Pitch Circle Diameter of Gear given Module and Number of Teeth Calculator

✖Module of Spur Gear is the unit of size that indicates how big or small is a gear.ⓘ Module of Spur Gear [m]			+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%

✖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 Gear given Module and Number of Teeth [d]

⎘ Copy

👎

Formula

✖

Pitch Circle Diameter of Gear given Module and Number of Teeth

Formula

d = m \cdot z

Example

123 mm = 4.1 mm \cdot 30

Calculator

LaTeX

Reset

👍

Download Design of Spur Gears Formulas PDF PDF Image

Pitch Circle Diameter of Gear given Module and Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
d = m*z
This formula uses 3 Variables

Variables Used

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.
Module of Spur Gear - (Measured in Meter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
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

Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Number of Teeth on Spur Gear: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = m*z --> 0.0041*30

Evaluating ... ...

d = 0.123

STEP 3: Convert Result to Output's Unit

0.123 Meter -->123 Millimeter (Check conversion here)

FINAL ANSWER

123 Millimeter <-- Pitch Circle Diameter of Spur Gear

(Calculation completed in 00.020 seconds)

You are here -

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

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

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

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

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

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Pitch Circle Diameter of Gear given Module and Number of Teeth Formula

Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
d = m*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 Pitch Circle Diameter of Gear given Module and Number of Teeth?

Pitch Circle Diameter of Gear given Module and Number of Teeth calculator uses Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear to calculate the Pitch Circle Diameter of Spur Gear, Pitch Circle Diameter of Gear given Module and Number of Teeth is defined as the diameter of the circle passing through the center of all the holes of a gear. It depends on the inner diameter of the rim and the outer diameter of the rim. Pitch Circle Diameter of Spur Gear is denoted by d symbol.

How to calculate Pitch Circle Diameter of Gear given Module and Number of Teeth using this online calculator? To use this online calculator for Pitch Circle Diameter of Gear given Module and Number of Teeth, enter Module of Spur Gear (m) & Number of Teeth on Spur Gear (z) and hit the calculate button. Here is how the Pitch Circle Diameter of Gear given Module and Number of Teeth calculation can be explained with given input values -> 123000 = 0.0041*30.

FAQ

What is Pitch Circle Diameter of Gear given Module and Number of Teeth?

Pitch Circle Diameter of Gear given Module and Number of Teeth is defined as the diameter of the circle passing through the center of all the holes of a gear. It depends on the inner diameter of the rim and the outer diameter of the rim and is represented as d = m*z or Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear. Module of Spur Gear is the unit of size that indicates how big or small is a 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.

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

Pitch Circle Diameter of Gear given Module and Number of Teeth is defined as the diameter of the circle passing through the center of all the holes of a gear. It depends on the inner diameter of the rim and the outer diameter of the rim is calculated using Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear. To calculate Pitch Circle Diameter of Gear given Module and Number of Teeth, you need Module of Spur Gear (m) & Number of Teeth on Spur Gear (z). With our tool, you need to enter the respective value for Module 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.

How many ways are there to calculate Pitch Circle Diameter of Spur Gear?

In this formula, Pitch Circle Diameter of Spur Gear uses Module of Spur Gear & Number of Teeth on Spur Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Home

FREE PDFs

🔍 Search