the number of teeth
- DP is the diametral pitch
To calculate the pitch circle diameter, divide the number of teeth by the diametral pitch. This formula can also be rearranged to solve for the number of teeth or the diametral pitch if the other two variables are known.
What is a Pitch Circle?
A pitch circle, also known as a pitch diameter, is an imaginary circle that passes through the contact points of the teeth of a gear. It is a crucial concept in gear design and is used to determine the size and spacing of the teeth. The pitch circle diameter is used to calculate the gear ratio and to ensure that gears mesh correctly. The pitch circle is essential for understanding the geometry and function of gears in mechanical systems.
How to Calculate Pitch Circle?
The following steps outline how to calculate the Pitch Circle.
- First, determine the number of teeth (N).
- Next, determine the diametral pitch (DP).
- Next, calculate the pitch circle diameter using the formula PCD = N / DP.
- Finally, calculate the Pitch Circle.
- After inserting the values 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.
Number of teeth (N) = 20
Diametral pitch (DP) = 5