Circular Pitch of Gear given Diameter and Number of Teeth Calculator

✖Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Pitch Circle Diameter of Spur Gear [d]			+10% -10%
✖Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Spur Gear [z]			+10% -10%

✖Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.ⓘ Circular Pitch of Gear given Diameter and Number of Teeth [P_c]

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Circular Pitch of Gear given Diameter and Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
P_c = pi*d/z
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Pitch Circle Diameter of Spur Gear - (Measured in Meter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Number of Teeth on Spur Gear - Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

STEP 1: Convert Input(s) to Base Unit

Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)
Number of Teeth on Spur Gear: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = pi*d/z --> pi*0.118/30

Evaluating ... ...

P_c = 0.0123569311041199

STEP 3: Convert Result to Output's Unit

0.0123569311041199 Meter -->12.3569311041199 Millimeter (Check conversion here)

FINAL ANSWER

12.3569311041199 ≈ 12.35693 Millimeter <-- Circular Pitch of Spur Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Parameters of Spur Gear » Circular Pitch of Gear given Diameter and Number of Teeth

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 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

Circular Pitch of Gear given Diameter and Number of Teeth Formula

LaTeX Go

Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
P_c = pi*d/z

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 Circular Pitch of Gear given Diameter and Number of Teeth?

Circular Pitch of Gear given Diameter and Number of Teeth calculator uses Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear to calculate the Circular Pitch of Spur Gear, Circular Pitch of Gear given Diameter and Number of Teeth is defined as the distance measured along the pitch circle between two similar points on adjacent teeth of the gear. Circular Pitch of Spur Gear is denoted by P_c symbol.

How to calculate Circular Pitch of Gear given Diameter and Number of Teeth using this online calculator? To use this online calculator for Circular Pitch of Gear given Diameter and Number of Teeth, enter Pitch Circle Diameter of Spur Gear (d) & Number of Teeth on Spur Gear (z) and hit the calculate button. Here is how the Circular Pitch of Gear given Diameter and Number of Teeth calculation can be explained with given input values -> 12356.93 = pi*0.118/30.

FAQ

What is Circular Pitch of Gear given Diameter and Number of Teeth?

Circular Pitch of Gear given Diameter and Number of Teeth is defined as the distance measured along the pitch circle between two similar points on adjacent teeth of the gear and is represented as P_c = pi*d/z or Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear. Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle & Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

How to calculate Circular Pitch of Gear given Diameter and Number of Teeth?

Circular Pitch of Gear given Diameter and Number of Teeth is defined as the distance measured along the pitch circle between two similar points on adjacent teeth of the gear is calculated using Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear. To calculate Circular Pitch of Gear given Diameter and Number of Teeth, you need Pitch Circle Diameter of Spur Gear (d) & Number of Teeth on Spur Gear (z). With our tool, you need to enter the respective value for Pitch Circle Diameter of Spur Gear & Number of Teeth on Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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