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Virtual Number of Teeth on Helical Gear Formula

GoVirtual Number of Teeth on Helical Gear given Actual Number of Teeth Formula

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

z' = 2 \cdot π \cdot \frac{r vh}{P N}

z' - Virtual Number of Teeth on Helical Gear?r_vh - Virtual Pitch Circle Radius for Helical Gear?P_N - Normal Circular Pitch of Helical Gear?π - Archimedes' constant?

Virtual Number of Teeth on Helical Gear Example

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

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

Here is how the Virtual Number of Teeth on Helical Gear equation looks like.

20.944 = 2 \cdot 3.1416 \cdot \frac{32}{9.6}

20.944 = 2 \cdot 3.1416 \cdot \frac{32mm}{9.6mm}

20.944 = 2 \cdot 3.1416 \cdot \frac{32}{9.6}

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Virtual Number of Teeth on Helical Gear Solution

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

FIRST Step Consider the formula

z' = 2 \cdot π \cdot \frac{r vh}{P N}

Next Step Substitute values of Variables

∴

z' = 2 \cdot π \cdot \frac{32mm}{9.6mm}

Next Step Substitute values of Constants

∴

z' = 2 \cdot 3.1416 \cdot \frac{32mm}{9.6mm}

Next Step Convert Units

∴

z' = 2 \cdot 3.1416 \cdot \frac{0.032m}{0.0096m}

Next Step Prepare to Evaluate

∴

z' = 2 \cdot 3.1416 \cdot \frac{0.032}{0.0096}

Next Step Evaluate

∴

z' = 20.943951023932

LAST Step Rounding Answer

∴

z' = 20.944

Virtual Number of Teeth on Helical Gear Formula Elements

Variables

Constants

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

Virtual Pitch Circle Radius for Helical Gear

Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.

Symbol: r_vh

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Virtual Pitch Circle Radius for Helical Gear

Normal Circular Pitch of Helical Gear

Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.

Symbol: P_N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Normal Circular Pitch of Helical Gear

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Virtual Number of Teeth on Helical Gear

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

z' = \frac{z}{{(\cos (ψ))}^{3}}

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 Virtual Number of Teeth on Helical Gear?

Virtual Number of Teeth on Helical Gear evaluator uses Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear to evaluate the Virtual Number of Teeth on Helical Gear, Virtual Number of Teeth on Helical Gear formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane. Virtual Number of Teeth on Helical Gear is denoted by z' symbol.

How to evaluate Virtual Number of Teeth on Helical Gear using this online evaluator? To use this online evaluator for Virtual Number of Teeth on Helical Gear, enter Virtual Pitch Circle Radius for Helical Gear (r_vh) & Normal Circular Pitch of Helical Gear (P_N) and hit the calculate button.

FAQs on Virtual Number of Teeth on Helical Gear

What is the formula to find Virtual Number of Teeth on Helical Gear?

The formula of Virtual Number of Teeth on Helical Gear is expressed as Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear. Here is an example- 20.94395 = 2*pi*0.032/0.0096.

How to calculate Virtual Number of Teeth on Helical Gear?

With Virtual Pitch Circle Radius for Helical Gear (r_vh) & Normal Circular Pitch of Helical Gear (P_N) we can find Virtual Number of Teeth on Helical Gear using the formula - Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear. This formula also uses Archimedes' constant .

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

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

Virtual Number of Teeth on Helical Gear=Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3

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