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Number of Teeth on Gear given Addendum Circle Diameter Formula

GoNumber of Teeth on Gear given Pitch Circle Diameter Formula

GoNumber of Teeth on Helical Gear given Speed Ratio for Helical Gears Formula

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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. Check FAQs

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

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

Number of Teeth on Gear given Addendum Circle Diameter Example

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Here is how the Number of Teeth on Gear given Addendum Circle Diameter equation looks like with Values.

Here is how the Number of Teeth on Gear given Addendum Circle Diameter equation looks like with Units.

Here is how the Number of Teeth on Gear given Addendum Circle Diameter equation looks like.

39.8775 = (\frac{138}{3} - 2) \cdot \cos (25)

39.8775 = (\frac{138mm}{3mm} - 2) \cdot \cos (25°)

39.8775 = (\frac{138}{3} - 2) \cdot \cos (25)

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Number of Teeth on Gear given Addendum Circle Diameter Solution

Follow our step by step solution on how to calculate Number of Teeth on Gear given Addendum Circle Diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

z = (\frac{138mm}{3mm} - 2) \cdot \cos (25°)

Next Step Convert Units

∴

z = (\frac{0.138m}{0.003m} - 2) \cdot \cos (0.4363rad)

Next Step Prepare to Evaluate

∴

z = (\frac{0.138}{0.003} - 2) \cdot \cos (0.4363)

Next Step Evaluate

∴

z = 39.8775426296141

LAST Step Rounding Answer

∴

z = 39.8775

Number of Teeth on Gear given Addendum Circle Diameter Formula Elements

Variables

Functions

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

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

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

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 Number of Teeth on Helical Gear

Go Number of Teeth on Gear given Pitch Circle Diameter

z = d \cdot \frac{\cos (ψ)}{m n}

Go Number of Teeth on Helical Gear given Speed Ratio for Helical Gears

z = Z p \cdot i

Go Actual Number of Teeth on Gear given Virtual Number of Teeth

z = {(\cos (ψ))}^{3} \cdot z'

Other formulas in Core Design Parameters category

Go Transverse Module of Helical Gear given Transverse Diametrical Pitch

m = \frac{1}{P}

Go Normal Module of Helical Gear

m n = m \cdot \cos (ψ)

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)}

How to Evaluate Number of Teeth on Gear given Addendum Circle Diameter?

Number of Teeth on Gear given Addendum Circle Diameter evaluator uses Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear) to evaluate the Number of Teeth on Helical Gear, The Number of Teeth on Gear given Addendum Circle Diameter formula is defined as the number of protrusions onto the periphery of a gear that mesh with Teeth of another gear to transmit motion. Number of Teeth on Helical Gear is denoted by z symbol.

How to evaluate Number of Teeth on Gear given Addendum Circle Diameter using this online evaluator? To use this online evaluator for Number of Teeth on Gear given Addendum Circle Diameter, enter Addendum Circle Diameter of Helical Gear (d_a), Normal Module of Helical Gear (m_n) & Helix Angle of Helical Gear (ψ) and hit the calculate button.

FAQs on Number of Teeth on Gear given Addendum Circle Diameter

What is the formula to find Number of Teeth on Gear given Addendum Circle Diameter?

The formula of Number of Teeth on Gear given Addendum Circle Diameter is expressed as Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear). Here is an example- 39.87754 = (0.138/0.003-2)*cos(0.4363323129985).

How to calculate Number of Teeth on Gear given Addendum Circle Diameter?

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

What are the other ways to Calculate Number of Teeth on Helical Gear?

Here are the different ways to Calculate Number of Teeth on Helical Gear-

Number of Teeth on Helical Gear=Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
Number of Teeth on Helical Gear=Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
Number of Teeth on Helical Gear=(cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear

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: Value
: Unit

Number of Teeth on Gear given Addendum Circle Diameter Formula

​GoNumber of Teeth on Gear given Pitch Circle Diameter Formula

​GoNumber of Teeth on Helical Gear given Speed Ratio for Helical Gears Formula

Number of Teeth on Gear given Addendum Circle Diameter Example

Number of Teeth on Gear given Addendum Circle Diameter Solution

Number of Teeth on Gear given Addendum Circle Diameter Formula Elements

Other Formulas to find Number of Teeth on Helical Gear

Other formulas in Core Design Parameters category

How to Evaluate Number of Teeth on Gear given Addendum Circle Diameter?

FAQs on Number of Teeth on Gear given Addendum Circle Diameter

Variable Name

GoNumber of Teeth on Gear given Pitch Circle Diameter Formula

GoNumber of Teeth on Helical Gear given Speed Ratio for Helical Gears Formula