Module Calculator

✖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.ⓘ Diameter of Pitch Circle [d_{pitch circle}]			+10% -10%
✖Number of teeth on wheel is the count of teeths on the wheel.ⓘ Number of Teeth on Wheel [T]			+10% -10%

✖The Module is the unit of size that indicates how big or small is a gear.ⓘ Module [m]

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Formula

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Module

Formula

`"m" = "d"_{"pitch circle"}/"T"`

Example

`"9.166667mm"="110mm"/"12"`

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Module Solution

STEP 0: Pre-Calculation Summary

Formula Used

Module = Diameter of Pitch Circle/Number of Teeth on Wheel
m = d_{pitch circle}/T
This formula uses 3 Variables

Variables Used

Module - (Measured in Meter) - The Module is the unit of size that indicates how big or small is a gear.
Diameter of Pitch Circle - (Measured in Meter) - 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.
Number of Teeth on Wheel - Number of teeth on wheel is the count of teeths on the wheel.

STEP 1: Convert Input(s) to Base Unit

Diameter of Pitch Circle: 110 Millimeter --> 0.11 Meter (Check conversion here)
Number of Teeth on Wheel: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = d_{pitch circle}/T --> 0.11/12

Evaluating ... ...

m = 0.00916666666666667

STEP 3: Convert Result to Output's Unit

0.00916666666666667 Meter -->9.16666666666667 Millimeter (Check conversion here)

FINAL ANSWER

9.16666666666667 ≈ 9.166667 Millimeter <-- Module

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Toothed Gearing » Toothed Gear Terminologies » Module

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 22 Toothed Gear Terminologies Calculators

Efficiency of Spiral Gears using Pitch Circle Diameter

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*Pitch Circle Diameter of Gear 2*Speed of Gear 2)/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*Pitch Circle Diameter of Gear 1*Speed of Gear 1)

Efficiency of Spiral Gears

Go Efficiency = (cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 1))/(cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*cos(Spiral Angle of Gear Teeth for Gear 2))

Addendum of Pinion

Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Addendum of Wheel

Go Addendum of Wheel = Number of Teeth on Wheel/2*(sqrt(1+Number of Teeth on Pinion/Number of Teeth on Wheel*(Number of Teeth on Pinion/Number of Teeth on Wheel+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Maximum Efficiency of Spiral Gears

Go Efficiency = (cos(Shaft Angle+Angle of Friction)+1)/(cos(Shaft Angle-Angle of Friction)+1)

Resisting Force Acting Tangentially on Driven

Go Resisting Force acting Tangentially on Driven = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)

Force Applied Tangentially on Driver

Go Force Applied Tangentially on Driver = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)

Axial Thrust on Driven

Go Axial Thrust on Driven = Resisting Force acting Tangentially on Driven*tan(Spiral Angle of Gear Teeth for Gear 2)

Axial Thrust on Driver

Go Axial Thrust on Driver = Force Applied Tangentially on Driver*tan(Spiral Angle of Gear Teeth for Gear 1)

Radius of Base Circle of Pinion

Go Radius of Base Circle of Pinion = Radius of Pitch Circle of Pinion*cos(Pressure Angle of Gear)

Radius of Base Circle of Wheel

Go Radius of Base Circle of Wheel = Radius of Pitch Circle of Wheel*cos(Pressure Angle of Gear)

Addendum of Rack

Go Addendum of Rack = (Number of Teeth on Pinion*(sin(Pressure Angle of Gear))^2)/2

Tangential Force on Gear Shaft

Go Tangential Force = Maximum Tooth Pressure*cos(Pressure Angle of Gear)

Normal Force on Gear Shaft

Go Normal Force = Maximum Tooth Pressure*sin(Pressure Angle of Gear)

Shaft Angle

Go Shaft Angle = Spiral Angle of Gear Teeth for Gear 1+Spiral Angle of Gear Teeth for Gear 2

Gear Ratio

Go Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion

Torque Exerted on Gear Shaft

Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Gear Ratio given Number of Teeth on Wheel and Pinion

Go Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion

Module

Go Module = Diameter of Pitch Circle/Number of Teeth on Wheel

Contact Ratio

Go Contact Ratio = Path of Contact/Circular Pitch

Module Formula

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

What is normal module in gear?

Normal module (KSH) Modifications of spur gears are made by gear cutting or grinding machines, even if they have different helix angles. Have a center distance value different from that of a spur gear, although they have the same module size and the same number of gear teeth.

What is module example?

When a fence has six-foot lengths, each six-foot length is an example of a module. When a machine has multiple parts that can stand separately and be put together, each part is an example of a module.

How to Calculate Module?

Module calculator uses Module = Diameter of Pitch Circle/Number of Teeth on Wheel to calculate the Module, Module is the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth. Module is denoted by m symbol.

How to calculate Module using this online calculator? To use this online calculator for Module, enter Diameter of Pitch Circle (d_{pitch circle}) & Number of Teeth on Wheel (T) and hit the calculate button. Here is how the Module calculation can be explained with given input values -> 9166.667 = 0.11/12.

FAQ

What is Module?

Module is the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth and is represented as m = d_{pitch circle}/T or Module = Diameter of Pitch Circle/Number of Teeth on Wheel. 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 & Number of teeth on wheel is the count of teeths on the wheel.

How to calculate Module?

Module is the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth is calculated using Module = Diameter of Pitch Circle/Number of Teeth on Wheel. To calculate Module, you need Diameter of Pitch Circle (d_{pitch circle}) & Number of Teeth on Wheel (T). With our tool, you need to enter the respective value for Diameter of Pitch Circle & Number of Teeth on Wheel 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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