Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter Calculator

✖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 Spur Gear [d]			+10% -10%

✖Diametral Pitch of Spur Gear is the number of teeth on the Spur Gear per unit length of the pitch diameter.ⓘ Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter [P_d]

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Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
P_d = z/d
This formula uses 3 Variables

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = z/d --> 30/0.118

Evaluating ... ...

P_d = 254.237288135593

STEP 3: Convert Result to Output's Unit

254.237288135593 1 per Meter -->0.254237288135593 1 per Millimeter (Check conversion here)

FINAL ANSWER

0.254237288135593 ≈ 0.254237 1 per Millimeter <-- Diametral 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 » Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

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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

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter Formula

LaTeX Go

Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
P_d = z/d

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 Number of teeth and Pitch Circle Diameter?

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter calculator uses Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear to calculate the Diametral Pitch of Spur Gear, Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter is the number of teeth on the Spur Gear per unit length of the pitch diameter. Diametral Pitch of Spur Gear is denoted by P_d symbol.

How to calculate Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter using this online calculator? To use this online calculator for Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter, enter Number of Teeth on Spur Gear (z) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter calculation can be explained with given input values -> 0.000254 = 30/0.118.

FAQ

What is Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter?

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter is the number of teeth on the Spur Gear per unit length of the pitch diameter and is represented as P_d = z/d or Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of 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 & Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter?

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter is the number of teeth on the Spur Gear per unit length of the pitch diameter is calculated using Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear. To calculate Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter, you need Number of Teeth on Spur Gear (z) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Number of Teeth on Spur Gear & Pitch Circle Diameter 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 Number of Teeth on Spur Gear & Pitch Circle Diameter of Spur Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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