Normal Module of Helical Gear given Addendum Circle Diameter Calculator

✖The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.ⓘ Addendum Circle Diameter of Helical Gear [d_a]			+10% -10%
✖Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Helical Gear [z]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+10% -10%

✖The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.ⓘ Normal Module of Helical Gear given Addendum Circle Diameter [m_n]

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Normal Module of Helical Gear given Addendum Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
m_n = d_a/(z/cos(ψ)+2)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Normal Module of Helical Gear - (Measured in Meter) - The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
Addendum Circle Diameter of Helical Gear - (Measured in Meter) - The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.
Number of Teeth on Helical Gear - Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

STEP 1: Convert Input(s) to Base Unit

Addendum Circle Diameter of Helical Gear: 138 Millimeter --> 0.138 Meter (Check conversion here)
Number of Teeth on Helical Gear: 37 --> No Conversion Required
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_n = d_a/(z/cos(ψ)+2) --> 0.138/(37/cos(0.4363323129985)+2)

Evaluating ... ...

m_n = 0.0032224180916735

STEP 3: Convert Result to Output's Unit

0.0032224180916735 Meter -->3.2224180916735 Millimeter (Check conversion here)

FINAL ANSWER

3.2224180916735 ≈ 3.222418 Millimeter <-- Normal Module of Helical Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Normal Module of Helical Gear given Addendum Circle Diameter

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< Core Design Parameters Calculators

Pitch Circle Diameter of Helical Gear

LaTeX Go Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Transverse Module of Helical Gear given Normal Module

LaTeX Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Module of Helical Gear

LaTeX Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Module of Helical Gear given Transverse Diametrical Pitch

LaTeX Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Normal Module of Helical Gear given Addendum Circle Diameter Formula

LaTeX Go

Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
m_n = d_a/(z/cos(ψ)+2)

Define Addendum

The addendum is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and the outside diameter.

How to Calculate Normal Module of Helical Gear given Addendum Circle Diameter?

Normal Module of Helical Gear given Addendum Circle Diameter calculator uses Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2) to calculate the Normal Module of Helical Gear, Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix. Normal Module of Helical Gear is denoted by m_n symbol.

How to calculate Normal Module of Helical Gear given Addendum Circle Diameter using this online calculator? To use this online calculator for Normal Module of Helical Gear given Addendum Circle Diameter, enter Addendum Circle Diameter of Helical Gear (d_a), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Normal Module of Helical Gear given Addendum Circle Diameter calculation can be explained with given input values -> 3222.418 = 0.138/(37/cos(0.4363323129985)+2).

FAQ

What is Normal Module of Helical Gear given Addendum Circle Diameter?

Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix and is represented as m_n = d_a/(z/cos(ψ)+2) or Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel, Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

How to calculate Normal Module of Helical Gear given Addendum Circle Diameter?

Normal Module of Helical Gear given Addendum Circle Diameter formula is defined as the module of tooth datum orthogonal to the thread helix is calculated using Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). To calculate Normal Module of Helical Gear given Addendum Circle Diameter, you need Addendum Circle Diameter of Helical Gear (d_a), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Addendum Circle Diameter of Helical Gear, Number of Teeth on Helical Gear & Helix Angle of Helical 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 Normal Module of Helical Gear?

In this formula, Normal Module of Helical Gear uses Addendum Circle Diameter of Helical Gear, Number of Teeth on Helical Gear & Helix Angle of Helical Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -

Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear
Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)

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