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Tolerance factor of Gear Formula

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The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing. Check FAQs

ϕ = (m) + (0.25 \cdot (\sqrt{d}))

ϕ - Tolerance Factor of Spur Gear?m - Module of Spur Gear?d - Pitch Circle Diameter of Spur Gear?

Tolerance factor of Gear Example

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Here is how the Tolerance factor of Gear equation looks like with Values.

Here is how the Tolerance factor of Gear equation looks like with Units.

Here is how the Tolerance factor of Gear equation looks like.

0.09 = (4.1) + (0.25 \cdot (\sqrt{118}))

0.09 = (4.1mm) + (0.25 \cdot (\sqrt{118mm}))

0.09 = (4.1) + (0.25 \cdot (\sqrt{118}))

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Tolerance factor of Gear Solution

Follow our step by step solution on how to calculate Tolerance factor of Gear?

FIRST Step Consider the formula

ϕ = (m) + (0.25 \cdot (\sqrt{d}))

Next Step Substitute values of Variables

∴

ϕ = (4.1mm) + (0.25 \cdot (\sqrt{118mm}))

Next Step Convert Units

∴

ϕ = (0.0041m) + (0.25 \cdot (\sqrt{0.118m}))

Next Step Prepare to Evaluate

∴

ϕ = (0.0041) + (0.25 \cdot (\sqrt{0.118}))

Next Step Evaluate

∴

ϕ = 0.0899778201865883

LAST Step Rounding Answer

∴

ϕ = 0.09

Tolerance factor of Gear Formula Elements

Variables

Functions

Tolerance Factor of Spur Gear

The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.

Symbol: ϕ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tolerance Factor of Spur Gear

Module of Spur Gear

Module of spur gear in mm is the unit of size that indicates how big or small is the spur gear.

Symbol: m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Module of Spur Gear

Pitch Circle Diameter of 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.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Spur Gear

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.

Syntax: sqrt(Number)

Other formulas in Dynamics of Spur Gear category

Go Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

M t = P t \cdot \frac{d}{2}

Go Tangential Force on Gear given Torque and Pitch Circle Diameter

P t = 2 \cdot \frac{M t}{d}

Go Radial Force of Gear given Tangential Force and Pressure Angle

P r = P t \cdot \tan (Φ)

Go Tangential Force on Gear given Radial Force and Pressure Angle

P t = P r \cdot \cot (Φ)

How to Evaluate Tolerance factor of Gear?

Tolerance factor of Gear evaluator uses Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))) to evaluate 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 evaluate Tolerance factor of Gear using this online evaluator? To use this online evaluator for Tolerance factor of Gear, enter Module of Spur Gear (m) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button.

FAQs on Tolerance factor of Gear

What is the formula to find Tolerance factor of Gear?

The formula of Tolerance factor of Gear is expressed as Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). Here is an example- 5.585878 = (4.1)+(0.25*(sqrt(0.118))).

How to calculate Tolerance factor of Gear?

With Module of Spur Gear (m) & Pitch Circle Diameter of Spur Gear (d) we can find Tolerance factor of Gear using the formula - Tolerance Factor of Spur Gear = (Module of Spur Gear)+(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). This formula also uses Square Root (sqrt) function(s).

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Tolerance factor of Gear Formula

Tolerance factor of Gear Example

Tolerance factor of Gear Solution

Tolerance factor of Gear Formula Elements

Other formulas in Dynamics of Spur Gear category

How to Evaluate Tolerance factor of Gear?

FAQs on Tolerance factor of Gear

Variable Name