Module of Gear given Tolerance Factor Calculator

✖The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.ⓘ Tolerance Factor of Spur Gear [ϕ]			+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%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Spur Gears Formulas PDF PDF Image

Module of Gear given Tolerance Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
m = ϕ-(0.25*(sqrt(d)))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Module of Spur Gear - (Measured in Millimeter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
Tolerance Factor of Spur Gear - The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.
Pitch Circle Diameter of Spur Gear - (Measured in Millimeter) - 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

Tolerance Factor of Spur Gear: 4.2 --> No Conversion Required
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 118 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = ϕ-(0.25*(sqrt(d))) --> 4.2-(0.25*(sqrt(118)))

Evaluating ... ...

m = 1.48430487719995

STEP 3: Convert Result to Output's Unit

0.00148430487719995 Meter -->1.48430487719995 Millimeter (Check conversion here)

FINAL ANSWER

1.48430487719995 ≈ 1.484305 Millimeter <-- Module of Spur Gear

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Parameters of Spur Gear » Module of Gear given Tolerance Factor

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ 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

Module of Gear given Tolerance Factor Formula

LaTeX Go

Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
m = ϕ-(0.25*(sqrt(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 Module of Gear given Tolerance Factor?

Module of Gear given Tolerance Factor calculator uses Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))) to calculate the Module of Spur Gear, Module of Gear given Tolerance Factor 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 Tolerance Factor using this online calculator? To use this online calculator for Module of Gear given Tolerance Factor, enter Tolerance Factor of Spur Gear (ϕ) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Module of Gear given Tolerance Factor calculation can be explained with given input values -> 1484.305 = 4.2-(0.25*(sqrt(0.118))).

FAQ

What is Module of Gear given Tolerance Factor?

Module of Gear given Tolerance Factor 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 = ϕ-(0.25*(sqrt(d))) or Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing & 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 Module of Gear given Tolerance Factor?

Module of Gear given Tolerance Factor 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 = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). To calculate Module of Gear given Tolerance Factor, you need Tolerance Factor of Spur Gear (ϕ) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Tolerance Factor of 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 Module of Spur Gear?

In this formula, Module of Spur Gear uses Tolerance Factor of Spur Gear & Pitch Circle Diameter of 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 = Pitch Circle Diameter of Spur Gear/Number of Teeth on 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)

Home

FREE PDFs

🔍 Search