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Normal Module of Helical Gear given Virtual Number of Teeth 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}{z'} \cdot ({\cos (ψ)}^{2})

m_n - Normal Module of Helical Gear?d - Diameter of Pitch Circle of Helical Gear?z' - Virtual Number of Teeth on Helical Gear?ψ - Helix Angle of Helical Gear?

Normal Module of Helical Gear given Virtual Number of Teeth Example

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Here is how the Normal Module of Helical Gear given Virtual Number of Teeth equation looks like with Values.

Here is how the Normal Module of Helical Gear given Virtual Number of Teeth equation looks like with Units.

Here is how the Normal Module of Helical Gear given Virtual Number of Teeth equation looks like.

1.7949 = \frac{118}{54} \cdot ({\cos (25)}^{2})

1.7949mm = \frac{118mm}{54} \cdot ({\cos (25°)}^{2})

1.7949 = \frac{118}{54} \cdot ({\cos (25)}^{2})

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Normal Module of Helical Gear given Virtual Number of Teeth Solution

Follow our step by step solution on how to calculate Normal Module of Helical Gear given Virtual Number of Teeth?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m n = \frac{118mm}{54} \cdot ({\cos (25°)}^{2})

Next Step Convert Units

∴

m n = \frac{0.118m}{54} \cdot ({\cos (0.4363rad)}^{2})

Next Step Prepare to Evaluate

∴

m n = \frac{0.118}{54} \cdot ({\cos (0.4363)}^{2})

Next Step Evaluate

∴

m n = 0.00179489757354654m

Next Step Convert to Output's Unit

∴

m n = 1.79489757354654mm

LAST Step Rounding Answer

∴

m n = 1.7949mm

Normal Module of Helical Gear given Virtual Number of Teeth 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

Diameter of Pitch Circle of Helical Gear

Diameter of Pitch Circle of Helical 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 Diameter of Pitch Circle of Helical Gear

Virtual Number of Teeth on Helical Gear

The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.

Symbol: z'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Virtual 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 Addendum Circle Diameter

m n = \frac{d a}{\frac{z}{\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 Virtual Number of Teeth?

Normal Module of Helical Gear given Virtual Number of Teeth evaluator uses Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual 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 Virtual Number of Teeth 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 Virtual Number of Teeth using this online evaluator? To use this online evaluator for Normal Module of Helical Gear given Virtual Number of Teeth, enter Diameter of Pitch Circle of Helical Gear (d), Virtual 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 Virtual Number of Teeth

What is the formula to find Normal Module of Helical Gear given Virtual Number of Teeth?

The formula of Normal Module of Helical Gear given Virtual Number of Teeth is expressed as Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2). Here is an example- 1794.898 = 0.118/54*(cos(0.4363323129985)^2).

How to calculate Normal Module of Helical Gear given Virtual Number of Teeth?

With Diameter of Pitch Circle of Helical Gear (d), Virtual Number of Teeth on Helical Gear (z') & Helix Angle of Helical Gear (ψ) we can find Normal Module of Helical Gear given Virtual Number of Teeth using the formula - Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual 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 Virtual Number of Teeth be negative?

No, the Normal Module of Helical Gear given Virtual Number of Teeth, measured in Length cannot be negative.

Which unit is used to measure Normal Module of Helical Gear given Virtual Number of Teeth?

Normal Module of Helical Gear given Virtual Number of Teeth 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 Virtual Number of Teeth can be measured.

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Normal Module of Helical Gear given Virtual Number of Teeth Formula

​GoNormal Module of Helical Gear Formula

​GoNormal Module of Helical Gear given Pitch Circle Diameter Formula

Normal Module of Helical Gear given Virtual Number of Teeth Example

Normal Module of Helical Gear given Virtual Number of Teeth Solution

Normal Module of Helical Gear given Virtual Number of Teeth 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 Virtual Number of Teeth?

FAQs on Normal Module of Helical Gear given Virtual Number of Teeth

Variable Name

GoNormal Module of Helical Gear Formula

GoNormal Module of Helical Gear given Pitch Circle Diameter Formula