Diametral Pitch of Gear given Circular Pitch Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Pd = pi/Pc
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diametral Pitch of Spur Gear - (Measured in 1 per Meter) - Diametral Pitch of Spur Gear is the number of teeth on the Spur Gear per unit length of the pitch diameter.
Circular Pitch of Spur Gear - (Measured in Meter) - Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.
STEP 1: Convert Input(s) to Base Unit
Circular Pitch of Spur Gear: 12.35 Millimeter --> 0.01235 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pd = pi/Pc --> pi/0.01235
Evaluating ... ...
Pd = 254.379971950591
STEP 3: Convert Result to Output's Unit
254.379971950591 1 per Meter -->0.254379971950591 1 per Millimeter (Check conversion ​here)
FINAL ANSWER
0.254379971950591 0.25438 1 per Millimeter <-- Diametral Pitch of Spur Gear
(Calculation completed in 00.020 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth
​ LaTeX ​ Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
​ LaTeX ​ Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Diametral Pitch of Gear given Circular Pitch
​ LaTeX ​ Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
​ LaTeX ​ Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Diametral Pitch of Gear given Circular Pitch Formula

​LaTeX ​Go
Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Pd = pi/Pc

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Diametral Pitch of Gear given Circular Pitch?

Diametral Pitch of Gear given Circular Pitch calculator uses Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear to calculate the Diametral Pitch of Spur Gear, Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter. Diametral Pitch of Spur Gear is denoted by Pd symbol.

How to calculate Diametral Pitch of Gear given Circular Pitch using this online calculator? To use this online calculator for Diametral Pitch of Gear given Circular Pitch, enter Circular Pitch of Spur Gear (Pc) and hit the calculate button. Here is how the Diametral Pitch of Gear given Circular Pitch calculation can be explained with given input values -> 0.000254 = pi/0.01235.

FAQ

What is Diametral Pitch of Gear given Circular Pitch?
Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter and is represented as Pd = pi/Pc or Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.
How to calculate Diametral Pitch of Gear given Circular Pitch?
Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter is calculated using Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. To calculate Diametral Pitch of Gear given Circular Pitch, you need Circular Pitch of Spur Gear (Pc). With our tool, you need to enter the respective value for Circular Pitch of Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diametral Pitch of Spur Gear?
In this formula, Diametral Pitch of Spur Gear uses Circular Pitch of Spur Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
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