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Normal Module of Helical Gear given Addendum Circle Diameter Formula

GoNormal Module of Helical Gear Formula

GoNormal Module of Helical Gear given Pitch Circle Diameter Formula

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The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear. Check FAQs

m n = \frac{d a}{\frac{z}{\cos (ψ)} + 2}

m_n - Normal Module of Helical Gear?d_a - Addendum Circle Diameter of Helical Gear?z - Number of Teeth on Helical Gear?ψ - Helix Angle of Helical Gear?

Normal Module of Helical Gear given Addendum Circle Diameter Example

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Here is how the Normal Module of Helical Gear given Addendum Circle Diameter equation looks like with Values.

Here is how the Normal Module of Helical Gear given Addendum Circle Diameter equation looks like with Units.

Here is how the Normal Module of Helical Gear given Addendum Circle Diameter equation looks like.

3.2224 = \frac{138}{\frac{37}{\cos (25)} + 2}

3.2224mm = \frac{138mm}{\frac{37}{\cos (25°)} + 2}

3.2224 = \frac{138}{\frac{37}{\cos (25)} + 2}

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Normal Module of Helical Gear given Addendum Circle Diameter Solution

Follow our step by step solution on how to calculate Normal Module of Helical Gear given Addendum Circle Diameter?

FIRST Step Consider the formula

m n = \frac{d a}{\frac{z}{\cos (ψ)} + 2}

Next Step Substitute values of Variables

∴

m n = \frac{138mm}{\frac{37}{\cos (25°)} + 2}

Next Step Convert Units

∴

m n = \frac{0.138m}{\frac{37}{\cos (0.4363rad)} + 2}

Next Step Prepare to Evaluate

∴

m n = \frac{0.138}{\frac{37}{\cos (0.4363)} + 2}

Next Step Evaluate

∴

m n = 0.0032224180916735m

Next Step Convert to Output's Unit

∴

m n = 3.2224180916735mm

LAST Step Rounding Answer

∴

m n = 3.2224mm

Normal Module of Helical Gear given Addendum Circle Diameter Formula Elements

Variables

Functions

Normal Module of Helical Gear

The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.

Symbol: m_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Normal Module of Helical Gear

Addendum Circle Diameter of Helical Gear

The Addendum Circle Diameter of Helical Gear is defined as a circle touching the outermost points of the teeth of a circular gear wheel.

Symbol: d_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Addendum Circle Diameter of Helical Gear

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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Helical Gear

Helix Angle of Helical Gear

Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle of Helical Gear

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Normal Module of Helical Gear

Go Normal Module of Helical Gear

m n = m \cdot \cos (ψ)

Go Normal Module of Helical Gear given Pitch Circle Diameter

m n = d \cdot \frac{\cos (ψ)}{z}

Go Normal Module of Helical Gear given Center to Center Distance between Two Gears

m n = a c \cdot \frac{2 \cdot \cos (ψ)}{z 1 + z 2}

Go Normal Module of Helical Gear given Virtual Number of Teeth

m n = \frac{d}{z'} \cdot ({\cos (ψ)}^{2})

Other formulas in Core Design Parameters category

Go Transverse Module of Helical Gear given Transverse Diametrical Pitch

m = \frac{1}{P}

Go Transverse Module of Helical Gear given Normal Module

m = \frac{m n}{\cos (ψ)}

Go Pitch Circle Diameter of Helical Gear

d = z \cdot \frac{m n}{\cos (ψ)}

Go Number of Teeth on Gear given Pitch Circle Diameter

z = d \cdot \frac{\cos (ψ)}{m n}

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

Normal Module of Helical Gear given Addendum Circle Diameter evaluator 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 evaluate 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 evaluate Normal Module of Helical Gear given Addendum Circle Diameter using this online evaluator? To use this online evaluator 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.

FAQs on Normal Module of Helical Gear given Addendum Circle Diameter

What is the formula to find Normal Module of Helical Gear given Addendum Circle Diameter?

The formula of Normal Module of Helical Gear given Addendum Circle Diameter is expressed as Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). Here is an example- 3222.418 = 0.138/(37/cos(0.4363323129985)+2).

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

With Addendum Circle Diameter of Helical Gear (d_a), Number of Teeth on Helical Gear (z) & Helix Angle of Helical Gear (ψ) we can find Normal Module of Helical Gear given Addendum Circle Diameter using the formula - Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Normal Module of Helical Gear?

Here are the different ways to Calculate Normal Module of Helical Gear-

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)

Can the Normal Module of Helical Gear given Addendum Circle Diameter be negative?

No, the Normal Module of Helical Gear given Addendum Circle Diameter, measured in Length cannot be negative.

Which unit is used to measure Normal Module of Helical Gear given Addendum Circle Diameter?

Normal Module of Helical Gear given Addendum Circle Diameter is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Normal Module of Helical Gear given Addendum Circle Diameter can be measured.

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Normal Module of Helical Gear given Addendum Circle Diameter Formula

​GoNormal Module of Helical Gear Formula

​GoNormal Module of Helical Gear given Pitch Circle Diameter Formula

Normal Module of Helical Gear given Addendum Circle Diameter Example

Normal Module of Helical Gear given Addendum Circle Diameter Solution

Normal Module of Helical Gear given Addendum Circle Diameter Formula Elements

Other Formulas to find Normal Module of Helical Gear

Other formulas in Core Design Parameters category

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

FAQs on Normal Module of Helical Gear given Addendum Circle Diameter

Variable Name

GoNormal Module of Helical Gear Formula

GoNormal Module of Helical Gear given Pitch Circle Diameter Formula