Module of Gear given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
m = d/z
This formula uses 3 Variables
Variables Used
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.
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
m = d/z --> 0.118/30
Evaluating ... ...
m = 0.00393333333333333
STEP 3: Convert Result to Output's Unit
0.00393333333333333 Meter -->3.93333333333333 Millimeter (Check conversion ​here)
FINAL ANSWER
3.93333333333333 3.933333 Millimeter <-- Module of Spur Gear
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Tiruchirapalli
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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

Module of Gear given Pitch Circle Diameter Formula

​LaTeX ​Go
Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
m = 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 Module of Gear given Pitch Circle Diameter?

Module of Gear given Pitch Circle Diameter calculator uses Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear to calculate the Module of Spur Gear, Module of Gear given Pitch Circle Diameter is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases. Module of Spur Gear is denoted by m symbol.

How to calculate Module of Gear given Pitch Circle Diameter using this online calculator? To use this online calculator for Module of Gear given Pitch Circle Diameter, enter Pitch Circle Diameter of Spur Gear (d) & Number of Teeth on Spur Gear (z) and hit the calculate button. Here is how the Module of Gear given Pitch Circle Diameter calculation can be explained with given input values -> 3933.333 = 0.118/30.

FAQ

What is Module of Gear given Pitch Circle Diameter?
Module of Gear given Pitch Circle Diameter is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases and is represented as m = d/z or Module of Spur Gear = 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 Module of Gear given Pitch Circle Diameter?
Module of Gear given Pitch Circle Diameter is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases is calculated using Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear. To calculate Module of Gear given Pitch Circle Diameter, 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.
How many ways are there to calculate Module of Spur Gear?
In this formula, Module of Spur Gear uses Pitch Circle Diameter 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 -
  • Module of Spur Gear = 1/Diametral Pitch of Spur Gear
  • Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
  • Module of Spur Gear = Beam Strength of Spur Gear Teeth/(Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth)
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