Tolerance factor of Gear Calculator

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

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

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Tolerance factor of Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = (m)+(0.25*(sqrt(d))) --> (0.0041)+(0.25*(sqrt(0.118)))

Evaluating ... ...

ϕ = 0.0899778201865883

STEP 3: Convert Result to Output's Unit

0.0899778201865883 --> No Conversion Required

FINAL ANSWER

0.0899778201865883 ≈ 0.089978 <-- Tolerance Factor 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 » Dynamics of Spur Gear » Tolerance factor of Gear

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Dynamics of Spur Gear Calculators

Radial Force of Gear given Tangential Force and Pressure Angle

LaTeX Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

LaTeX Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

LaTeX Go Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Tangential Force on Gear given Torque and Pitch Circle Diameter

LaTeX Go Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear

Tolerance factor of Gear Formula

LaTeX Go

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

Tolerance factor of Gear calculator uses Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))) to calculate the Tolerance Factor of Spur Gear, Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances. Tolerance Factor of Spur Gear is denoted by ϕ symbol.

How to calculate Tolerance factor of Gear using this online calculator? To use this online calculator for Tolerance factor of Gear, enter Module of Spur Gear (m) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Tolerance factor of Gear calculation can be explained with given input values -> 5.585878 = (4.1)+(0.25*(sqrt(0.118))).

FAQ

What is Tolerance factor of Gear?

Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances and is represented as ϕ = (m)+(0.25*(sqrt(d))) or Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). Module of spur gear in mm is the unit of size that indicates how big or small is the 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.

How to calculate Tolerance factor of Gear?

Tolerance factor of Gear is a factor to account for the accuracy of the gear manufacturing. It depends on the module and pitch circle diameter. It is useful in calculating the effects of the accumulated variation that is allowed by specified dimensions and tolerances is calculated using Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). To calculate Tolerance factor of Gear, you need Module of Spur Gear (m) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Module 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.

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