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Module Formula

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The Module is the unit of size that indicates how big or small is a gear. Check FAQs

m = \frac{d pitch circle}{T}

m - Module?d_{pitch circle} - Diameter of Pitch Circle?T - Number of Teeth on Wheel?

Module Example

With values

With units

Only example

Here is how the Module equation looks like with Values.

Here is how the Module equation looks like with Units.

Here is how the Module equation looks like.

9.1667 = \frac{110}{12}

9.1667mm = \frac{110mm}{12}

9.1667 = \frac{110}{12}

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Module Solution

Follow our step by step solution on how to calculate Module?

FIRST Step Consider the formula

m = \frac{d pitch circle}{T}

Next Step Substitute values of Variables

∴

m = \frac{110mm}{12}

Next Step Convert Units

∴

m = \frac{0.11m}{12}

Next Step Prepare to Evaluate

∴

m = \frac{0.11}{12}

Next Step Evaluate

∴

m = 0.00916666666666667m

Next Step Convert to Output's Unit

∴

m = 9.16666666666667mm

LAST Step Rounding Answer

∴

m = 9.1667mm

Module Formula Elements

Variables

Module

The Module is the unit of size that indicates how big or small is a gear.

Symbol: m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Module

Diameter of Pitch Circle

The Diameter of Pitch Circle of gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

Symbol: d_{pitch circle}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Pitch Circle

Number of Teeth on Wheel

Number of teeth on wheel is the count of teeths on the wheel.

Symbol: T

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth on Wheel

Other formulas in Toothed Gear Terminologies category

Go Torque Exerted on Gear Shaft

τ = P t \cdot \frac{d pitch circle}{2}

Go Work Output on Driven

w = R \cdot \cos (α 2 + Φ) \cdot π \cdot d 2 \cdot N 2

Go Work Output on Driver

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

Go Addendum of Pinion

A p = \frac{Z p}{2} \cdot (\sqrt{1 + \frac{T}{Z p} \cdot (\frac{T}{Z p} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

How to Evaluate Module?

Module evaluator uses Module = Diameter of Pitch Circle/Number of Teeth on Wheel to evaluate the Module, Module formula is defined as the ratio of the pitch circle diameter to the number of teeth in a toothed gear, providing a critical parameter in gear design and engineering applications. Module is denoted by m symbol.

How to evaluate Module using this online evaluator? To use this online evaluator for Module, enter Diameter of Pitch Circle (d_{pitch circle}) & Number of Teeth on Wheel (T) and hit the calculate button.

FAQs on Module

What is the formula to find Module?

The formula of Module is expressed as Module = Diameter of Pitch Circle/Number of Teeth on Wheel. Here is an example- 9166.667 = 0.11/12.

How to calculate Module?

With Diameter of Pitch Circle (d_{pitch circle}) & Number of Teeth on Wheel (T) we can find Module using the formula - Module = Diameter of Pitch Circle/Number of Teeth on Wheel.

Can the Module be negative?

No, the Module, measured in Length cannot be negative.

Which unit is used to measure Module?

Module is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Module can be measured.

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